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Geometry Q&A Archive of September 8, 2021

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September 8 of 2021

Jessica wants to enlarge a photo with dimensions 8 by 24 inches. What is the perimeter of the photo?

A roofer said he charges $5 per square foot of roof that he replaces. To the nearest hundred dollars, how much can Jeff expect to pay the roofer to replace the roof on his house? (Hint: Remember only the lateral faces of the pyramid would need to be replaced). $1,800 $3,300 $5,400 $9,900

20. Find ( ( 8 RV 'hat 2 the measure 0 4p of each 70 1 4" + 5/0 angle: (+25 2 2

Fencing How much fencing is required to enclose a circular garden whose radius is 28 m? Use 3.14 for π. About m of fencing is required to enclose the circular garden. (Type an integer or decimal rounded to the nearest hundredth as needed.)

15 18 8L OE 1 2 44 0 3 06. 2 3 4 "HO 1 4 01. 4 'C0 1

The text illustrated in the figure shows the night (both ends) and approximately how much material is needed to make the bottom should be included)? The approximate amount of material needed to make the tent is Do not round until the final answer. Then round to the nearest hundredth as needed)…

If DM = 25, what is the value of r? 45 - 28 10 12 8 14 15

Find the area of the geometric figure. Side 2yd, Side 2yd, Side 2yd, Side 0A 80 sq yd, Side B 65 sq yd, Side C 150 sq yd, Side D 60 sq yd.

Strange geometry results pop up all over the place, and you can find them almost absentmindedly. For example, suppose you were bored with remote education (unthinkable). You might draw rectangle ABCD and mindlessly draw two equilateral triangles AQAB and 4PAD on the sides of your rectangle. You…

3. (20 pts) (a) Given is any triangle, where one exterior angle is created at each vertex. Calculate the sum of the measures of these three exterior angles. [Note: don't just draw an equilateral triangle. Your proof should work for ANY triangle.] [Hint: angle chase.] (b) Just like the interior…

Identify the corresponding parts (angles and sides) 6. 8 MacBook Pro 20 888

In the accompanying diagram, parallel lines AB and CD are intersected by transversal EF at points X and Y. The measure of angle FYD is 123. Find the measure of angle AXY.

MacBook Pro; 30Â° 088Â°

In the diagram below, FAD, EHC, ABH, and BC are drawn. If m∠FAB = 48° and m∠ECB = 18°, what is m∠ABC?

triangle: 1 right 2 possible True 0 False 2 0

congruent: are angles Vertical True 1 0

1 1 1 uc 1458 1208 8 3

All statements about bases and heights in a triangle and parallelogram are only a horizontal side and a triangle / parallelogram can be a base and obtuse angles because I can't tell which side should be which. The names "length" and "width" don't work for a acute triangle. A height can be drawn…

Tcncd Output oncon Jal Oru 3.4 Applied Optimization (Preview) OPEN} Solve this equation for y in terms of I. Find: formula for the volume V(z) in terms of z. V(c) What is the domain of the function V? Note that both z and y must be positive; consider how the constraint that girth plus length…

Given: Circle 0 with diameter AC, 0 as the center; and B, point on the circle but different from points A and € Describe angle ABC Prove: Prove your conjecture_

Determine if the pattern illustrates Geometric Sequence or not: 5,10,20,40,80, 3,6,9,12,15, 1/8,%, Yz, 1,2, 1,3,9,27,81, 10,9,8,7,6,

State whether each of the following sequences is geometric or not.

Use the isosceles triangular prism below to answer parts (a)-(b). (a) (4 points) The base of the triangular prism is an isosceles triangle. The height of the triangle is 2√3 cm. Use facts of the 30° - 60° - 90° triangle to find the lengths of the triangular base. (b) (5 points) Find the…

Certain company manufactures tin cans with covers at the top and bottom. They received an order of 10,000 tin cans with a height of inches and a diameter of inches. If 10 square inches are allowed for waste and seams for each tin can, (a) how many square inches and (b) how many square feet of…

Obtain the cubic spline approximation for the following data (0.75 marks) y = f(x) 29 Hence interpolate at x = 15

(a) Consider the parabola y = -2x^2 + 4x + 6. Which of the four figures below best represents the parabola? You must provide an explanation to support your choice (3 marks). Find the maximum or the minimum value of y. (2 marks) Fig: A Fig: B Fig: C Fig: D

Perpendiculars Math Assignment Level: 1029 Boxing Name Lesson Number: 18 Directions: Complete the following constructions. Leave all construction aids on your paper. Construct a perpendicular to line t through point B. Construct a perpendicular at point A and at point B (Hint: Extend AB).…

Emily drew quadrilateral ABCD and its image A'B' C D' in the coordinate plane Draw a 180* rotation and a 90" clockwise rotation quadrilateral ABCD around the origin

Suppose the reasons clearly. 8 J1EJ$ Isn't no A and EG is perpendicular AEF CD FEG and is parallel to '34) 8v angles find (b) In the figure below 1

flr) = (r-1)2(r+1} g+) = x-1)2/.+1)

A diagonal of a rhombus bisects two angles of the rhombus_ In other words the diagonals of a rhombus are angle bisectors

Given (xy)_(x+3,y-2), you are moving the 'given preimage'.

24. Identify the scale factor used to graph the image below: k=

Given XZ = ZW, YZ = ZV, Prove ∠X = ∠W

22. Graph the image of the parallelogram below using a scale factor of k = 2/5. E' (___, ___) F' (___, ___) G' (___, ___) H' (___, ___)

14. 0 Line D Point 0 Rotational 0 None 161 0 Line 0 Point 0 Rotational 0 None

Triangle BCD with vertices B(4, 4), C(8, 14), and D(12, 0): k = 1/4 B' ( , ) C' ( , ) D' ( , )

5. Paper Folding Take a rectangular piece of paper and fold so one pair of opposite corners coincide: You should have a fold line if you unfold it: Name the endpoints of the fold segment AB_ Fold A onto B A,B Unfold and look at the crease lines. Why is every point of segment AB equidistant from…

3. Find the missing sides of the similar triangles 12 ft 13 ft 5 ft E 5 ft y ft Xft

If the equation line Equation I:y = 4x + 82 intersects the x-axis at x = -10, find the missing value below:

3. Below, in column 1, you will see a quadrilateral name and picture. Draw the diagonal(s). In column two, explain why the given relationship is true. Use congruent and/or similar triangles in your explanation. In column 1, name the vertices and color the triangles that you will use in your…

Rectangle MNOP with vertices M(-7, 22), N(-5,-1), O(-2, -7), and P(-4, -8): 908 M' ( ) NGES 0 G Hd

24.3 Given acute angled AABC, extend the altitudes from and to meet the circumcircle at points X, Y, and Z, respectively: Show that lines AX, BY and CZ bisect the three angles of AXYZ.

Consider the parabola y = 2x^2 + 4x + 6. Which of the four figures below best represents the parabola? You must provide an explanation to support your choice (3 marks). Find the maximum or the value of y (2 marks). Fig: A Fig B Fig C Fig D

Trapezoid JKLM with vertices J(-6, 6), K(-3, 7), L(-1, 3), and M(-8, 0): (x, y) → (x + 7, y - 3)

Parallelogram CDEF has vertices C(3, 2), D(8, 4), E(6, 3), and F(L, -5). Its image has vertices C'(6, 6), D'(-1, 8), E(-3, 1), and F(-8, -1). Write a rule to represent this translation: Rule:

Square RSTU with vertices R(-2, 1), S(3, 4), T(6, -1), and U(1, -4): (x, y) → (x - 4, y - 1) R'( S'( T'( U'(

4. ABCD is a rectangle, A is the center of the circle, and BD = 10 in. Find the radius of the circle. Explain your answer.

Arectangular tank, 10 cm long and 6 cm wide contained water cm deep. After some small stones were placed in the tank; the water level rose to cm What was the total volume of the stones? (cI I0 cm

Rectangle The diagonals are congruent Rhombus The diagonals are perpendicular bisectors

Rhombus PQRS with vertices P(-8, 6), Q(-4, 8) , R(O, 6), and S(-4, 4): in the line y = 2 P'6 MD) Q" ~ R' ( Sh G

Triangle GHI with vertices G(4, 1), H(5, 4), and I(2, -8) lies on the line y = x.

GEOUZFY Br__ DAVON GAINER Transformations Name: Date: Bell: Directions: Graph and label each figure and its image coordinates: 14 Triangle ABC with vertices A(-3, 2), B(-1,7) and C(6, 1): in the x-axis 4() B'(-3) cLL_

If the check vector is given by c = [1,1,1,1,1], find the correct check digit d to append to the vector [2,6,2,4] in Z to obtain a valid code vector. You are being asked to compute the check digit. Your answer should be a number between 0 and 9.

Directions: Identify each pair of angles as adjacent, vertical, and/or as a linear pair: (1 pt) 1. L and 41 - adjacent 2. L and 45 - adjacent 3. L1 and 26 - adjacent 4. L3 and 42 - adjacent Directions: Use the figure below to answer the following questions: (2 pt) 1. Name a pair of adjacent…

Let M be the centroid of AABC and A' be the midpoint of [BC]: What is the ratio A4 AM A. 2; 2 C. 1; D

12) 1 11)v= 10) Y Mss Ac 5 Without graphing; Sturgis the question 228 the- 2 3 V gray 1 whether the 0 her sauii of fabric parallel? nieces are The parallel P? Etetatfo perpendicular, 3 block shown neither. at the right: If m<1 8 and m<2

Question 61 Which of the following statements regarding the line included in the given diagram are correct? The diagram includes two identical triangles, triangle ABC and triangle ABD. Are ADH and ACB parallel? And what is the diameter?

Reflect across the x-axis then reflect across the y-axis then translate 4 units right. Reflect across the line x = 2 then reflect across the x-axis Reflect across the y-axis then translate 4 units right. Rotate 180° around the origin then translate 4 units right Rotate 180° around the point (2,…

2 of me - of tive Give a Teacher's Solution to the following problem. The figure is a regular pentagon. Find in order; angles a and b, angle angle d, and angle e. Conclude that c = d = e,s0 the top interior angle is trisected. Do pa bo

OzD - A 4B - 4, 2C - 4F AB = DE and BC There is a sequence of rigid motions that maps point A onto point D, AB onto DE; and B onto F. There is a sequence of rigid motions that maps AB onto DE, BC onto EF, and AC onto DF.

8, Find the measure o1 x emd

For a population with a normal distribution with a mean of 24 and a standard deviation, about 68% of the population lies between what limits? About 95% of the population lies between what limits? About 99.7% of the population lies between what limits? Determine the following: (a) About 68% of…

The statement "If two angles share the same vertex, then they must be either vertical angles or adjacent angles" is FALSE. Use the diagram below to fill in the sentence with the correct angles, complete the counterexample, and share the same vertex but are not vertical angles and are not…

Find the value of x that makes m || n 1508 (3x 15)"

=X (8 14 + 3x 8

AA' BB" CC"' AABC can be rotated 180Â° about the origin to map onto AA"B"C AABC can be translated 4 units to map onto AA"B"C" AABC = AA"B"C

Write a 2-column proof. (5 points) Given: E is the midpoint of DF, CD = FG Prove: CE = EG

2 Let M be the centroid of AABC and A' be the midpoint of [BC]: What is the ratio MW AV 2 A 1; B 2; C 2 D. 3

Let I be the incenter of a triangle ABC. If âˆ KABC = 7Â°, find âˆ KAIC.

Owr = 22 XWX T XY || Xw' 0 XY || XY rX ITT acaoolPro 20 888

Let M be the centroid of AABC and A' be the midpoint of [BC] What is the ratio 4 A: 2 B1; C %

Which statement is true? mzD = 289 mzA = 438 mACD = 719 mBCE = 1098 MacBook Pro 30, 888 $ %

8. Let AABC be a nondegenerate triangle. Assume that the external bisector at the vertex intersects the side [BC] at the point D. Prove that AB DB AC DC Hint: this exercise was in the homework.

MATIZZ Practice with Coordinate (Introduction) Graph right triangle ARC with vertices A (4, B (7, J, and C (Lahlech, crlet. Determine the lengths of the two sides of the triangle. Determine the length of the hypotenuse of the triangle. Find the area of the triangle. Find the perimeter of the…

In how many ways could members of the following club line up all 5 members for a photograph? (Simplify your answer)

Find the value of x that makes m || n m n (180 - x)° x = x°

Let H be the orthocenter of a triangle ABC. If âˆ LABC = x, find all possible values for âˆ LAHC.

Find the equation of the line through and perpendicular to the following equations a.Y= 5x+5 The equation of the line is (Use integers or fractions for any numbers in the equation ) b.Y = Sx + 1 The equation of the line (Use integers or fractions for any numbers in the equation ) c.X= -7 The…

6. A polygon has m sides. If one of its interior angles is 80 degrees and the other interior angles are each equal to 160 degrees, find the value of m.

Part A What is mLADC? Part B What is mLBCD?

(There are E Mountain Lara patatin Li D- mam and Fenkaa D LarAeen Fan LrD)

Find the equation of the line through and perpendicular to the following equations a.Y= 5x+5 The equation of the line is (Use integers or fractions for any numbers in the equation ) b.Y = Sx + 1 The equation of the line (Use integers or fractions for any numbers in the equation ) c.X= -7 The…

Find the equation of the line through 2,9) and perpendicular to the following equations The equation of the line is (Use integers or fractions for any numbers in the equation ) b.y= - 4x+3 The equation of the line is (Use integers or fractions for any numbers in the equation: c.X= The equation…

Prove: Given: Write X = 27, CABC = LCBD; 2-column 04 and; II (6 LCBD = L ~ 5

RrlDso uJ? 774537jC OROF` RESOURCES daaoerePurU COURSES 1.4 Show what you know: Measuring Angles ARGF M6t 4 MAGGr ATIGE couainn "Jchasctani 0uC*07 Vhat nevaln Dl? Draloxi ~Support Schoolott nlog

9. Find the length of thc missing leg must include all formulas) Determine the area 10 in. 8 in_

8! H1 Homework: 1 {Section +1) âˆš2 3 6 1 Homework 9 this pattern 1 complete) Pythagorean triple generated MH1 Score:

15. The measure of angle ZP is five less than four times the measure of angle ZQ. If angles ZP and ZQ are supplementary angles, find mZP. In the diagram below, angle ZAFB is equal to angle ZEFD. If mZEFD = (Sx + 6) and mZDFC = (19x - 15), and mZEFC = (17x - 19), find mZAFE. 17. If SV = RT,…

Find the perimeter of a square with diagonal 4âˆš2.

Write a 2-column proof: (5 points) Given: LTEV = LXEW Prove: LTEW = LXEV

ImLSKL and mZJKS, what is the measure of LJKL? FK degrees: Suppont Schoo Fu=

5.1 Dilation and the Fundamental Theorem of Similarity (FTS) Prove or disprove: For any quadrilateral ABCD, if |ABLI BCI | CDLI DAI, then ABCD is a parallelogram. For any quadrilateral ABCD, if ABCD is a parallelogram, then IABLI BCI CDLI IDAL.

Write a 2 _ column proof: (6 points) Given: diagram JW, Prove: Lw= Ly + Lz

If mLABD = 5, then what is mLACB?

The endpoints of a diameter in a circle form an angle with point C. What is the measure of âˆ ZBCD? 180Â°

13. Using a compass, construct a median from angle A to side BC.

What is the measure of ∠B?

Find an equation for the ellipse whose vertices are at (-2, 7) and (2, 51), and focus is at (2, 31). Graph the equation. The equation of the ellipse is L = t. Choose the correct graph below.

Given: Parallelogram ABCD, with diagonals XC and BD Prove: ABEC = ADEA PROOF: Statements:

The area of the shaded square is 25 sq. cm.

Square ABCD is inscribed in circle O. What is true of the diagonal of ABCD? It is twice the length of one side of square ABCD. It is half the length of the diameter of circle O. It passes through the center of circle O. It is twice the length of the diameter of circle O.

Use the finite element software FEHT to calculate the temperature distribution in the walls of a two-dimensional furnace shown below. The furnace is at 1000Â°F and the convective heat transfer coefficient inside and outside of the furnace are 50 and 20 Btft? Fhr respectively. Also, calculate…

9.3.35 In the diagram shown to the right, there are two similar triangles. Find the unknown measurement. c = (Simplify your answer.)

Find the volume of a sphere with a diameter of 9 feet. Round your answer to the nearest tenth. A 81 ft3 B 243.7 ft3 C 301.8 ft3 D 381.7 ft3

Before: 37 of 1 pt Find (Type 1 Wnandn L sumpllled fraction ) 1 1 19 of 29 compteia 4 1 Quastat

TRUE FALSE: Every rhombus square TRUE ~OR~ FALSE: The segment that joins the midpoints of two sides is parallel to the third side. TRUE FALSE: Consecutive angles of a trapezoid are congruent. TRUE FALSE: The diagonals of a rectangle bisect the vertex angles. TRUE ~OR~ FALSE: The corresponding…

Answer the question by creating 3 perpendicular bisectors. Please explain another way of creating.

Enter your ideal answer "use the statement to determine the angle and substantiate your statement with evidence.

Answer the question by creating 3 perpendicular bisectors. Please explain another way of creating.

E DOK1 (1-2) Identify opposite angles, transfer angles, the angles determine angles cutting, used, route 5, toes, sum, parafethe lines, inside angles equal 180 degrees caused.

12.4 cm 13 cm 14 ft 12.5 cm 6 ft 14 cm 3 yd 3 yd 6 ft Surface Area Surface Area Surface Area:

Sketch and write the mathematical expression of the Fourier transform of the train function impulse S(t) = 2Î´(t - mTo) cos(2Ï€f0t) Figure Problem 2-4 G(f) is the spectrum of the signal g(t) Sketch the spectrum of the ideally sampled version of the signal

Q2: An incompressible velocity field is given by u = (4xy)i + (x - 2y^2)j. a) Show that this flow satisfies conservation of mass. b) Determine if this flow is irrotational or not.

Definitions: Parallelogram: A quadrilateral with 2 pairs of parallel sides. Rectangle: A parallelogram with a right angle. Rhombus: A parallelogram with a pair of adjacent congruent sides. Square: A rectangle with a pair of adjacent congruent sides. Kite: A quadrilateral with two disjoint…

Are triangles DEF and LNM similar if DF = 8 and LM = 4?

d %i = 3 + 318 221+02+2 = 7811 + Bzs + #8 = 10 e 21+33 = 120+23 = 1l Tc + I3 = 13

Calculate the moment produced by each force about point 0. Provide answers with units of kilonewton-meter (kNm) with moments acting counterclockwise as positive. Note: Force vectors are not drawn to scale. They are drawn only to show direction. A = 50 kN B = 120 kN C = -37 kN D = 269 kN E = 81…

Calculate the X and Y components of the angled 90kN force and calculate the reactions for the following structure: 30kN 1.0 m 2.0 m 1.0 m 90kN 2.5 m 2.0 m 4.5 m

What is the center of the circle with equation (x - 5)^2 + (y + 3)^2 = 16? (-5,3) None of these. What is the radius of the circle with equation (x - 5)^2 + (y + 3)^7 = 16? 256 None of these. Express the circle given by the equation x^2 + y^2 - 4x + 6y + 9 = 0 in standard form. 2) 2) 3) None of…

Find the volume of the figure. Express the answer in terms of π and then round to the nearest whole number. 12 ft 13 ft

[0.48 Points] Need Help? DETAILS AUFEXC4 7.5.007.Mi; Q/100 Submissions Used 1 Calculation 1 1

4BC?2 fDe CFdcfo

Use the given information to prove that RS is not parallel to VT. You are not allowed to use the Transitive Property for parallel lines. (You may use the Transitive Property for perpendicular lines though.) Given: RQ || SU Prove: IRS || VT Statement Reason 1. RQ || SU Given 2. IRS || RQ…

Bill draws a regular octagon with a perimeter of 32 units. He picks a vertex of the octagon and draws two line segments through the interior of the octagon, each to a different vertex so that his link segments divide the octagon into three quadrilaterals What does the shape look like? What are…

Find the formula for a complex function which reflects points in the complex plane.

Should Jq Determine athct, 4 angle NO DEchcre % +2i. APPROXIMATIONS and Vi # Your answer.

17 + 1 = 18. The following decimal points express approximations. Cartesian form is used to plot the answers on a Cartesian plot.

Use the given information to prove that r || t. You are not allowed to use the Transitive Property for parallel lines. (You may use the Transitive Property for "=" or "≅", though.) Given: s || t ∠6 ≅ ∠2 Prove: r || t Statement Reason

Imagine two types of cars (heavy) and (light). The costs of producing each type vary emissions C(Xh, 9) and C(Xl, 9) respectively. The environmental damages are given by: 4X(ea Xh - KneTe emissions regulation. We assume d=18=4>1. Consumers derive utility from consuming Xh units of type H and X…

Given: WY = XZ Prove: WX = YZ 3m 14m X 3m 14m Activity Ques. Zc X 14m m Statement Reasons 1. 2. 3. 4.

Actions Activity Ques 1c Zm 11m R Q 11m ( ) m R S Reasons_ Given: PQ = RS Prove: PR = SQ 7m 11 m (z) m Statement 1, 2, 3

9.2.45 Use the diagram below to find the measure of exterior angle N in triangle BCD. Homework 19 of 24 (18 complete) The measure of exterior angle BCD is 107 degrees. MH Scc

What is the colorfulness or the perceived intensity of a specific color? Time Action Color hierarchy: Value. Saturation: Neutral:

Given quadrilateral MNPQ Move the point M to the midpoint of line PQ Construct the perpendicular bisector of line MN Find the area of quadrilateral MNRQ Find the sum of angles DP6 Take the union of cycles QMA and Areu Find the perpendicular bisector of line QM Find…

Determine the area of the shaded region in Figure 12.57. Explain your reasoning.

36. PQRS is an isosceles trapezoid. If ZTRS = 1009Â° and LT = 359Â°, and PS = TS, find the measures of the numbered angles: XP = 5 in, YZ

11. If ADEF = AJKL, find KL. 12. If APQR = ATSR, find SR. 2x - 6r + 3 4x - 26

If AKLJ ~ AVWU, find the value of x: 25 2r + 2 4x - 23 W 20 10. If ANML ASRL, find the value of x. 28 24 X + 3r - 1

In the diagram below, mZHEF = 136Â°. Find the measures of the angles of AEFG and mark them on the diagram. Then, list the measures of the sides of the triangle (e, $, 8) in order from shortest to longest:

Find the volume of the rectangular based pyramid (MUST include formula round t0 the nearest tenth ) Volume 4.8 m

3. Two parallel lines are intersected by transversal. Find the measure of each of the angles; given Angle 6 = 64" angle [ = angle 2 = angle 3 = angle 4 = angle 5 = angle angle 8 =

Write an algebraic expression to find the measures of the angles described: are Complimentary If one angle is 280 greater than the other, find the (WO Two angles angles 1" angle: 2nd angle: Two angles are supplementary: one angle 569 less than the other, find the two angles 1" angle: 2nd…

Construct two congruent segments that are perpendicular bisectors of each other. Form a quadrilateral by connecting the four endpoints. What type of quadrilateral does this seem to be? Use a ruler to make the congruent segments and look for all kinds of construction marks on this one; it's…

Find the length of the curve r(t) = <3cos(3t), 3sin(3t), t> for -1 < t < 1. Then, reparametrize r(t) so that ||r'(t)|| = 1.

10. rectangular kitchen is 27 feet long and 21 feet wide; [ trim costs SIS per Yard; how much does it cost to put trim around the kitchen? must include formula Cost

house, is 15 feet from the house: How far up the house The base of # 20-foot ladder leaning against = hint: what type of triangle does it form? does the Ladder reach?? round to the nearest tenth

Find a line that lies entirely in the set defined by the equation x^2 + y^2 - z^2 = 1.

Find the volume of a beverage can that has a height of 7.1 in. and a radius of 1.3 in. Use 3.14 as an approximation for π. The volume of the can is (Type an integer or a decimal rounded to the nearest hundredth as needed.)

Text 1 of 4: Calculus II A1-1 Assignment 1 (100 marks total) Note: Give exact answers where possible (for example, Ï€ is exact but 3.142 is approximate) [8 marks] The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the…

Mobius Transformations: Theory 9 Let T and S be Mobius transformations. Prove that |TS| = |T||S|, where |T| is the determinant of the transformation T.

Prove that a MÃ¶bius transformation with a single fixed point at 0 is a translation:

Let P and Q be diametrically opposite points on the unit sphere, a^2 + b^2 + c^2 = 1. Let z and w be the stereographic projections of these points in the complex plane. Show that zw = -1.

Is this an equation of a conic section? Support your answer. 64x^2 + 25y^2 = 1600

Mike is placing a sidewalk around his pool. Find the area of the sidewalk. Rosie is planting a garden with the dimensions shown below. She wants to cover the entire surface of the garden with a layer of mulch. The mulch costs $3 per square foot. How much money will she have to spend on mulch?

Example Step by Step Use the distant and Information Given to select the correct classification for each angle pair: GreMLAFD maEFD Points and points E collinear Drudand drone Luch EJlr olunaitinio Ine collect Clcgon Vertical angle Mn e46 parallel angle orientation ( Indicate whether (nc puu…

8 2 ? What For parts are lu| AABC = ABCA HH ABAC all possible and b select 2 all that congruence true congruence apply correspondences correspondences between rectangle between an equilateral ABCD triangle ABC Select Itself? that apply: Select that apply:

of L13_ L12, and Ly 8. Find the measures 26 40" _ all the numbered angles given

Question 16.7 pts Find the valucs of X Yand z In the (ollowing circles: 1058 958 1402 1x3

Find the values of X, Y, and Z in the following circles: S0 100" S1X =

The following proof shows that the arcs bisect the circumference of a circle.

1 4 t 8 8 3 8 & 1 Faz 1 4 <w 741 #t 1} * 2 1

Callisto 792041. mnc Ok In the figure above, how should the semi-major axis and period P be adjusted in order that the white curve matches the observed plot of the distance of Callisto from Jupiter versus time (the blue dashed curve)? Increase and increase Increase and decrease Decrease and…

Points P,Q,R,S are taken on sides AB,BC,CD,DA of square ABCD SO that AP PB = BQ : QC = CR RD = DS SA _ Prove that PQRS is & square:

Problem: Consider triangle ABC and construct equilateral triangles AABD, ABCE, and AACF outside of it. Prove that AE = BF = CD. Problem: In neutral (absolute) geometry, consider triangle ABC and a line such that A, B, and C are on the line. Prove that the line cannot intersect all three sides…

If AB || CD, find the size of the following angles in Figure 24-22: âˆ LBAC and âˆ LACB. Explain your answers. 113 Ã— 18 192365 FIGURE 24-22 POLYGON INTERIOR AND EXTERIOR ANGLES 1 1 1

4. Find the measure of the indicated angle: 31Â° 758Â° Kouf's answer

A& = Ac AD = DE = EB = BC. How much is A (AJ~; , USr?

b Ild mZI XE) 4yl; mz2 3(56) type your answer Apue 1. Waemd 8. Find Xano The diagram is NOT to scale.

Triangle equals the sum of angles PMN, QPN, and QNP.

Find the measure of angle D. D E = 80Â° 1359 C R Nour meweem

Questions: 1. Is this index a length? 2 What exactly does this index tell you about Box A? 3. How does Box B differ from Box A? Refer to the measurements and the index in your answer:

Use the given information to answer the following: 12. If m EB = 950 and m ED = 185Â°, find m âˆ EAB. 43. If m âˆ EFB = 600 and m âˆ CD = 200Â°, find m âˆ DAE. 14. If m EB = 100Â° and m BD = 95Â°, find m âˆ EAB. 91.25 pts

You roll two dice. The first die shows a 1, and the other die rolls under the table, so you cannot see it. Now, what is the probability that both dice show a 1?

8. How many handshakes are there in a meeting of 6 persons?

7. What is the probability of getting only odd numbers when rolling a die two times?

Given the following data Data 90_92,93,88,95,88,97,87 and 98 Find the median, mean and the standard deviation

The two triangles below are similar Find the unknown side lengths

2) ZCAB is similar to LCSR Given that SC = 20, AS = 30, RS = 6, find AB

In Figure 12.10, indicate your reasoning. Determine the area of the shaded triangle. Show all notations on the figures. Inadequate explanations will not receive full points. Given (6 pts).

Let p denote the current market price for widgets and let x denote the quantity of widgets. The price per widget and the daily supply of widgets are related by the following Supply Equation: p = 0.18x + 11. The price per widget and the daily demand for widgets are related by the following…

Let M be the midpoint of AB _ If the coordinate of A is 5 and the coordinate of B is 11, find the coordinate of M _

Search Euclid '$ Fifth Postulate on the internet and write down one statement that is equivalent to the postulate. Pick one that sounds interesting t0 you_ There are many possible answers $0 [ expect that won get the same answer from everyone.

a2 7 ) b1 zq a1 a1 = 9 inches a2 = 4.4 inches b1 = 6.37 inches b2 = 5.54 inches h = 5.4 inches Type text here Area: 25.21 in Perimeter: Type:

Problem 11_ (Theorem on the diagonals of rhombus. rhombus are perpendicular: Show that the diagonals of

BK bisects âˆ LABC and mâˆ LABK = 28.38. Find mâˆ ZKBC and mâˆ LABC. mâˆ ZKBC = mâˆ LABC =

The measure of the vertex angle of an isosceles triangle is 10 degrees less than three times the measure of a base angle. Find the measure of the vertex angle. Find the measure of a base angle of an isosceles right triangle.

Find the intercepts for the surface whose equation is as given below: 2x^2 + y^2 + 2 + ix + 8z = 3

1. In the accompanying diagram, $\overline{AB}$ and $\overline{CD}$ intersect at E. If $m\angle AEC = 4x - 40$ and $m\angle BED = x + 50$, find the number of degrees in $\angle AEC$. C $(4x - 40)^\circ$ E $(x + 50)^\circ$ D 2. Two angles are complementary. One angle has a measure that is five…

5 ft 18 ft 10 ftt 5 ft Decompose the figure to find the area: Enter number answer only: 120

Find all unknown angle measures. Triangles are not to scale. Similar Triangles Theorem Felix L. Menanal Heeate MZT = MZY = tan z1 Mae

Two identical copies ofa right-angled triangle are placed on top of each other to make a quadrilateral ABCD as shown below: diagram not to scale The perpendicular sides of the triangles are in the ratio 1:3 What fraction of the area of the quadrilateral is covered by both triangles?

The picture shows geologic cross section with rock units and faults labeled with letters: Units A, E, M and $ are igneous rocks; C, K, P and T are faults. According to geologic principles, which igneous rock is younger? (Note: Both units marked are of the same age.) Can't tell without further…

SELECT ALL THAT APPLY. Select the quadrilaterals that have the given property: OPPOSITE ANGLES ARE CONGRUENT Rhombus Rectangle Parallelogram Square

Numerical part of the answer: Do NOT include the degree symbol. Only include the Find mLU. 116x + 1 63x

Solve the following problem and explain how the mathematical definition of a circle is involved in solving the problem: The towns of Knoxville and Asheville are 10 miles apart. The Walmart store is 6 miles from Knoxville and 4 miles from Asheville. Draw a map showing Knoxville, Asheville, and…

(4x + 5)" (Sx - 5) In terms of a what is the area of the right triangle DEF above? 3 ; 2a? 3a2

Given that the indicated lines in the figure below are parallel, determine angle @ without actually measuring it. EXPLAIN THE REASONING FOR EACH STEP. parallel 125

What is 22%of 140

Jessica wants to enlarge a photo with dimensions 8 by 24 inches. What is the perimeter of the photo?

A roofer said he charges $5 per square foot of roof that he replaces. To the nearest hundred dollars, how much can Jeff expect to pay the roofer to replace the roof on his house? (Hint: Remember only the lateral faces of the pyramid would need to be replaced). $1,800 $3,300 $5,400 $9,900

20. Find ( ( 8 RV 'hat 2 the measure 0 4p of each 70 1 4" + 5/0 angle: (+25 2 2

Fencing How much fencing is required to enclose a circular garden whose radius is 28 m? Use 3.14 for π. About m of fencing is required to enclose the circular garden. (Type an integer or decimal rounded to the nearest hundredth as needed.)

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The text illustrated in the figure shows the night (both ends) and approximately how much material is needed to make the bottom should be included)? The approximate amount of material needed to make the tent is Do not round until the final answer. Then round to the nearest hundredth as needed)…

If DM = 25, what is the value of r? 45 - 28 10 12 8 14 15

Find the area of the geometric figure. Side 2yd, Side 2yd, Side 2yd, Side 0A 80 sq yd, Side B 65 sq yd, Side C 150 sq yd, Side D 60 sq yd.

Strange geometry results pop up all over the place, and you can find them almost absentmindedly. For example, suppose you were bored with remote education (unthinkable). You might draw rectangle ABCD and mindlessly draw two equilateral triangles AQAB and 4PAD on the sides of your rectangle. You…

3. (20 pts) (a) Given is any triangle, where one exterior angle is created at each vertex. Calculate the sum of the measures of these three exterior angles. [Note: don't just draw an equilateral triangle. Your proof should work for ANY triangle.] [Hint: angle chase.] (b) Just like the interior…

Identify the corresponding parts (angles and sides) 6. 8 MacBook Pro 20 888

In the accompanying diagram, parallel lines AB and CD are intersected by transversal EF at points X and Y. The measure of angle FYD is 123. Find the measure of angle AXY.

MacBook Pro; 30Â° 088Â°

In the diagram below, FAD, EHC, ABH, and BC are drawn. If m∠FAB = 48° and m∠ECB = 18°, what is m∠ABC?

triangle: 1 right 2 possible True 0 False 2 0

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All statements about bases and heights in a triangle and parallelogram are only a horizontal side and a triangle / parallelogram can be a base and obtuse angles because I can't tell which side should be which. The names "length" and "width" don't work for a acute triangle. A height can be drawn…

Tcncd Output oncon Jal Oru 3.4 Applied Optimization (Preview) OPEN} Solve this equation for y in terms of I. Find: formula for the volume V(z) in terms of z. V(c) What is the domain of the function V? Note that both z and y must be positive; consider how the constraint that girth plus length…

Given: Circle 0 with diameter AC, 0 as the center; and B, point on the circle but different from points A and € Describe angle ABC Prove: Prove your conjecture_

Determine if the pattern illustrates Geometric Sequence or not: 5,10,20,40,80, 3,6,9,12,15, 1/8,%, Yz, 1,2, 1,3,9,27,81, 10,9,8,7,6,

State whether each of the following sequences is geometric or not.

Use the isosceles triangular prism below to answer parts (a)-(b). (a) (4 points) The base of the triangular prism is an isosceles triangle. The height of the triangle is 2√3 cm. Use facts of the 30° - 60° - 90° triangle to find the lengths of the triangular base. (b) (5 points) Find the…

(a) Consider the parabola y = -2x^2 + 4x + 6. Which of the four figures below best represents the parabola? You must provide an explanation to support your choice (3 marks). Find the maximum or the minimum value of y. (2 marks) Fig: A Fig: B Fig: C Fig: D

Perpendiculars Math Assignment Level: 1029 Boxing Name Lesson Number: 18 Directions: Complete the following constructions. Leave all construction aids on your paper. Construct a perpendicular to line t through point B. Construct a perpendicular at point A and at point B (Hint: Extend AB).…

Emily drew quadrilateral ABCD and its image A'B' C D' in the coordinate plane Draw a 180* rotation and a 90" clockwise rotation quadrilateral ABCD around the origin

Suppose the reasons clearly. 8 J1EJ$ Isn't no A and EG is perpendicular AEF CD FEG and is parallel to '34) 8v angles find (b) In the figure below 1

flr) = (r-1)2(r+1} g+) = x-1)2/.+1)

A diagonal of a rhombus bisects two angles of the rhombus_ In other words the diagonals of a rhombus are angle bisectors

Given (xy)_(x+3,y-2), you are moving the 'given preimage'.

24. Identify the scale factor used to graph the image below: k=

Given XZ = ZW, YZ = ZV, Prove ∠X = ∠W

22. Graph the image of the parallelogram below using a scale factor of k = 2/5. E' (___, ___) F' (___, ___) G' (___, ___) H' (___, ___)

14. 0 Line D Point 0 Rotational 0 None 161 0 Line 0 Point 0 Rotational 0 None

Triangle BCD with vertices B(4, 4), C(8, 14), and D(12, 0): k = 1/4 B' ( , ) C' ( , ) D' ( , )

5. Paper Folding Take a rectangular piece of paper and fold so one pair of opposite corners coincide: You should have a fold line if you unfold it: Name the endpoints of the fold segment AB_ Fold A onto B A,B Unfold and look at the crease lines. Why is every point of segment AB equidistant from…

3. Find the missing sides of the similar triangles 12 ft 13 ft 5 ft E 5 ft y ft Xft

If the equation line Equation I:y = 4x + 82 intersects the x-axis at x = -10, find the missing value below:

24.3 Given acute angled AABC, extend the altitudes from and to meet the circumcircle at points X, Y, and Z, respectively: Show that lines AX, BY and CZ bisect the three angles of AXYZ.

Consider the parabola y = 2x^2 + 4x + 6. Which of the four figures below best represents the parabola? You must provide an explanation to support your choice (3 marks). Find the maximum or the value of y (2 marks). Fig: A Fig B Fig C Fig D

Trapezoid JKLM with vertices J(-6, 6), K(-3, 7), L(-1, 3), and M(-8, 0): (x, y) → (x + 7, y - 3)

Parallelogram CDEF has vertices C(3, 2), D(8, 4), E(6, 3), and F(L, -5). Its image has vertices C'(6, 6), D'(-1, 8), E(-3, 1), and F(-8, -1). Write a rule to represent this translation: Rule:

Square RSTU with vertices R(-2, 1), S(3, 4), T(6, -1), and U(1, -4): (x, y) → (x - 4, y - 1) R'( S'( T'( U'(

4. ABCD is a rectangle, A is the center of the circle, and BD = 10 in. Find the radius of the circle. Explain your answer.

Arectangular tank, 10 cm long and 6 cm wide contained water cm deep. After some small stones were placed in the tank; the water level rose to cm What was the total volume of the stones? (cI I0 cm

Rectangle The diagonals are congruent Rhombus The diagonals are perpendicular bisectors

Rhombus PQRS with vertices P(-8, 6), Q(-4, 8) , R(O, 6), and S(-4, 4): in the line y = 2 P'6 MD) Q" ~ R' ( Sh G

Triangle GHI with vertices G(4, 1), H(5, 4), and I(2, -8) lies on the line y = x.

GEOUZFY Br__ DAVON GAINER Transformations Name: Date: Bell: Directions: Graph and label each figure and its image coordinates: 14 Triangle ABC with vertices A(-3, 2), B(-1,7) and C(6, 1): in the x-axis 4() B'(-3) cLL_

If the check vector is given by c = [1,1,1,1,1], find the correct check digit d to append to the vector [2,6,2,4] in Z to obtain a valid code vector. You are being asked to compute the check digit. Your answer should be a number between 0 and 9.

Directions: Identify each pair of angles as adjacent, vertical, and/or as a linear pair: (1 pt) 1. L and 41 - adjacent 2. L and 45 - adjacent 3. L1 and 26 - adjacent 4. L3 and 42 - adjacent Directions: Use the figure below to answer the following questions: (2 pt) 1. Name a pair of adjacent…

Let M be the centroid of AABC and A' be the midpoint of [BC]: What is the ratio A4 AM A. 2; 2 C. 1; D

12) 1 11)v= 10) Y Mss Ac 5 Without graphing; Sturgis the question 228 the- 2 3 V gray 1 whether the 0 her sauii of fabric parallel? nieces are The parallel P? Etetatfo perpendicular, 3 block shown neither. at the right: If m<1 8 and m<2

Question 61 Which of the following statements regarding the line included in the given diagram are correct? The diagram includes two identical triangles, triangle ABC and triangle ABD. Are ADH and ACB parallel? And what is the diameter?

Reflect across the x-axis then reflect across the y-axis then translate 4 units right. Reflect across the line x = 2 then reflect across the x-axis Reflect across the y-axis then translate 4 units right. Rotate 180° around the origin then translate 4 units right Rotate 180° around the point (2,…

2 of me - of tive Give a Teacher's Solution to the following problem. The figure is a regular pentagon. Find in order; angles a and b, angle angle d, and angle e. Conclude that c = d = e,s0 the top interior angle is trisected. Do pa bo

OzD - A 4B - 4, 2C - 4F AB = DE and BC There is a sequence of rigid motions that maps point A onto point D, AB onto DE; and B onto F. There is a sequence of rigid motions that maps AB onto DE, BC onto EF, and AC onto DF.

8, Find the measure o1 x emd

The statement "If two angles share the same vertex, then they must be either vertical angles or adjacent angles" is FALSE. Use the diagram below to fill in the sentence with the correct angles, complete the counterexample, and share the same vertex but are not vertical angles and are not…

Find the value of x that makes m || n 1508 (3x 15)"

=X (8 14 + 3x 8

AA' BB" CC"' AABC can be rotated 180Â° about the origin to map onto AA"B"C AABC can be translated 4 units to map onto AA"B"C" AABC = AA"B"C

Write a 2-column proof. (5 points) Given: E is the midpoint of DF, CD = FG Prove: CE = EG

2 Let M be the centroid of AABC and A' be the midpoint of [BC]: What is the ratio MW AV 2 A 1; B 2; C 2 D. 3

Let I be the incenter of a triangle ABC. If âˆ KABC = 7Â°, find âˆ KAIC.

Owr = 22 XWX T XY || Xw' 0 XY || XY rX ITT acaoolPro 20 888

Let M be the centroid of AABC and A' be the midpoint of [BC] What is the ratio 4 A: 2 B1; C %

Which statement is true? mzD = 289 mzA = 438 mACD = 719 mBCE = 1098 MacBook Pro 30, 888 $ %

8. Let AABC be a nondegenerate triangle. Assume that the external bisector at the vertex intersects the side [BC] at the point D. Prove that AB DB AC DC Hint: this exercise was in the homework.

MATIZZ Practice with Coordinate (Introduction) Graph right triangle ARC with vertices A (4, B (7, J, and C (Lahlech, crlet. Determine the lengths of the two sides of the triangle. Determine the length of the hypotenuse of the triangle. Find the area of the triangle. Find the perimeter of the…

In how many ways could members of the following club line up all 5 members for a photograph? (Simplify your answer)

Find the value of x that makes m || n m n (180 - x)° x = x°

Let H be the orthocenter of a triangle ABC. If âˆ LABC = x, find all possible values for âˆ LAHC.

Find the equation of the line through and perpendicular to the following equations a.Y= 5x+5 The equation of the line is (Use integers or fractions for any numbers in the equation ) b.Y = Sx + 1 The equation of the line (Use integers or fractions for any numbers in the equation ) c.X= -7 The…

6. A polygon has m sides. If one of its interior angles is 80 degrees and the other interior angles are each equal to 160 degrees, find the value of m.

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Find the equation of the line through and perpendicular to the following equations a.Y= 5x+5 The equation of the line is (Use integers or fractions for any numbers in the equation ) b.Y = Sx + 1 The equation of the line (Use integers or fractions for any numbers in the equation ) c.X= -7 The…

Find the equation of the line through 2,9) and perpendicular to the following equations The equation of the line is (Use integers or fractions for any numbers in the equation ) b.y= - 4x+3 The equation of the line is (Use integers or fractions for any numbers in the equation: c.X= The equation…

Prove: Given: Write X = 27, CABC = LCBD; 2-column 04 and; II (6 LCBD = L ~ 5

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9. Find the length of thc missing leg must include all formulas) Determine the area 10 in. 8 in_

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15. The measure of angle ZP is five less than four times the measure of angle ZQ. If angles ZP and ZQ are supplementary angles, find mZP. In the diagram below, angle ZAFB is equal to angle ZEFD. If mZEFD = (Sx + 6) and mZDFC = (19x - 15), and mZEFC = (17x - 19), find mZAFE. 17. If SV = RT,…

Find the perimeter of a square with diagonal 4âˆš2.

Write a 2-column proof: (5 points) Given: LTEV = LXEW Prove: LTEW = LXEV

ImLSKL and mZJKS, what is the measure of LJKL? FK degrees: Suppont Schoo Fu=

5.1 Dilation and the Fundamental Theorem of Similarity (FTS) Prove or disprove: For any quadrilateral ABCD, if |ABLI BCI | CDLI DAI, then ABCD is a parallelogram. For any quadrilateral ABCD, if ABCD is a parallelogram, then IABLI BCI CDLI IDAL.

Write a 2 _ column proof: (6 points) Given: diagram JW, Prove: Lw= Ly + Lz

If mLABD = 5, then what is mLACB?

The endpoints of a diameter in a circle form an angle with point C. What is the measure of âˆ ZBCD? 180Â°

13. Using a compass, construct a median from angle A to side BC.

What is the measure of ∠B?

Find an equation for the ellipse whose vertices are at (-2, 7) and (2, 51), and focus is at (2, 31). Graph the equation. The equation of the ellipse is L = t. Choose the correct graph below.

Given: Parallelogram ABCD, with diagonals XC and BD Prove: ABEC = ADEA PROOF: Statements:

The area of the shaded square is 25 sq. cm.

Square ABCD is inscribed in circle O. What is true of the diagonal of ABCD? It is twice the length of one side of square ABCD. It is half the length of the diameter of circle O. It passes through the center of circle O. It is twice the length of the diameter of circle O.

9.3.35 In the diagram shown to the right, there are two similar triangles. Find the unknown measurement. c = (Simplify your answer.)

Find the volume of a sphere with a diameter of 9 feet. Round your answer to the nearest tenth. A 81 ft3 B 243.7 ft3 C 301.8 ft3 D 381.7 ft3

Before: 37 of 1 pt Find (Type 1 Wnandn L sumpllled fraction ) 1 1 19 of 29 compteia 4 1 Quastat

TRUE FALSE: Every rhombus square TRUE ~OR~ FALSE: The segment that joins the midpoints of two sides is parallel to the third side. TRUE FALSE: Consecutive angles of a trapezoid are congruent. TRUE FALSE: The diagonals of a rectangle bisect the vertex angles. TRUE ~OR~ FALSE: The corresponding…

Answer the question by creating 3 perpendicular bisectors. Please explain another way of creating.

Enter your ideal answer "use the statement to determine the angle and substantiate your statement with evidence.

Answer the question by creating 3 perpendicular bisectors. Please explain another way of creating.

E DOK1 (1-2) Identify opposite angles, transfer angles, the angles determine angles cutting, used, route 5, toes, sum, parafethe lines, inside angles equal 180 degrees caused.

12.4 cm 13 cm 14 ft 12.5 cm 6 ft 14 cm 3 yd 3 yd 6 ft Surface Area Surface Area Surface Area:

Sketch and write the mathematical expression of the Fourier transform of the train function impulse S(t) = 2Î´(t - mTo) cos(2Ï€f0t) Figure Problem 2-4 G(f) is the spectrum of the signal g(t) Sketch the spectrum of the ideally sampled version of the signal

Are triangles DEF and LNM similar if DF = 8 and LM = 4?

d %i = 3 + 318 221+02+2 = 7811 + Bzs + #8 = 10 e 21+33 = 120+23 = 1l Tc + I3 = 13

Calculate the X and Y components of the angled 90kN force and calculate the reactions for the following structure: 30kN 1.0 m 2.0 m 1.0 m 90kN 2.5 m 2.0 m 4.5 m

What is the center of the circle with equation (x - 5)^2 + (y + 3)^2 = 16? (-5,3) None of these. What is the radius of the circle with equation (x - 5)^2 + (y + 3)^7 = 16? 256 None of these. Express the circle given by the equation x^2 + y^2 - 4x + 6y + 9 = 0 in standard form. 2) 2) 3) None of…

Find the volume of the figure. Express the answer in terms of π and then round to the nearest whole number. 12 ft 13 ft

[0.48 Points] Need Help? DETAILS AUFEXC4 7.5.007.Mi; Q/100 Submissions Used 1 Calculation 1 1

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Use the given information to prove that RS is not parallel to VT. You are not allowed to use the Transitive Property for parallel lines. (You may use the Transitive Property for perpendicular lines though.) Given: RQ || SU Prove: IRS || VT Statement Reason 1. RQ || SU Given 2. IRS || RQ…

Bill draws a regular octagon with a perimeter of 32 units. He picks a vertex of the octagon and draws two line segments through the interior of the octagon, each to a different vertex so that his link segments divide the octagon into three quadrilaterals What does the shape look like? What are…

Find the formula for a complex function which reflects points in the complex plane.

Should Jq Determine athct, 4 angle NO DEchcre % +2i. APPROXIMATIONS and Vi # Your answer.

17 + 1 = 18. The following decimal points express approximations. Cartesian form is used to plot the answers on a Cartesian plot.

Use the given information to prove that r || t. You are not allowed to use the Transitive Property for parallel lines. (You may use the Transitive Property for "=" or "≅", though.) Given: s || t ∠6 ≅ ∠2 Prove: r || t Statement Reason

Imagine two types of cars (heavy) and (light). The costs of producing each type vary emissions C(Xh, 9) and C(Xl, 9) respectively. The environmental damages are given by: 4X(ea Xh - KneTe emissions regulation. We assume d=18=4>1. Consumers derive utility from consuming Xh units of type H and X…

Given: WY = XZ Prove: WX = YZ 3m 14m X 3m 14m Activity Ques. Zc X 14m m Statement Reasons 1. 2. 3. 4.

Actions Activity Ques 1c Zm 11m R Q 11m ( ) m R S Reasons_ Given: PQ = RS Prove: PR = SQ 7m 11 m (z) m Statement 1, 2, 3

9.2.45 Use the diagram below to find the measure of exterior angle N in triangle BCD. Homework 19 of 24 (18 complete) The measure of exterior angle BCD is 107 degrees. MH Scc

What is the colorfulness or the perceived intensity of a specific color? Time Action Color hierarchy: Value. Saturation: Neutral:

Given quadrilateral MNPQ Move the point M to the midpoint of line PQ Construct the perpendicular bisector of line MN Find the area of quadrilateral MNRQ Find the sum of angles DP6 Take the union of cycles QMA and Areu Find the perpendicular bisector of line QM Find…

Determine the area of the shaded region in Figure 12.57. Explain your reasoning.

36. PQRS is an isosceles trapezoid. If ZTRS = 1009Â° and LT = 359Â°, and PS = TS, find the measures of the numbered angles: XP = 5 in, YZ

11. If ADEF = AJKL, find KL. 12. If APQR = ATSR, find SR. 2x - 6r + 3 4x - 26

If AKLJ ~ AVWU, find the value of x: 25 2r + 2 4x - 23 W 20 10. If ANML ASRL, find the value of x. 28 24 X + 3r - 1

In the diagram below, mZHEF = 136Â°. Find the measures of the angles of AEFG and mark them on the diagram. Then, list the measures of the sides of the triangle (e, $, 8) in order from shortest to longest:

Find the volume of the rectangular based pyramid (MUST include formula round t0 the nearest tenth ) Volume 4.8 m

3. Two parallel lines are intersected by transversal. Find the measure of each of the angles; given Angle 6 = 64" angle [ = angle 2 = angle 3 = angle 4 = angle 5 = angle angle 8 =

Write an algebraic expression to find the measures of the angles described: are Complimentary If one angle is 280 greater than the other, find the (WO Two angles angles 1" angle: 2nd angle: Two angles are supplementary: one angle 569 less than the other, find the two angles 1" angle: 2nd…

Find the length of the curve r(t) = <3cos(3t), 3sin(3t), t> for -1 < t < 1. Then, reparametrize r(t) so that ||r'(t)|| = 1.

10. rectangular kitchen is 27 feet long and 21 feet wide; [ trim costs SIS per Yard; how much does it cost to put trim around the kitchen? must include formula Cost

house, is 15 feet from the house: How far up the house The base of # 20-foot ladder leaning against = hint: what type of triangle does it form? does the Ladder reach?? round to the nearest tenth

Find a line that lies entirely in the set defined by the equation x^2 + y^2 - z^2 = 1.

Find the volume of a beverage can that has a height of 7.1 in. and a radius of 1.3 in. Use 3.14 as an approximation for π. The volume of the can is (Type an integer or a decimal rounded to the nearest hundredth as needed.)

Text 1 of 4: Calculus II A1-1 Assignment 1 (100 marks total) Note: Give exact answers where possible (for example, Ï€ is exact but 3.142 is approximate) [8 marks] The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the…

Mobius Transformations: Theory 9 Let T and S be Mobius transformations. Prove that |TS| = |T||S|, where |T| is the determinant of the transformation T.

Prove that a MÃ¶bius transformation with a single fixed point at 0 is a translation:

Let P and Q be diametrically opposite points on the unit sphere, a^2 + b^2 + c^2 = 1. Let z and w be the stereographic projections of these points in the complex plane. Show that zw = -1.

Is this an equation of a conic section? Support your answer. 64x^2 + 25y^2 = 1600

Mike is placing a sidewalk around his pool. Find the area of the sidewalk. Rosie is planting a garden with the dimensions shown below. She wants to cover the entire surface of the garden with a layer of mulch. The mulch costs $3 per square foot. How much money will she have to spend on mulch?

Example Step by Step Use the distant and Information Given to select the correct classification for each angle pair: GreMLAFD maEFD Points and points E collinear Drudand drone Luch EJlr olunaitinio Ine collect Clcgon Vertical angle Mn e46 parallel angle orientation ( Indicate whether (nc puu…

8 2 ? What For parts are lu| AABC = ABCA HH ABAC all possible and b select 2 all that congruence true congruence apply correspondences correspondences between rectangle between an equilateral ABCD triangle ABC Select Itself? that apply: Select that apply:

of L13_ L12, and Ly 8. Find the measures 26 40" _ all the numbered angles given

Question 16.7 pts Find the valucs of X Yand z In the (ollowing circles: 1058 958 1402 1x3

Find the values of X, Y, and Z in the following circles: S0 100" S1X =

The following proof shows that the arcs bisect the circumference of a circle.

Callisto 792041. mnc Ok In the figure above, how should the semi-major axis and period P be adjusted in order that the white curve matches the observed plot of the distance of Callisto from Jupiter versus time (the blue dashed curve)? Increase and increase Increase and decrease Decrease and…

Points P,Q,R,S are taken on sides AB,BC,CD,DA of square ABCD SO that AP PB = BQ : QC = CR RD = DS SA _ Prove that PQRS is & square:

Problem: Consider triangle ABC and construct equilateral triangles AABD, ABCE, and AACF outside of it. Prove that AE = BF = CD. Problem: In neutral (absolute) geometry, consider triangle ABC and a line such that A, B, and C are on the line. Prove that the line cannot intersect all three sides…

If AB || CD, find the size of the following angles in Figure 24-22: âˆ LBAC and âˆ LACB. Explain your answers. 113 Ã— 18 192365 FIGURE 24-22 POLYGON INTERIOR AND EXTERIOR ANGLES 1 1 1

4. Find the measure of the indicated angle: 31Â° 758Â° Kouf's answer

A& = Ac AD = DE = EB = BC. How much is A (AJ~; , USr?

b Ild mZI XE) 4yl; mz2 3(56) type your answer Apue 1. Waemd 8. Find Xano The diagram is NOT to scale.

Triangle equals the sum of angles PMN, QPN, and QNP.

Find the measure of angle D. D E = 80Â° 1359 C R Nour meweem

Use the given information to answer the following: 12. If m EB = 950 and m ED = 185Â°, find m âˆ EAB. 43. If m âˆ EFB = 600 and m âˆ CD = 200Â°, find m âˆ DAE. 14. If m EB = 100Â° and m BD = 95Â°, find m âˆ EAB. 91.25 pts

You roll two dice. The first die shows a 1, and the other die rolls under the table, so you cannot see it. Now, what is the probability that both dice show a 1?

8. How many handshakes are there in a meeting of 6 persons?

7. What is the probability of getting only odd numbers when rolling a die two times?

Given the following data Data 90_92,93,88,95,88,97,87 and 98 Find the median, mean and the standard deviation

The two triangles below are similar Find the unknown side lengths

2) ZCAB is similar to LCSR Given that SC = 20, AS = 30, RS = 6, find AB

In Figure 12.10, indicate your reasoning. Determine the area of the shaded triangle. Show all notations on the figures. Inadequate explanations will not receive full points. Given (6 pts).

Let p denote the current market price for widgets and let x denote the quantity of widgets. The price per widget and the daily supply of widgets are related by the following Supply Equation: p = 0.18x + 11. The price per widget and the daily demand for widgets are related by the following…

Let M be the midpoint of AB _ If the coordinate of A is 5 and the coordinate of B is 11, find the coordinate of M _

Search Euclid '$ Fifth Postulate on the internet and write down one statement that is equivalent to the postulate. Pick one that sounds interesting t0 you_ There are many possible answers $0 [ expect that won get the same answer from everyone.

a2 7 ) b1 zq a1 a1 = 9 inches a2 = 4.4 inches b1 = 6.37 inches b2 = 5.54 inches h = 5.4 inches Type text here Area: 25.21 in Perimeter: Type:

Problem 11_ (Theorem on the diagonals of rhombus. rhombus are perpendicular: Show that the diagonals of

BK bisects âˆ LABC and mâˆ LABK = 28.38. Find mâˆ ZKBC and mâˆ LABC. mâˆ ZKBC = mâˆ LABC =

The measure of the vertex angle of an isosceles triangle is 10 degrees less than three times the measure of a base angle. Find the measure of the vertex angle. Find the measure of a base angle of an isosceles right triangle.

Find the intercepts for the surface whose equation is as given below: 2x^2 + y^2 + 2 + ix + 8z = 3

1. In the accompanying diagram, $\overline{AB}$ and $\overline{CD}$ intersect at E. If $m\angle AEC = 4x - 40$ and $m\angle BED = x + 50$, find the number of degrees in $\angle AEC$. C $(4x - 40)^\circ$ E $(x + 50)^\circ$ D 2. Two angles are complementary. One angle has a measure that is five…

5 ft 18 ft 10 ftt 5 ft Decompose the figure to find the area: Enter number answer only: 120

Find all unknown angle measures. Triangles are not to scale. Similar Triangles Theorem Felix L. Menanal Heeate MZT = MZY = tan z1 Mae

The picture shows geologic cross section with rock units and faults labeled with letters: Units A, E, M and $ are igneous rocks; C, K, P and T are faults. According to geologic principles, which igneous rock is younger? (Note: Both units marked are of the same age.) Can't tell without further…

SELECT ALL THAT APPLY. Select the quadrilaterals that have the given property: OPPOSITE ANGLES ARE CONGRUENT Rhombus Rectangle Parallelogram Square

Numerical part of the answer: Do NOT include the degree symbol. Only include the Find mLU. 116x + 1 63x

Solve the following problem and explain how the mathematical definition of a circle is involved in solving the problem: The towns of Knoxville and Asheville are 10 miles apart. The Walmart store is 6 miles from Knoxville and 4 miles from Asheville. Draw a map showing Knoxville, Asheville, and…

(4x + 5)" (Sx - 5) In terms of a what is the area of the right triangle DEF above? 3 ; 2a? 3a2

Given that the indicated lines in the figure below are parallel, determine angle @ without actually measuring it. EXPLAIN THE REASONING FOR EACH STEP. parallel 125

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