Home
Ask directory
Geometry
September 2021
7

Geometry Q&A Archive of September 7, 2021

Select Question

September 7 of 2021

Solve A) and B) A) Determine the coordinates of the center and the radius of the circumference and graph it 4x2 4y2 4x 8y 11 = 0 B) Graph and determine the coordinates of the foci, the vertices, the straight side and the eccentricity of the following ellipse x2 + 2y2 2x + 8y + 5 = 0

Find GK 600 Write your answer in simplified, rationalized form Do not round: GH

Find the area of the parallelogram below. Note that it is not drawn to scale. Do not include units. 5 30° 25

(y-7)2 (X-42 Graph the hyperbola 64 36 1. Give the domain, range, center; nt? vertices, foci, and equations of the asymptotes for the figure_

Find the measure of each side indicated. Round to the nearest tenth: 13) 14) 15) 16) 10 ]

Find the measure of each side indicated. Round to the nearest tenth.

And the missing side in each triangle using any method. Check your answers using 3 different methods. The triangles are congruent. B Write a sequence of red Motone aleserrianaXYZonjDengla BCA

Problem: A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. Write a formula for the area of the fenced field in terms of the length of the field along the river (L). Problem 7: A farmer wants to fence…

Find the area of the triangle. Use the proper units.

Which of these lengths could be the sides of a triangle? 3 cm. 15 cm; 20 cm 15 cm, 4 cm; 20 cm 11 cm; 5 cm, 16 cm 5 cm; 12 cm; 16 cm

The position vector r, starting at the origin, terminates at and specifies the point in space (x, Y, z). Find the surface swept out by the tip of r if: a) a = 0. Characterize geometrically. b) F = 0. Describe the geometric role of &. The vector & is constant (in magnitude and direction). (30…

Name Fill in the reasons that justifies each step. Given: JL = 32 Prove: x = 5 Statements Reasons 1) JL = 32 2) JK + KL = JL 3) 3x - 7 + 4(x + 1) = 32 4) 3x - 7 + 4x + 4 = 32 5) 7x - 3 = 32 6) 7x = 35 7) x = 5

Kacior Ww Aw + bas 20 by grouping

6y Xg 30 10 92 + 7 102 3v + 0.5 76' 32. "8 4y- 2 33_ y30v ABC Find the values of the variables that make that are similar in the figure of triangles pairs Name three 31 42 EG "08 GD = _2 29. FD =_ '83 2` = mZEDC 27 . 50? 39p mZDGE =_ '93 "Z4bwozbJ} 042 Oxoidwoj 0} UMoy} Wibjbeip 04} e30

Find all the solutions for "x" (The following problems are quadratlcs ) 15) X02 X+2 16) Xz * 18) X-_ =2 19) 16 Ax 4X 21) 5 _3x 15 Solve the following problems 22) On a map the scale IS 1.5 inches to 5 miles If the distance measured on the map from one town to another IS 10,5 inches, then how…

6.6 Use Proportionality Theorem Name Use the figure to complete the proportion: % 1 8 2 R Fa E8 8 %- % G 9 Determine whether the given information implies Bell DE. Explain. Determine a value of the variable e0 that makes DEl Bc 10. 12_ Determine the length of each segment: 13. 7G 14. FC 15. ED…

6.3 Exploring Similar Polygons Quadrilateral ABCD is similar to quadrilateral EFGH; find each of the following: 1) Scale factor of ABCD to EFGH? 2) EF = 3) FG = 4) GH = 5) Perimeter of ABCD? 6) Perimeter of EFGH? 7) Ratio of perimeter of ABCD to EFGH? Each pair of polygons is similar. Find the…

Measure the area of the figure shown below in each of the three nonstandard units of area shown to the right of the figure. Do so by tiling (covering) the region with the unit area shape.

Which angle number is supplementary to angle to ∠LKO?

Roll a six-sided die 60 times, and record each result. Based on the data you collect, find the experimental probability of each event. a) Rolling a 3 b) Rolling an odd number c) Rolling a number larger than 4 d) Rolling a number divisible by 3 For each category a-d above, calculate the…

Which postulate can be used to prove the triangles below are congruent? SSS SAS ASA AAS NONE

Figure ABCD is a rectangle. Find the value of x. 3x - 8 BD = 32 x = [?]

12. In a paragraph, discuss how the definition 1 - of circle is used in constructing shapes 1d (other , than circles): Include at least two examples in be your discussion. te

13. Give instructions telling Robot Rob how to move and turn so that his path is a regular octagon that has sides of length 3 meters. Draw a sketch to indicate Rob's route and explain the reasoning you use to determine Rob's angles of turning. 14. Give instructions telling Automaton Annie how…

The midpoint of AB = ([ ? ], [ ])

If m∠ACD = 100°, then m∠ECB = [ ? ]°

Dilation of triangle ABC from vertex A, and CC' = 2. Use "ABC'" as the given information in each part and find B'C'. Given AB = 9, AC = 4, and BC = 7.

Multiply: Use "theta" for Î¸ and (sin(Î¸))^2 for sin^2Î¸. (cos Î¸ + sin Î¸)^2

Find sin € , cos €, and tan € if the terminal side of € lies along the line y rationalize the denominator: 21 in QIV You do not need t0 sin 0 Preview cos 8 Previcw tan 0 Preview

Find the coordinates of midpoint E. (Enter answer in simplified form:) A(-3ab) E = ([ ?1, [ 1) Midpoint Formula: M = (4/7n, XX)

Triangles ABC and DEF are similar triangles. Solve. Round to the nearest tenth: Find the area of triangle ABC: 1187.5

AUFEXC4 7.5.019, Can an FNE cylinder | CC mean [H1 Points] DETAILS AUFEXC4 7.5.036 conader Taheiphl [1 Point] GOALS UFFXCAT50er Moon

(a) Let f(x) = âˆš(2 + 9x^2). Find f'(x). f'(x) = (b) Let f(x) = e^(âˆš(2 + 9x)). Find f''(x): f''(x) =

Compound Shapes re, round your answer to one decimal place 2) 10 in 13in 8 in Area:

Find the Fundamental Theorem of Calculus Need Help? [-1 Point] DETAILS AUFEXC4 7.5.011 Find the definite integral of a function for calculations involving given limits to exceed value and moment F = definite integral from a to b of f(x) dx Need Help? [-1 Point] DETAILS AUFEXC4 7.5.012 Find the…

AABC ADEF For each circle, variables 1 and 2 are given. They are vendsimilar = The sum measures the side angles length of the triangle. Then determine the angle of 180Â°, the side length, the angle, the side length, the angle, and the side length.

MZJGH J05' SS I0 40" A) 1409 C) 110? B) 1858 D) 1348

Find the measure of the arc Or a M) 80 126 A) 728 C) 770 B) 82" D) 548

Purts = Q and T were celebrated along the edge 0& /MGY with por Rra Iolang are pOaa4 widths the (ier; on the opposite edge. Use ARSQ and ARTQ [0 Ocierma â‚¬ Whkhcl ti

Learn the limit. lim (8 sin Î¸)| Î¸â†’0

The following proof has an error. Find the error and choose the correct replacement. Given: ┱ ABCD Prove: AC and BD bisect each other at E. Statements Reasons 1. ABCD is a parallelogram. 1. Given 2. AB || DC 2. Definition of a parallelogram 3. ∠1 ≅ ∠4; ∠2 ≅ ∠3 3. Alternate interior angles are…

31) An airplane is flying at an altitude of 6000 m over the ocean directly toward coastline. At a certain time , the angle of depression t0 the coastline from the airplane is [49. How much farther (to the nearest kilometer) does the airplane have to fly before it is directly above the…

Which rule explains why these scalene triangles are similar? SSS SAS None of the above; the triangles cannot be proven similar. Write a similarity statement. 4ST

Two squares ABCD and DEFG are shown: AB = 8 units. Find the area of AACF.

The area of square ABCD is 144 square units. The area of square EFGH is 64 square units. H âˆˆ AB and G âˆˆ BC. The blue area is three times the red area. Find the area of AHBG.

Instructions Question 7 Find Lk = 8âˆš2k Previous

Identify the similar triangles each figure includes. Explain why they are similar and find the missing angle AB. Find AB, BC, and BN. Round each answer to the nearest tenth.

True False PS ≅ PS RS > PT ∠RPS ≅ ∠TSP

Find the remaining trigonometric functions of 0 if COS 0 and 0 terminates in QII: 25 sin @ Preview cos 0 Preview tan 0 Preview cot 0 Preview sec 0 Preview C8c 0 Preview

List Ihe sides 0l ADEF in order from shortest t0 longest, 602 DF DE

Triangle has one side of length 22 and another of length 19. Which of the following are possible lengths of the third side?

Multiply: Use "theta" for 0 and (cos(theta))^2 for cos^2(0).

Calculator Two groups hike to the same camp heading miles different directions. Group 1 travels south-east and then turns 52 degrees towards north. Group 2 travels 24 degrees from camp, starts due west, and then turns towards north. Which group is farther from camp? Group 1: Distance from…

Texts: 519 399 47 yd 5 31 yd 30 yd 31 yd 32 yd 35 yd 46 yd 47 yd 50 yd PREV 16 NET

In AABC , point D is the centroid, and BD = 4 Find BE BE

Write an equation of the perpendicular bisector of the segment with the endpoints (2,1) and (6,3). y =

AP = AP = AE AE 8

QT = SU MZRQT > m_RSU RT < RU Tuc

Find the remaining sides of a 309 60 90 triangle if the shortest side is 9. Longest side: Preview Middle side: Preview

Find JK 2.9 M JK

The mayor wants to build a new gas station, so where should the gas station be built? The gas station should be built at the same distance from the three main roads in town. At which point of concurrency should it be located? Centroid Circumcenter Incenter Orthocenter

Question 12 (1 point) Which of the following is the equation of a circle with center at (0, 0) and diameter of 22 units? Ox^2 + y^2 = 121 Ox^2 + y^2 = 484 Ox^2 + y^2 = 22 Ox^2 + y^2 = 0

Question 14 (1 point) Determine the distance bctween points J27 , 52) and K(-35, 344). 62.5 units 61.5 units 11.3 units 14.3 units

3. ~8 ft 3.7 ft 12 ft

Which of the following points, W(22,11), X(-1,0), Y(24, 7), and Z(-25,0), are the same distance from the Origin?

Algebra Find the missing angle measures. 25. (2x + 20) 2x 2x (2x + 20)

To find the length of KL, the student did the following work: K(3, -3) and L(5, -8). d = âˆš[(x2 - x1)^2 + (y2 - y1)^2] d = âˆš[(-3 - 3)^2 + (-8 - (-3))^2] d = âˆš[(-6)^2 + (-5)^2] d = âˆš[36 + 25] d = âˆš61

Given: mDe = 443Â°; Mz? = (2xâˆš9)Â°; mZ4 = MZB Prove: âˆ EDW = âˆ Ea Converse Alternate Interior Angles Postulate: If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel. Converse Alternate Exterior Angles Postulate: If two lines are…

Decide whether a triangle with side lengths of 5, 5, and 5.5 is right, acute, or obtuse. Explain your reasoning: obtuse (right) 55 = 5, right (acute) 55 < 51.

Find the values of x and y. The diagram is not drawn to scale. x = 40, y = 100; x = 30, y = 120; x = 120, y = 30; x = 45, y = 90

Given: AEFH and AGFH are right triangles. Prove: AFHAAGFH is a right triangle. Statements Reasons ---------------------------------------------- 1. AEFH and AGFH are right triangles. Given 2. âˆ ZFHE and âˆ LEHG are right angles. Definition of right…

A 6 ft man standing near the flagpole casts a 2 ft shadow. The flagpole casts a shadow 10 ft long. The flagpole is 10 ft tall.

What is the midpoint MP? Explain how you got your answer:

State which lines on the graph are parallel and which are perpendicular. Then write the equation of each line on the graph. Line 1: No lines are perpendicular. No lines are parallel. Line 2: No lines are perpendicular. No lines are parallel. Line 3: The lines are parallel. The equation of…

Question 9 (1 point) Camp Potlatch must hire a lifeguard and a nurse; plus one counselor for every 12 campers. Select the equation that best shows the relationship between the number of campers, c, and the number of staff, s.

Find the area of the shaded region. 112 square units 76 square units 96 square units 192 square units Please select the best answer from the choices provided.

Step 1: Draw a line and label it. Step 2: Draw a point that is not on the line and label it R. Step 3: Place the compass on R and open the compass wide. Strike an arc that intersects twice. Step 4: Place the compass on the left intersection of the arc and the line. Open the compass a little…

Which inequality describes the range of possible values of x? 0.5 > x 0.5 < *

Which of the following is conjunction for "A ray has only one endpoint if kangaroos can sing"? A ray has only one endpoint if and only if kangaroos can sing.

Triangle A has an area of 60 ydÂ². Triangle B has an area of 15 vdÂ². Triangle A is similar to triangle B. The perimeter of triangle A is 36 yd. The perimeter of triangle B is

In the coordinate plane, three vertices of trapezoid STUV are S(0, 0), T(le, c), and V(d, 0). If point U is halfway between points S and V, what are the coordinates of point U? The diagram is not drawn to scale.

Find the numbered angles when ∠1 = 2x - 21, ∠2 = x, and ∠3 = y. Then, classify the triangle. The diagram is not drawn to scale. a. ∠1 = 53°, ∠2 = 37°, ∠3 = 143° - right triangle b. ∠1 = 113°, ∠2 = 67°, ∠3 = 113° - obtuse triangle c. ∠1 = 25°, ∠2 = 23°, ∠3 = 157° - acute triangle d. ∠1 = 85°, ∠2…

Find the exact circumference of the circle. 12 cm 9 cm 17 cm 13 cm 26 cm

Wile parachuted from an airplane at a steady speed to capture Road Runner. Ten minutes after jumping, Wile was 400 feet up, and 20 minutes after jumping he was 600 feet up. What was Wile's speed, in feet per minute, on the way down? (tmin) How high, in feet, was Wile when he jumped? How long,…

Find the surface area of the cylinder to the nearest square inch. Height down to scale: 1,244 inÂ² 4,134 inÂ² 3,280 inÂ² 12,051 inÂ² Please select the best answer from the choices provided.

If a triangle is isosceles, then it has two congruent angles. Which statement below is the contrapositive? If a triangle does not have two congruent angles, then it is not isosceles. If a triangle has two congruent angles, then it is isosceles. If a triangle is not isosceles, then it does not…

Given 4 ABC construct equilateral triangles 4 BCD _ 4 CAE and ABC Prove that AD = BE = CF ABF outside of B

The Triangle Inequality Consider C (0,r) . a circle with center 0 and radius r Let P be any point inside of € other than the center. Draw the ray OP and let its intersection with the circle be point A Show that for any other point B on the edge of the circle PB > PA,

A dilation on a rectangle has a scale factor of 4. What is the effect on the perimeter of the rectangle? The perimeter is 25% of the original. The perimeter is 25% more than the original. The perimeter is 4 times the original.

Write an equation for the line described. Simplify to one form. (Use t0 indicate sign. For example, use + for positive and - for negative.) The line passes through points (X,Y) = (J, 5) and (* Y) e (T, [)

Duwan wants to know how to show that the diagonals of a parallelogram intersect their midpoints. How would you respond?

A boat is approaching a cliff that is 50m tall. The angle of elevation from the boat is 60Â°. Find the exact distance of the boat to the base of the cliff. Include a sketch.

4. There are two lawn sprinklers spraying water in circular patterns. • The smaller sprinkler will water provide water to a circular region of the lawn with radius 6 feet. • The larger sprinkler covers a circular region of radius 12 feet. • The sprinklers have been set 9 feet from each…

For each part below, draw a precise picture of how the points are located relative to each other. Be sure to label the points. You may want to try it on scrap paper first. Point Q and R are apart. Point R is 2 cm from point Q. Clearly show and label all locations where point R could…

At a campground, located miles north of the manager's office, Jeffrey set up his tent miles from the water source and miles from the manager's office.

Find the circumference. Use 3.14 for π: r = 3ft C = [?] ft C = πd

Given that tanÎ¸ = ~0.1792, where 0Â° < Î¸ < 360Â°, determine all possible angles for Î¸. Include a diagram with your solution. Round to one decimal place.

The ratio of the amount of water in a jar to the amount of water in a bottle was 5 : 6. After 1/2 of the water in the jar was poured into the bottle, the bottle contained 850 ml of water. How much water was there in the bottle at first?

If 23200 dollars is invested at an interest rate of 7 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent (a) Annual: (b) Semiannual: $

3+2i 0 7 2 | B = c4 - i 0 - Q20) Let 44 7 2 and, find (CAYB Lo 3 2 51 I + i 17 6i 1 + 1 A) 56 - i 5 + 9i 6i I + 1 B) |-6 - i 5 - 9 6i I + 1 6 - 1 5 - 9i 6i 1 - 1 D) 5 - i 5 - 9i

3 1 b2 sec 1 constant is; 8 9 8 3 For the circuit shown below the switch has been opened long tirne andis closed att 3 9

For the figure shown below, the correct nodal equation at node (v2) is: a. 5 = v2/1 + (v-v2)/5 b. -5 = v2/2 + (v2-v1)/5 c. 5 = v2/1 + (v2-v1)/5 d. 5 = v2/1 + (v1-v2)/5

2008 U8 The Thevenin equivalent resistance seen by the voltage - 1 conaln noninverting amplifier i12 closed 8 voltage 0 dB

The equivalent inductance of the circuit given below is a. 15 H b. 3 H c. 6 H d. 8.1 H e. 5 H f. 8 H

The circuit shown below; if Vi = Vy = 0 V, and Vz = |V|, then the output voltage Vo will be Iok ViO Io1 M 2k " 0 Juk V 0 MX 0.5 61 -0.25 V ~L75 V 125 025 V

MATHEMATICS [0 Performance No- Grade & Section: Econ Mini" Find the length of the unknown segment (x) in each of the following figures 6cm 6cm 17 cm

The abbreviation CAD stands for (c) Computer Aided Drafting. AutoCAD is a software for (c) Designing and drafting. Menu bar on the AutoCAD screen contains (a) File; Edit; View, etc. Commands given in AutoCAD appear (c) At the command line.

If the profit from the sale of each Enviro mulch bin increases from $55,000 to $115,000 because of its appearance on a popular TV gardening show, how would this affect the proposed production mix for the coming month?

The following parts of the given figure are known: γ = 120° AC = 2.6 m CD = 4.2 m BD = 2.1 m a) Find the distance between the points A and D. b) Solve the angle ADC in degrees and radians. c) Determine the distance between the points A and B. Give all results with accuracy of one decimal.

Which statement correctly describes the perpendicular bisector construction below? Construction of TS to bisect QR Midpoint between point P and T. Construction of QR to bisect ST Midpoint between point Q and R. Construction of GH to bisect IK Midpoint between point I and K Midpoint between…

Q 1 (b) Write the dimension of fig 1 using aligned system , unidirectional system_ 60 20 30 40 20 40 Figure 1

If ABCD is a parallelogram such that âˆ ABD = âˆ DM = AM, where M is the point of intersection of the two diagonals of the parallelogram.

Order the sides from shortest to longest Order the sides from shortest to longest Order the angles from least to greatest Order the angles from least to greatest State if the following measures can be the sides of a triangle 12, 6, 13 State if the following measures can be the sides of a…

17. The LINE command is used to draw (a) Only one line segment (b) Two line segments (c) Any number of line segments in continuation (d) Any number of lines in discontinuation. 18. A Grip (Handle) is used to (a) Stop an object from moving (b) Lock an object so that its properties could not be…

Question 1 of 5 Fill in the blanks The altitude of the frustum of a regular rectangular pyramid is 6 m. The volume is 140 cm^3 and the upper base is 3 m by 4 m. What is the dimension of the longest side in the lower base in m? Note: Use these digits in your answer (0, 1, 7, 8). Do not use…

Which statement correctly describes the angle bisector construction shown below? Ray ZX is parallel to angle WZY. Ray ZX is perpendicular to angle WZY. Ray ZX bisects angle WZY. Ray ZX bisects segment WY. Construction of QT to bisect segment SQR. Midpoint between angle SQR. Midpoint between…

13. Snap is turned on or off using function key (a) F4 (b) F6 (c) F7 (d) F9 14. Function key F8 is used to toggle (a) Coordinate display (b) Grid display (c) Status bar (d) Ortho 15. Object snap is used to increase (a) Speed and ease of drafting (b) Speed of drawing (c) Accuracy while drafting…

Texts: Ortho, Snap, Grid, etc. are displayed on the (a) Object snap toolbar (b) View toolbar (c) Right-hand side menu (d) Status bar. 6. Text within conical brackets <> means that (a) It requires some more values (b) The value will be transferred to the next command (c) It is the last priority…

In the figure below, PU = 12, VT = 5, and WQ = 0. Which of the following is FALSE? RU = 12 0 B WV = 3 c PR = 17 0 D PP = 10 In the figure below, FE = 8, EH = 8, and HD = 18. Which of the following is FALSE? FD = BE 0 B BH = FD ER = ED 0 D BE = 24

What is the value of x in the figure below? What is the value of x in the figure below? 3x + 20 259 105" 2âˆš8 1528 Find the value of x. Using that value, what is the measurement of ZUTQ? What is the measurement of LBCD? 3r + 04 J6r + 2 6x + 2 M+ 80

Look at the isosceles triangle below. Determine which of the following angle measures are correct. Select two that apply. (7x - 34)° m∠BCA = 58° m∠BCD = 58° m∠DCB = 122° m∠BAC = 48° (4x + 2)° In the figure below, ∠RQT and ∠RST are bisected, forming isosceles triangle QRS and QTS. What is the…

Find the value of x in the figure below. 2. Corrected_text: Find the value of x in the figure below. 3. Corrected_text: Find the value of x in the figure below: 4. Corrected_text: Find the value of x in the figure below - 4 - 8. 5. Corrected_text: Find the value of x in the isosceles triangle…

Exercise 21.9 (cont) Milo City, FL 658 858 1259 ho 609 Drive 1801 Los f8 1at;l? 458 509 759 502

defines two actions based on the outcome of a condition Selection control structure All the choices Repetition control structure sequence control structure

are tiny; specialized microprocessors: Mainframe Supercomputer Embedded computers Servers

Consider the following figure: 10 m 26 m (a) Find the area of the figure: m2 (b) Find the perimeter of the figure: m

Consider the following figure. (Round your answers to one decimal place.) 7.1 in 7.1 in (a) Find the area of the figure. in^2 (b) Find the perimeter of the figure. in

Geometry Packet Lecture Two If triangle ABC is similar to triangle ADE, what is the length of DE? 8 cm statue in Grant Park is 150 feet tall. If at a certain time of day a 6-foot man standing next to the statue casts a 5-foot shadow, how long is his shadow? Basketball player A is 7 feet tall.…

Use the Shell Method to compute the volume obtained by rotating the region enclosed by the graphs as indicated, about the y-axis y = âˆš(r^2+1), y = 2 - âˆš(x^2+1), x = 9 (Use symbolic notation and fractions where needed)

MAPPNG A SHAPE ractich 2 Complete Ihe following using square MATH; 22. mzg = 23. mc9 = 24.IfTH = 4x-5 and MH = 2r +17.then MA 25. If MT = 18, Ihen AF 26.If mz3 = Zx + 7, what is x? Find Ihe measure of each of Ihe following (using parallelogram ABCD. 27 * = 3.r = B 28.y = 32 $ = 29.2 = 33 […

Mapping a Shape: Rectangular 2 Complete the following using square math: 22. mâˆ g = 23. mâˆ c = 24. If TH = 4x-5 and MH = 2r + 17, then MA = 25. If MT = 18, then AF = 26. If mâˆ 3 = 2x + 7, what is x? Find the measure of each of the following (using parallelogram ABCD): 27. âˆ A = 28.…

Atomgany mariscoures aluminum ma boxes a Ike shape di & box W1 a N3l-cyruvdkr iop: The company 'il make L225 malboves (Nus Mect ff each Mzvoox Nes Gecsibz 25 shown in the figure below; How Many square Meters of aluminum Has 6ieded ^ MZxe Once malaxes? In your calculations, use the value 3.1!…

Draw a shape that has an area of 3 square units (of your choice). Explain your answer You may embed an image (photo) of your drawing in the box below: Edit View Insert Format Tools Table 12pt Paragraph

Dund: 33. The ratio of John's weight to Peter's weight is 40 lb. Find John's weight if Peter's weight is 53 lb. Their average weight:

Corporal city construction? Integral by camint at concerning 4th % tid OJLazeBKC CELC #AEDL 1K 2 ? 41 Kc C KG BV CB Di BK A CiZZED B) _EDI DIreLI} MXBa LEFG A" 44 C2 BD 2 7 4T 0fG Bl / L Di ZMYL B0 D 26 xrlit Material (hrt Icticaee [aot Ibc triangle In such pair and control JilaARS…

3[ 21-2021 Special Parallelograms Practice Day 3 Classily each ol the lollowing stalements as always, somelimes; 0i never tue olunys Opposite sides ol @ square are conqruent ncuc_taEz Diagonak ol @ rectangle are perpendiculu luys 3 ^ parallelogram # a tectangle Asquare $ athombus rucate 5.…

If an object is described as weighing 6.20 grams, then is this the exact weight of the object? If not, what can you say about the weight of the object? Explain your answer.

Use the properties of parallelograms to find the measure of the indicated angle: 135° 45 90 180 135

Use the properties of a parallelogram to find the measure of the indicated segment. RT = 19.8. Find RP. 19.8 39.6 180

Refer to ▱ KLMN KP = MP NP LP NP

MAFS.912.G-SRT.2.4 (2 Points) What is the length of BC? 20 16 24 B

3/21/2021 Special Parallelograms Practice Day 3 Classify each of the following statements as always, sometimes, or never true: 1. Opposite sides of a square are congruent. 2. Diagonals of a rectangle are perpendicular. 3. A parallelogram is a rectangle. 4. A square is a rhombus. 5. A rhombus is…

MAFS.912.6-SRT.2.4 (3 Points) What is BD? X C X + 5 B D 12 27 Type your answer_

What is the scale factor of the dilation shown? WRITE YOUR ANSWER AS A FRACTION

If the height of the base is 10.5 yds, what is the total surface area of the pyramid below? 8 yd^2 % 3 yd^2 yd 1 3 3 yd^2

Use the properties of parallelograms to find the measure of the Indicated segment. KM = 23.4. Find YM. 0 46.8 0 11.7 180 23.4

Do these problems (legibly with a pencil or pen) on a separate piece of paper. Show formula setup and all calculations. Put a box around your final answer. Include units (miles, feet, inches, zologs, etc.) where appropriate. To Submit: Take a legible picture(s) of the page(s) with your phone…

What angles are consecutive angles to ∠4? and ∠2 ∠MPN ∠KPN ∠3 ∠1

Use the properties of a parallelogram to find the measure of the indicated angle. 809 100 20 180 80

13) Find mZEDC 3x + 14 21 IOx + 15 D - A) 740 C) 40" B) 980 D) 659 15) BS = 2x - 4 SD =x+6 Find BS

Are the diagonals of the shape perpendicular to each other? Answer yes with an analytic proof or no" with counterexample: (Either way, use coordinates_ Attach an extra page necessary:) Parallelogram Rectangle Rhombus Square

Find the total surface area of the prism or pyramid 7 m 5 m 5 m 5 m 4.3 m

1. Please examine the text provided thoroughly to identify and correct any spelling, typographical, grammatical, OCR (optical character recognition), and mathematical errors, including any errors related to the square root symbol. Ensure that the entire text is properly formatted and presented…

Find the hypotenuse of a right triangle with side lengths of 6 and 10. Round your answer to one decimal place. Your Answer: Question 12 (1 point) Use the Pythagorean theorem to calculate the diagonal of a TV is it's length is 30 inches and its width is 23 inches. Round your final answer to…

Exterior angles can be created by extending sides in either direction Suppose a,6,6, and d represent the measures of the exterior angles of quadrilateral ABCD: Use the diagram and careful reasoning to write general argument for why your conjecture in Problem 2 is true for any quadrilateral:…

Determine whether the argument is valid or invalid. All comedians are funny: Shelly is not funny. Therefore, Shelly is not a comedian.

3-Gen Quadrilateral ABCD with A(a, 0), B(t, a), C(e, b), and D(a, e). Prove that this quadrilateral is a right trapezoid.

Solve the following problems, show all of your work. For a total of 812 tickets were sold, for $19.12 per ticket and non-students paid $3.00, while students paid $2.00 per ticket. How many student tickets were sold?

e) 1) Complete the following truth table ~P Pq P Y~q PA 9 (PKa +(PA4 )

Earlier, you learned that polygon shapes of four or more sides are not rigid. They can be made rigid by adding diagonal braces. a. How could you use this idea of triangulation to find the sum of the measures of the interior angles of a pentagon? Compare your method and angle sum with others. b.…

Given that DB = 1/2 AC and B is the midpoint of AC, prove that AABD = ACBD.

In the figure shown, AC' = CE, BD = BE, and AE = DE. If âˆ LAED = 165Â°, find the measures of âˆ LAEC' and âˆ LCAB.

Determine the slope of the line shown in the illustration below. m = 72 Om = 0 Orm = -1 Dm = 1 underlined

Y-(-5) = 'I2 ( x - 2 )

Question 7 (1 point) Find the scale factor from left to right Blank 1: Question 8 (1 point) Find the scale factor from right to left Blank

Let ABC be a right triangle with âˆ C = 90Â°. Given tan B = 0.625, find tan âˆ A.

Draw a quadrilateral JKLM: Given: KL || JM, KL ≅ JM Prove: JKLM is a parallelogram (Hint: Construct diagonal JL)

21: Describe the range of possible values of x in ABC. 12 + $ - 1F (2 - 5) IY > x > +

Elements following - Complete the ABC: is an altitude, CB GF is an altitude = ZDAC: Auk__Laisufoy AB is an BG is a median of 4 bisector of segment _ IS 4 perpendicular ABC in order from smallest to largest: List the angles of 2BAC, 2ACB, 2BCA. List the sides of AXYZ in order from smallest to…

14. Find the area of the shaded region. A) B) 5 in 1 8 in 12

If ABCD is a parallelogram such that mâˆ ABD = 30Â°, show that DM = AM where M is the point of intersection of the two diagonals of the parallelogram.

ABCD is a rhombus. If the measure of angle ABD is 55 degrees and AC is 18, find each measure of BD and ED.

ABCD 1 1 If the m<ABD is 55 degrees and AC = 81, find each measure. 8 8 8! N

Question 11 Find the value of a to prove this figure is isosceles: (a? 27)9 (a" 5418

Question 11 Find the value of a to prove this figure is isosceles: (a? + 27)8 (202 54)8

In Circle O, points M and N are end points of a diameter. Draw a line segment as indicated. Name the line segment MN. a) Name all major and minor arcs. b) Name all acute central angles. c) If mâˆ LOP = 34 and mâˆ CON = 42, find mâˆ PON. d) If mâˆ LOP = 34, find mâˆ POM.

What is the length of RS?

Find the perimeter of the similar figure: 8cm 12cm Perimeter: 26cm Perimeter: Ljcm A B N M

13. Quadrilateral LUCK is inscribed in ☉S. If m∠LUC = 96 and m∠UCK = 77, find m∠ULK. A. 77 B. 84 C. 96 D. 103. 14. Mang Jose cut a circular board with a diameter 80 cm. Then, he divided the board into 20 congruent sectors. What is the area of each sector? A. 80̀π cm² B. 320π cm² C. 800π cm² D.…

LL.17. In Figure 1.7, LAC B is a right angle and CD is perpendicular to AB. Why are AABC, 4ACD, and ACBD all similar? Show that cy = a^2 and cx = b^2 and develop a proof of the Pythagorean theorem. Figure: The Pythagorean Theorem Figure 8: BEHOLD!

3. Which of the following can be lengths of triangle sides? Explain 5 m, 9 m, 18 m 6 yds, 8 yds, 13 yds 7 cm, 8 cm, 16 cm

8. Find area of shaded region: 5cm 20 Cm Area shaded

Find perimeter and area of shape: 1 cm 3 cm 20 cm A = 3 cm

Find the area of the shaded region. Area shaded =

10. Find P and A, then convert: 8+6 Zcm Scr 3o Ft 3d?

Suppose circumference of circle is 64cm. Suppose central angle QRS is 105 degrees. Find the length of arc QS (using cm). Arc QS =

5m 5 8 8 | Find area of triangle, then convert A= cm2 A =

Find the area of the shaded region: @ 149 8y shaded A =

For each figure, find the perimeter, area, and arc length. Diagram how you find the perimeter and area.

Create an equation for x. The quadrilateral is a parallelogram. 80° 11x - 10 80 = 11x - 10 80 + 11x - 10 = 180 180 = 11x - 10 180 = 80

Create an equation for X, using properties of a parallelogram. W X x + 1 U 0 14 = x + 1 0 3.5 = x + 1 Ov = X 07 = x + 1

Find the measure indicated for each parallelogram. 180 88 98 102

5. (Un Thc State Assessments 48_ (Massachusetts, Grade 4) These shapes are quadrilaterals. con These shapes are not quadrilaterals. 0 (a) Write a complete definition for a quadrilateral. Be sure to tell all the important ideas about what makes a quadrilateral. (b) This is a rhombus: A rhombus…

2 FInd the measure of angle E E 3x + 11 Sx-9 0 180 0 41 0 10 0 139

52. (Gualde 7) you Fne t0 use the two problem-dimensional In this geometric relationships of the figures, figures explain the belr# [o al (a) Explain two ways the figures shown above are different. (b) Explain one way they are the same. Show all your work or explain your reasoning for each…

Find the measure indicated for the parallelogram F E 12.6 D 0 25.2 0 6.3 12.6 0 167.4

Into the Classroom Pattern-Block Shapes Pattern blocks are particularly effective manipulatives to explore polygons and make "The Shapes of Palette DuCL MC Hollatt". Which shapes are quadrilaterals? parallelograms? rhombuses? contain an obtuse angle? regular polygons? Pattern-Block Angle The…

Determine the measures of the interior angles of this polygon: 14_ Sx 21 10_ The following equilateral nonagon (9-gon) can form spiral tiling: Find the measures of all of the interior angles. 15. Mx IIx 13x X 131 16

A B 32 - 3y + 5 Ty - 7 x + 11 D

(6a - 4)° (2a + 68)°

Solve A) and B) A) Determine the coordinates of the center and the radius of the circumference and graph it 4x2 4y2 4x 8y 11 = 0 B) Graph and determine the coordinates of the foci, the vertices, the straight side and the eccentricity of the following ellipse x2 + 2y2 2x + 8y + 5 = 0

Find GK 600 Write your answer in simplified, rationalized form Do not round: GH

Find the area of the parallelogram below. Note that it is not drawn to scale. Do not include units. 5 30° 25

(y-7)2 (X-42 Graph the hyperbola 64 36 1. Give the domain, range, center; nt? vertices, foci, and equations of the asymptotes for the figure_

Find the measure of each side indicated. Round to the nearest tenth: 13) 14) 15) 16) 10 ]

Find the measure of each side indicated. Round to the nearest tenth.

And the missing side in each triangle using any method. Check your answers using 3 different methods. The triangles are congruent. B Write a sequence of red Motone aleserrianaXYZonjDengla BCA

Problem: A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. Write a formula for the area of the fenced field in terms of the length of the field along the river (L). Problem 7: A farmer wants to fence…

Find the area of the triangle. Use the proper units.

Which of these lengths could be the sides of a triangle? 3 cm. 15 cm; 20 cm 15 cm, 4 cm; 20 cm 11 cm; 5 cm, 16 cm 5 cm; 12 cm; 16 cm

Name Fill in the reasons that justifies each step. Given: JL = 32 Prove: x = 5 Statements Reasons 1) JL = 32 2) JK + KL = JL 3) 3x - 7 + 4(x + 1) = 32 4) 3x - 7 + 4x + 4 = 32 5) 7x - 3 = 32 6) 7x = 35 7) x = 5

Kacior Ww Aw + bas 20 by grouping

6y Xg 30 10 92 + 7 102 3v + 0.5 76' 32. "8 4y- 2 33_ y30v ABC Find the values of the variables that make that are similar in the figure of triangles pairs Name three 31 42 EG "08 GD = _2 29. FD =_ '83 2` = mZEDC 27 . 50? 39p mZDGE =_ '93 "Z4bwozbJ} 042 Oxoidwoj 0} UMoy} Wibjbeip 04} e30

6.3 Exploring Similar Polygons Quadrilateral ABCD is similar to quadrilateral EFGH; find each of the following: 1) Scale factor of ABCD to EFGH? 2) EF = 3) FG = 4) GH = 5) Perimeter of ABCD? 6) Perimeter of EFGH? 7) Ratio of perimeter of ABCD to EFGH? Each pair of polygons is similar. Find the…

Measure the area of the figure shown below in each of the three nonstandard units of area shown to the right of the figure. Do so by tiling (covering) the region with the unit area shape.

Which angle number is supplementary to angle to ∠LKO?

Roll a six-sided die 60 times, and record each result. Based on the data you collect, find the experimental probability of each event. a) Rolling a 3 b) Rolling an odd number c) Rolling a number larger than 4 d) Rolling a number divisible by 3 For each category a-d above, calculate the…

Which postulate can be used to prove the triangles below are congruent? SSS SAS ASA AAS NONE

Figure ABCD is a rectangle. Find the value of x. 3x - 8 BD = 32 x = [?]

12. In a paragraph, discuss how the definition 1 - of circle is used in constructing shapes 1d (other , than circles): Include at least two examples in be your discussion. te

13. Give instructions telling Robot Rob how to move and turn so that his path is a regular octagon that has sides of length 3 meters. Draw a sketch to indicate Rob's route and explain the reasoning you use to determine Rob's angles of turning. 14. Give instructions telling Automaton Annie how…

The midpoint of AB = ([ ? ], [ ])

If m∠ACD = 100°, then m∠ECB = [ ? ]°

Dilation of triangle ABC from vertex A, and CC' = 2. Use "ABC'" as the given information in each part and find B'C'. Given AB = 9, AC = 4, and BC = 7.

Multiply: Use "theta" for Î¸ and (sin(Î¸))^2 for sin^2Î¸. (cos Î¸ + sin Î¸)^2

Find sin € , cos €, and tan € if the terminal side of € lies along the line y rationalize the denominator: 21 in QIV You do not need t0 sin 0 Preview cos 8 Previcw tan 0 Preview

Find the coordinates of midpoint E. (Enter answer in simplified form:) A(-3ab) E = ([ ?1, [ 1) Midpoint Formula: M = (4/7n, XX)

Triangles ABC and DEF are similar triangles. Solve. Round to the nearest tenth: Find the area of triangle ABC: 1187.5

AUFEXC4 7.5.019, Can an FNE cylinder | CC mean [H1 Points] DETAILS AUFEXC4 7.5.036 conader Taheiphl [1 Point] GOALS UFFXCAT50er Moon

(a) Let f(x) = âˆš(2 + 9x^2). Find f'(x). f'(x) = (b) Let f(x) = e^(âˆš(2 + 9x)). Find f''(x): f''(x) =

Compound Shapes re, round your answer to one decimal place 2) 10 in 13in 8 in Area:

Find the Fundamental Theorem of Calculus Need Help? [-1 Point] DETAILS AUFEXC4 7.5.011 Find the definite integral of a function for calculations involving given limits to exceed value and moment F = definite integral from a to b of f(x) dx Need Help? [-1 Point] DETAILS AUFEXC4 7.5.012 Find the…

AABC ADEF For each circle, variables 1 and 2 are given. They are vendsimilar = The sum measures the side angles length of the triangle. Then determine the angle of 180Â°, the side length, the angle, the side length, the angle, and the side length.

MZJGH J05' SS I0 40" A) 1409 C) 110? B) 1858 D) 1348

Find the measure of the arc Or a M) 80 126 A) 728 C) 770 B) 82" D) 548

Purts = Q and T were celebrated along the edge 0& /MGY with por Rra Iolang are pOaa4 widths the (ier; on the opposite edge. Use ARSQ and ARTQ [0 Ocierma â‚¬ Whkhcl ti

Learn the limit. lim (8 sin Î¸)| Î¸â†’0

The following proof has an error. Find the error and choose the correct replacement. Given: ┱ ABCD Prove: AC and BD bisect each other at E. Statements Reasons 1. ABCD is a parallelogram. 1. Given 2. AB || DC 2. Definition of a parallelogram 3. ∠1 ≅ ∠4; ∠2 ≅ ∠3 3. Alternate interior angles are…

31) An airplane is flying at an altitude of 6000 m over the ocean directly toward coastline. At a certain time , the angle of depression t0 the coastline from the airplane is [49. How much farther (to the nearest kilometer) does the airplane have to fly before it is directly above the…

Which rule explains why these scalene triangles are similar? SSS SAS None of the above; the triangles cannot be proven similar. Write a similarity statement. 4ST

Instructions Question 7 Find Lk = 8âˆš2k Previous

Identify the similar triangles each figure includes. Explain why they are similar and find the missing angle AB. Find AB, BC, and BN. Round each answer to the nearest tenth.

True False PS ≅ PS RS > PT ∠RPS ≅ ∠TSP

Find the remaining trigonometric functions of 0 if COS 0 and 0 terminates in QII: 25 sin @ Preview cos 0 Preview tan 0 Preview cot 0 Preview sec 0 Preview C8c 0 Preview

List Ihe sides 0l ADEF in order from shortest t0 longest, 602 DF DE

Triangle has one side of length 22 and another of length 19. Which of the following are possible lengths of the third side?

Multiply: Use "theta" for 0 and (cos(theta))^2 for cos^2(0).

Calculator Two groups hike to the same camp heading miles different directions. Group 1 travels south-east and then turns 52 degrees towards north. Group 2 travels 24 degrees from camp, starts due west, and then turns towards north. Which group is farther from camp? Group 1: Distance from…

Texts: 519 399 47 yd 5 31 yd 30 yd 31 yd 32 yd 35 yd 46 yd 47 yd 50 yd PREV 16 NET

In AABC , point D is the centroid, and BD = 4 Find BE BE

Write an equation of the perpendicular bisector of the segment with the endpoints (2,1) and (6,3). y =

AP = AP = AE AE 8

QT = SU MZRQT > m_RSU RT < RU Tuc

Find the remaining sides of a 309 60 90 triangle if the shortest side is 9. Longest side: Preview Middle side: Preview

Find JK 2.9 M JK

The mayor wants to build a new gas station, so where should the gas station be built? The gas station should be built at the same distance from the three main roads in town. At which point of concurrency should it be located? Centroid Circumcenter Incenter Orthocenter

Question 12 (1 point) Which of the following is the equation of a circle with center at (0, 0) and diameter of 22 units? Ox^2 + y^2 = 121 Ox^2 + y^2 = 484 Ox^2 + y^2 = 22 Ox^2 + y^2 = 0

Question 14 (1 point) Determine the distance bctween points J27 , 52) and K(-35, 344). 62.5 units 61.5 units 11.3 units 14.3 units

3. ~8 ft 3.7 ft 12 ft

Which of the following points, W(22,11), X(-1,0), Y(24, 7), and Z(-25,0), are the same distance from the Origin?

Algebra Find the missing angle measures. 25. (2x + 20) 2x 2x (2x + 20)

To find the length of KL, the student did the following work: K(3, -3) and L(5, -8). d = âˆš[(x2 - x1)^2 + (y2 - y1)^2] d = âˆš[(-3 - 3)^2 + (-8 - (-3))^2] d = âˆš[(-6)^2 + (-5)^2] d = âˆš[36 + 25] d = âˆš61

Given: mDe = 443Â°; Mz? = (2xâˆš9)Â°; mZ4 = MZB Prove: âˆ EDW = âˆ Ea Converse Alternate Interior Angles Postulate: If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel. Converse Alternate Exterior Angles Postulate: If two lines are…

Decide whether a triangle with side lengths of 5, 5, and 5.5 is right, acute, or obtuse. Explain your reasoning: obtuse (right) 55 = 5, right (acute) 55 < 51.

Find the values of x and y. The diagram is not drawn to scale. x = 40, y = 100; x = 30, y = 120; x = 120, y = 30; x = 45, y = 90

Given: AEFH and AGFH are right triangles. Prove: AFHAAGFH is a right triangle. Statements Reasons ---------------------------------------------- 1. AEFH and AGFH are right triangles. Given 2. âˆ ZFHE and âˆ LEHG are right angles. Definition of right…

A 6 ft man standing near the flagpole casts a 2 ft shadow. The flagpole casts a shadow 10 ft long. The flagpole is 10 ft tall.

What is the midpoint MP? Explain how you got your answer:

State which lines on the graph are parallel and which are perpendicular. Then write the equation of each line on the graph. Line 1: No lines are perpendicular. No lines are parallel. Line 2: No lines are perpendicular. No lines are parallel. Line 3: The lines are parallel. The equation of…

Question 9 (1 point) Camp Potlatch must hire a lifeguard and a nurse; plus one counselor for every 12 campers. Select the equation that best shows the relationship between the number of campers, c, and the number of staff, s.

Find the area of the shaded region. 112 square units 76 square units 96 square units 192 square units Please select the best answer from the choices provided.

Step 1: Draw a line and label it. Step 2: Draw a point that is not on the line and label it R. Step 3: Place the compass on R and open the compass wide. Strike an arc that intersects twice. Step 4: Place the compass on the left intersection of the arc and the line. Open the compass a little…

Which inequality describes the range of possible values of x? 0.5 > x 0.5 < *

Which of the following is conjunction for "A ray has only one endpoint if kangaroos can sing"? A ray has only one endpoint if and only if kangaroos can sing.

Triangle A has an area of 60 ydÂ². Triangle B has an area of 15 vdÂ². Triangle A is similar to triangle B. The perimeter of triangle A is 36 yd. The perimeter of triangle B is

In the coordinate plane, three vertices of trapezoid STUV are S(0, 0), T(le, c), and V(d, 0). If point U is halfway between points S and V, what are the coordinates of point U? The diagram is not drawn to scale.

Find the numbered angles when ∠1 = 2x - 21, ∠2 = x, and ∠3 = y. Then, classify the triangle. The diagram is not drawn to scale. a. ∠1 = 53°, ∠2 = 37°, ∠3 = 143° - right triangle b. ∠1 = 113°, ∠2 = 67°, ∠3 = 113° - obtuse triangle c. ∠1 = 25°, ∠2 = 23°, ∠3 = 157° - acute triangle d. ∠1 = 85°, ∠2…

Find the exact circumference of the circle. 12 cm 9 cm 17 cm 13 cm 26 cm

Wile parachuted from an airplane at a steady speed to capture Road Runner. Ten minutes after jumping, Wile was 400 feet up, and 20 minutes after jumping he was 600 feet up. What was Wile's speed, in feet per minute, on the way down? (tmin) How high, in feet, was Wile when he jumped? How long,…

Find the surface area of the cylinder to the nearest square inch. Height down to scale: 1,244 inÂ² 4,134 inÂ² 3,280 inÂ² 12,051 inÂ² Please select the best answer from the choices provided.

If a triangle is isosceles, then it has two congruent angles. Which statement below is the contrapositive? If a triangle does not have two congruent angles, then it is not isosceles. If a triangle has two congruent angles, then it is isosceles. If a triangle is not isosceles, then it does not…

Given 4 ABC construct equilateral triangles 4 BCD _ 4 CAE and ABC Prove that AD = BE = CF ABF outside of B

The Triangle Inequality Consider C (0,r) . a circle with center 0 and radius r Let P be any point inside of € other than the center. Draw the ray OP and let its intersection with the circle be point A Show that for any other point B on the edge of the circle PB > PA,

A dilation on a rectangle has a scale factor of 4. What is the effect on the perimeter of the rectangle? The perimeter is 25% of the original. The perimeter is 25% more than the original. The perimeter is 4 times the original.

Write an equation for the line described. Simplify to one form. (Use t0 indicate sign. For example, use + for positive and - for negative.) The line passes through points (X,Y) = (J, 5) and (* Y) e (T, [)

Duwan wants to know how to show that the diagonals of a parallelogram intersect their midpoints. How would you respond?

4. There are two lawn sprinklers spraying water in circular patterns. • The smaller sprinkler will water provide water to a circular region of the lawn with radius 6 feet. • The larger sprinkler covers a circular region of radius 12 feet. • The sprinklers have been set 9 feet from each…

For each part below, draw a precise picture of how the points are located relative to each other. Be sure to label the points. You may want to try it on scrap paper first. Point Q and R are apart. Point R is 2 cm from point Q. Clearly show and label all locations where point R could…

At a campground, located miles north of the manager's office, Jeffrey set up his tent miles from the water source and miles from the manager's office.

Find the circumference. Use 3.14 for π: r = 3ft C = [?] ft C = πd

Given that tanÎ¸ = ~0.1792, where 0Â° < Î¸ < 360Â°, determine all possible angles for Î¸. Include a diagram with your solution. Round to one decimal place.

The ratio of the amount of water in a jar to the amount of water in a bottle was 5 : 6. After 1/2 of the water in the jar was poured into the bottle, the bottle contained 850 ml of water. How much water was there in the bottle at first?

3+2i 0 7 2 | B = c4 - i 0 - Q20) Let 44 7 2 and, find (CAYB Lo 3 2 51 I + i 17 6i 1 + 1 A) 56 - i 5 + 9i 6i I + 1 B) |-6 - i 5 - 9 6i I + 1 6 - 1 5 - 9i 6i 1 - 1 D) 5 - i 5 - 9i

3 1 b2 sec 1 constant is; 8 9 8 3 For the circuit shown below the switch has been opened long tirne andis closed att 3 9

For the figure shown below, the correct nodal equation at node (v2) is: a. 5 = v2/1 + (v-v2)/5 b. -5 = v2/2 + (v2-v1)/5 c. 5 = v2/1 + (v2-v1)/5 d. 5 = v2/1 + (v1-v2)/5

2008 U8 The Thevenin equivalent resistance seen by the voltage - 1 conaln noninverting amplifier i12 closed 8 voltage 0 dB

The equivalent inductance of the circuit given below is a. 15 H b. 3 H c. 6 H d. 8.1 H e. 5 H f. 8 H

The circuit shown below; if Vi = Vy = 0 V, and Vz = |V|, then the output voltage Vo will be Iok ViO Io1 M 2k " 0 Juk V 0 MX 0.5 61 -0.25 V ~L75 V 125 025 V

MATHEMATICS [0 Performance No- Grade & Section: Econ Mini" Find the length of the unknown segment (x) in each of the following figures 6cm 6cm 17 cm

If the profit from the sale of each Enviro mulch bin increases from $55,000 to $115,000 because of its appearance on a popular TV gardening show, how would this affect the proposed production mix for the coming month?

The following parts of the given figure are known: γ = 120° AC = 2.6 m CD = 4.2 m BD = 2.1 m a) Find the distance between the points A and D. b) Solve the angle ADC in degrees and radians. c) Determine the distance between the points A and B. Give all results with accuracy of one decimal.

Which statement correctly describes the perpendicular bisector construction below? Construction of TS to bisect QR Midpoint between point P and T. Construction of QR to bisect ST Midpoint between point Q and R. Construction of GH to bisect IK Midpoint between point I and K Midpoint between…

Q 1 (b) Write the dimension of fig 1 using aligned system , unidirectional system_ 60 20 30 40 20 40 Figure 1

If ABCD is a parallelogram such that âˆ ABD = âˆ DM = AM, where M is the point of intersection of the two diagonals of the parallelogram.

Order the sides from shortest to longest Order the sides from shortest to longest Order the angles from least to greatest Order the angles from least to greatest State if the following measures can be the sides of a triangle 12, 6, 13 State if the following measures can be the sides of a…

17. The LINE command is used to draw (a) Only one line segment (b) Two line segments (c) Any number of line segments in continuation (d) Any number of lines in discontinuation. 18. A Grip (Handle) is used to (a) Stop an object from moving (b) Lock an object so that its properties could not be…

Question 1 of 5 Fill in the blanks The altitude of the frustum of a regular rectangular pyramid is 6 m. The volume is 140 cm^3 and the upper base is 3 m by 4 m. What is the dimension of the longest side in the lower base in m? Note: Use these digits in your answer (0, 1, 7, 8). Do not use…

Which statement correctly describes the angle bisector construction shown below? Ray ZX is parallel to angle WZY. Ray ZX is perpendicular to angle WZY. Ray ZX bisects angle WZY. Ray ZX bisects segment WY. Construction of QT to bisect segment SQR. Midpoint between angle SQR. Midpoint between…

13. Snap is turned on or off using function key (a) F4 (b) F6 (c) F7 (d) F9 14. Function key F8 is used to toggle (a) Coordinate display (b) Grid display (c) Status bar (d) Ortho 15. Object snap is used to increase (a) Speed and ease of drafting (b) Speed of drawing (c) Accuracy while drafting…

Texts: Ortho, Snap, Grid, etc. are displayed on the (a) Object snap toolbar (b) View toolbar (c) Right-hand side menu (d) Status bar. 6. Text within conical brackets <> means that (a) It requires some more values (b) The value will be transferred to the next command (c) It is the last priority…

In the figure below, PU = 12, VT = 5, and WQ = 0. Which of the following is FALSE? RU = 12 0 B WV = 3 c PR = 17 0 D PP = 10 In the figure below, FE = 8, EH = 8, and HD = 18. Which of the following is FALSE? FD = BE 0 B BH = FD ER = ED 0 D BE = 24

What is the value of x in the figure below? What is the value of x in the figure below? 3x + 20 259 105" 2âˆš8 1528 Find the value of x. Using that value, what is the measurement of ZUTQ? What is the measurement of LBCD? 3r + 04 J6r + 2 6x + 2 M+ 80

Look at the isosceles triangle below. Determine which of the following angle measures are correct. Select two that apply. (7x - 34)° m∠BCA = 58° m∠BCD = 58° m∠DCB = 122° m∠BAC = 48° (4x + 2)° In the figure below, ∠RQT and ∠RST are bisected, forming isosceles triangle QRS and QTS. What is the…

Find the value of x in the figure below. 2. Corrected_text: Find the value of x in the figure below. 3. Corrected_text: Find the value of x in the figure below: 4. Corrected_text: Find the value of x in the figure below - 4 - 8. 5. Corrected_text: Find the value of x in the isosceles triangle…

Exercise 21.9 (cont) Milo City, FL 658 858 1259 ho 609 Drive 1801 Los f8 1at;l? 458 509 759 502

defines two actions based on the outcome of a condition Selection control structure All the choices Repetition control structure sequence control structure

are tiny; specialized microprocessors: Mainframe Supercomputer Embedded computers Servers

Consider the following figure: 10 m 26 m (a) Find the area of the figure: m2 (b) Find the perimeter of the figure: m

Consider the following figure. (Round your answers to one decimal place.) 7.1 in 7.1 in (a) Find the area of the figure. in^2 (b) Find the perimeter of the figure. in

Geometry Packet Lecture Two If triangle ABC is similar to triangle ADE, what is the length of DE? 8 cm statue in Grant Park is 150 feet tall. If at a certain time of day a 6-foot man standing next to the statue casts a 5-foot shadow, how long is his shadow? Basketball player A is 7 feet tall.…

Use the Shell Method to compute the volume obtained by rotating the region enclosed by the graphs as indicated, about the y-axis y = âˆš(r^2+1), y = 2 - âˆš(x^2+1), x = 9 (Use symbolic notation and fractions where needed)

MAPPNG A SHAPE ractich 2 Complete Ihe following using square MATH; 22. mzg = 23. mc9 = 24.IfTH = 4x-5 and MH = 2r +17.then MA 25. If MT = 18, Ihen AF 26.If mz3 = Zx + 7, what is x? Find Ihe measure of each of Ihe following (using parallelogram ABCD. 27 * = 3.r = B 28.y = 32 $ = 29.2 = 33 […

Mapping a Shape: Rectangular 2 Complete the following using square math: 22. mâˆ g = 23. mâˆ c = 24. If TH = 4x-5 and MH = 2r + 17, then MA = 25. If MT = 18, then AF = 26. If mâˆ 3 = 2x + 7, what is x? Find the measure of each of the following (using parallelogram ABCD): 27. âˆ A = 28.…

Atomgany mariscoures aluminum ma boxes a Ike shape di & box W1 a N3l-cyruvdkr iop: The company 'il make L225 malboves (Nus Mect ff each Mzvoox Nes Gecsibz 25 shown in the figure below; How Many square Meters of aluminum Has 6ieded ^ MZxe Once malaxes? In your calculations, use the value 3.1!…

Draw a shape that has an area of 3 square units (of your choice). Explain your answer You may embed an image (photo) of your drawing in the box below: Edit View Insert Format Tools Table 12pt Paragraph

Dund: 33. The ratio of John's weight to Peter's weight is 40 lb. Find John's weight if Peter's weight is 53 lb. Their average weight:

Corporal city construction? Integral by camint at concerning 4th % tid OJLazeBKC CELC #AEDL 1K 2 ? 41 Kc C KG BV CB Di BK A CiZZED B) _EDI DIreLI} MXBa LEFG A" 44 C2 BD 2 7 4T 0fG Bl / L Di ZMYL B0 D 26 xrlit Material (hrt Icticaee [aot Ibc triangle In such pair and control JilaARS…

3[ 21-2021 Special Parallelograms Practice Day 3 Classily each ol the lollowing stalements as always, somelimes; 0i never tue olunys Opposite sides ol @ square are conqruent ncuc_taEz Diagonak ol @ rectangle are perpendiculu luys 3 ^ parallelogram # a tectangle Asquare $ athombus rucate 5.…

If an object is described as weighing 6.20 grams, then is this the exact weight of the object? If not, what can you say about the weight of the object? Explain your answer.

Use the properties of parallelograms to find the measure of the indicated angle: 135° 45 90 180 135

Use the properties of a parallelogram to find the measure of the indicated segment. RT = 19.8. Find RP. 19.8 39.6 180

Refer to ▱ KLMN KP = MP NP LP NP

MAFS.912.G-SRT.2.4 (2 Points) What is the length of BC? 20 16 24 B

3/21/2021 Special Parallelograms Practice Day 3 Classify each of the following statements as always, sometimes, or never true: 1. Opposite sides of a square are congruent. 2. Diagonals of a rectangle are perpendicular. 3. A parallelogram is a rectangle. 4. A square is a rhombus. 5. A rhombus is…

MAFS.912.6-SRT.2.4 (3 Points) What is BD? X C X + 5 B D 12 27 Type your answer_

What is the scale factor of the dilation shown? WRITE YOUR ANSWER AS A FRACTION

If the height of the base is 10.5 yds, what is the total surface area of the pyramid below? 8 yd^2 % 3 yd^2 yd 1 3 3 yd^2

Use the properties of parallelograms to find the measure of the Indicated segment. KM = 23.4. Find YM. 0 46.8 0 11.7 180 23.4

Do these problems (legibly with a pencil or pen) on a separate piece of paper. Show formula setup and all calculations. Put a box around your final answer. Include units (miles, feet, inches, zologs, etc.) where appropriate. To Submit: Take a legible picture(s) of the page(s) with your phone…

What angles are consecutive angles to ∠4? and ∠2 ∠MPN ∠KPN ∠3 ∠1

Use the properties of a parallelogram to find the measure of the indicated angle. 809 100 20 180 80

13) Find mZEDC 3x + 14 21 IOx + 15 D - A) 740 C) 40" B) 980 D) 659 15) BS = 2x - 4 SD =x+6 Find BS

Are the diagonals of the shape perpendicular to each other? Answer yes with an analytic proof or no" with counterexample: (Either way, use coordinates_ Attach an extra page necessary:) Parallelogram Rectangle Rhombus Square

Find the total surface area of the prism or pyramid 7 m 5 m 5 m 5 m 4.3 m

1. Please examine the text provided thoroughly to identify and correct any spelling, typographical, grammatical, OCR (optical character recognition), and mathematical errors, including any errors related to the square root symbol. Ensure that the entire text is properly formatted and presented…

Find the hypotenuse of a right triangle with side lengths of 6 and 10. Round your answer to one decimal place. Your Answer: Question 12 (1 point) Use the Pythagorean theorem to calculate the diagonal of a TV is it's length is 30 inches and its width is 23 inches. Round your final answer to…

Exterior angles can be created by extending sides in either direction Suppose a,6,6, and d represent the measures of the exterior angles of quadrilateral ABCD: Use the diagram and careful reasoning to write general argument for why your conjecture in Problem 2 is true for any quadrilateral:…

Determine whether the argument is valid or invalid. All comedians are funny: Shelly is not funny. Therefore, Shelly is not a comedian.

3-Gen Quadrilateral ABCD with A(a, 0), B(t, a), C(e, b), and D(a, e). Prove that this quadrilateral is a right trapezoid.

Solve the following problems, show all of your work. For a total of 812 tickets were sold, for $19.12 per ticket and non-students paid $3.00, while students paid $2.00 per ticket. How many student tickets were sold?

e) 1) Complete the following truth table ~P Pq P Y~q PA 9 (PKa +(PA4 )

Earlier, you learned that polygon shapes of four or more sides are not rigid. They can be made rigid by adding diagonal braces. a. How could you use this idea of triangulation to find the sum of the measures of the interior angles of a pentagon? Compare your method and angle sum with others. b.…

Given that DB = 1/2 AC and B is the midpoint of AC, prove that AABD = ACBD.

Determine the slope of the line shown in the illustration below. m = 72 Om = 0 Orm = -1 Dm = 1 underlined

Y-(-5) = 'I2 ( x - 2 )

Question 7 (1 point) Find the scale factor from left to right Blank 1: Question 8 (1 point) Find the scale factor from right to left Blank

Let ABC be a right triangle with âˆ C = 90Â°. Given tan B = 0.625, find tan âˆ A.

Draw a quadrilateral JKLM: Given: KL || JM, KL ≅ JM Prove: JKLM is a parallelogram (Hint: Construct diagonal JL)

21: Describe the range of possible values of x in ABC. 12 + $ - 1F (2 - 5) IY > x > +

Elements following - Complete the ABC: is an altitude, CB GF is an altitude = ZDAC: Auk__Laisufoy AB is an BG is a median of 4 bisector of segment _ IS 4 perpendicular ABC in order from smallest to largest: List the angles of 2BAC, 2ACB, 2BCA. List the sides of AXYZ in order from smallest to…

14. Find the area of the shaded region. A) B) 5 in 1 8 in 12

If ABCD is a parallelogram such that mâˆ ABD = 30Â°, show that DM = AM where M is the point of intersection of the two diagonals of the parallelogram.

ABCD is a rhombus. If the measure of angle ABD is 55 degrees and AC is 18, find each measure of BD and ED.

ABCD 1 1 If the m<ABD is 55 degrees and AC = 81, find each measure. 8 8 8! N

Question 11 Find the value of a to prove this figure is isosceles: (a? 27)9 (a" 5418

Question 11 Find the value of a to prove this figure is isosceles: (a? + 27)8 (202 54)8

In Circle O, points M and N are end points of a diameter. Draw a line segment as indicated. Name the line segment MN. a) Name all major and minor arcs. b) Name all acute central angles. c) If mâˆ LOP = 34 and mâˆ CON = 42, find mâˆ PON. d) If mâˆ LOP = 34, find mâˆ POM.

What is the length of RS?

Find the perimeter of the similar figure: 8cm 12cm Perimeter: 26cm Perimeter: Ljcm A B N M

13. Quadrilateral LUCK is inscribed in ☉S. If m∠LUC = 96 and m∠UCK = 77, find m∠ULK. A. 77 B. 84 C. 96 D. 103. 14. Mang Jose cut a circular board with a diameter 80 cm. Then, he divided the board into 20 congruent sectors. What is the area of each sector? A. 80̀π cm² B. 320π cm² C. 800π cm² D.…

LL.17. In Figure 1.7, LAC B is a right angle and CD is perpendicular to AB. Why are AABC, 4ACD, and ACBD all similar? Show that cy = a^2 and cx = b^2 and develop a proof of the Pythagorean theorem. Figure: The Pythagorean Theorem Figure 8: BEHOLD!

3. Which of the following can be lengths of triangle sides? Explain 5 m, 9 m, 18 m 6 yds, 8 yds, 13 yds 7 cm, 8 cm, 16 cm

8. Find area of shaded region: 5cm 20 Cm Area shaded

Find perimeter and area of shape: 1 cm 3 cm 20 cm A = 3 cm

Find the area of the shaded region. Area shaded =

10. Find P and A, then convert: 8+6 Zcm Scr 3o Ft 3d?

Suppose circumference of circle is 64cm. Suppose central angle QRS is 105 degrees. Find the length of arc QS (using cm). Arc QS =

5m 5 8 8 | Find area of triangle, then convert A= cm2 A =

For each figure, find the perimeter, area, and arc length. Diagram how you find the perimeter and area.

Create an equation for x. The quadrilateral is a parallelogram. 80° 11x - 10 80 = 11x - 10 80 + 11x - 10 = 180 180 = 11x - 10 180 = 80

Create an equation for X, using properties of a parallelogram. W X x + 1 U 0 14 = x + 1 0 3.5 = x + 1 Ov = X 07 = x + 1

Find the measure indicated for each parallelogram. 180 88 98 102

5. (Un Thc State Assessments 48_ (Massachusetts, Grade 4) These shapes are quadrilaterals. con These shapes are not quadrilaterals. 0 (a) Write a complete definition for a quadrilateral. Be sure to tell all the important ideas about what makes a quadrilateral. (b) This is a rhombus: A rhombus…

2 FInd the measure of angle E E 3x + 11 Sx-9 0 180 0 41 0 10 0 139

52. (Gualde 7) you Fne t0 use the two problem-dimensional In this geometric relationships of the figures, figures explain the belr# [o al (a) Explain two ways the figures shown above are different. (b) Explain one way they are the same. Show all your work or explain your reasoning for each…

Find the measure indicated for the parallelogram F E 12.6 D 0 25.2 0 6.3 12.6 0 167.4

Into the Classroom Pattern-Block Shapes Pattern blocks are particularly effective manipulatives to explore polygons and make "The Shapes of Palette DuCL MC Hollatt". Which shapes are quadrilaterals? parallelograms? rhombuses? contain an obtuse angle? regular polygons? Pattern-Block Angle The…

A B 32 - 3y + 5 Ty - 7 x + 11 D

(6a - 4)° (2a + 68)°

1 ... 22 23 24 25 26 ... 34