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August 8 of 2022
CHALLENGE? READY For A and the 7th 'puzzle below, to find the value of each Icon. Directions: Use your math skills. = 315 = 0 * 19 + 2^2 = 153 = √100 = ? My Answer: ?
In the figure below, AABC = ADEF_ what is the measure of LD? (3x + 5)9 21.4)0 (6x _ 20)9 A (2x - 49 C
If AFGH ~ AKJH, find FH. G = 2x + 2 14 7r - 9 35 K 40 042 44 46
Choose the graph that represents the solution of the inequality 20 - 3) - Sx < X - 2 55 -4 -3 -2 -1 T| 5 - - -2 -1 2 3 1 0 -5 -4 -3 -2 -1 4+8077, -5 -4 -3 -2 -1
Quadrilateral where AB = √646 and BC = 212. Given ABCD is a square.
AB = BG, AC = GC, ZABC = ZGBC Explain why G' will coincide with
3) Find LX Find IU 9 J0A 4) 15 0 | 0 I0 D} 29
The altitude of a triangle is 65 cm less than its base. The area of the triangle is 42 cm^2. What is the base of the triangle? a.) 6 cm b.) 7 cm c.) 12 cm
The perimeter of the pentagon below is 56 units. Find the length of side VW Write your answer without variables_ 2z + 3
The figure shows two parallel lines intersected by a transversal. One of the angle measures is given. Find the measure of the indicated angle Find the measure of _ 7. 1638 1070 738 1738
3) In the diagram. 0 is the center of the cirele. Find unknown x M 858
radians intercepts an arc of length H Find the In a circle; an angle measuring radius of the circle in simplest form
In the diagram, €1 is parallel to 82. If the measure of 24 = 3, what is the measure of L8?
In Fig. 4.7, EF is a chord of the circle passing through E, C, and F. CD bisects EF perpendicularly at D. Fig. 4.7a: If IEFI = 12 cm and ICDI = 2 cm, calculate the length of the radius of the circle whose segment is shown. Fig. 4.7b: If O is the center of the completed circle, calculate the…
Use Pythagoras' theorem to calculate the missing side length in these diagrams. 3cm 5cm m
Phonacu Decic Cch Column Y-intercept: 3 slope: J-intercept: 3 Slope: -2 5-intercept: Slope: 0 I-intercept: -3 Slope: undefined Y-intercept: 3 Slope: Column B E
The area of a rectangle is at least 560 in². The length is inches more. What is the inequality of the area of the rectangle? w(2w+3) < 560 w(2w+3) > 560 w(2w+3) < 560 w(2w+3) > 560
In circle O, radii O4, OB, and OC intercept the minor arc AB, BC, and AC with measures (x+18), (4x+10), and (ex +121), respectively. What is the measure of BAC? 130 132 134
Points by Plot each set of points on the coordinate plane. Then connect the consecutive line segments to form a geometric figure and answer the guided questions that follow. You may separate sheets if necessary. L4 (H), B (1,2), C (4,2) 6.1 (4,4), O (3,9), V (8,2), E (1,-3) 2G (5,14), O…
In the adjacent figure, we have: AE = 8 cm and B is the midpoint of [AE]. (C) is a circle of diameter [BE] and center O. (AM) is a tangent to (C) at M, where M is a point of tangency. (T) is a tangent to (C) at E, and cuts (AM) at a point N. 1) Reproduce the figure. 2) Calculate the length of…
Find the value of x The segments in the figures are intended &s tangents & secants
The diagram shows a circle with center O and radius length 1 cm. Points A, B, and C lie on the circumference of the circle. Points O, X, and C lie on a straight line segment. Points A, X, and B lie on a chord of the circle, and X is the midpoint of AB. Given that the length of AB is 18 cm, work…
Question 4 Find the equation of a circle In standard form With center at the point (-3,2) and tangent to the line Y=4
If a system of equations has infinite solutions, what does the graph look like? intersecting lines 6) parallel lines perpendicular lines d) coinciding lines
Activity Multiple Choices Choose answer Vtto the chosen letter on the answer sheet. Letter the correct provided. For numbers Please refer to the given below- Given: rectangular garden has an area 84 m² and perimeter of 38 m. Note: Let the longer side be the length of the rectangular…
If the lengths of two corresponding sides in two similar polygons are 12 cm. 16 cm_ and the area of the smaller polygon = 135 cm? then find the area of the greater polygon 240 cm?:
If BF = Zu + 40 and DF = 14u + 28, find the value of u that makes quadrilateral BCDE a parallelogram.
The Perimeter of this the shape missing is 30 feet side? What is the lergth of 7f 3f ft 5ft n1f feet DONE
Wp D doxin [ OU if we are rounding to the nearest whole number, the largest whole number that will round
How long is an arc intercepted by the given central angle in a circle of radius 15.98 km? 150" The length of the intercepted arc is approximately km. (Round to the nearest hundredth:)
16, L2, and /4, and L4, and 25 are supplementary: mZ4 = 1058.
Find the length of each side of the equilateral triangle below: RS = 4-2 ST = 4+8 RT = 7√r-17
What is the area, in cm², of a semicircle of radius 6 cm? Your answer. TT 31A- XE = '8 Tfr? 670 121 187 360
This shape is made from two right-angled triangles and a rectangle_ Not drawn accurately 12 cm 628 5 cm Work out the size of angle :
APOR is isosceles with PO-PR-7.5 cm and OR-9 cm. The height PS from P to QR is 6 cm. Find the area of APQR. What will be the height from R to PO line, RT? ~ c0 8 6 9 cm
In the figure below, if AB = 9, what is BC?
Triangle EGH is congruent to triangle KGF. H HK = 12 cm. HG = 5 cm_ (6) Work out the length of EF.
In the diagram below, BD || AE, BF bisects ∠ABD, m∠C = 88°, and m∠BFE = 116°. Find m∠LE.
pencils or crayons in Graph each inequality on the coordinate plane. Use # graphing paper and paste it at the back You may use colored shading: Write your complete solution. 0 Sx - Zy 2-12
A line that has a slope of 2 and a y-intercept of 3 is represented by the equation y = 2x + 3.
Solve for mZGHI: Answer: mGHI Submit Answer
LI = ZC: Miss the midpoint of BC: CM MB ADD The length of DB
Example 1. Find the equations of the two bisectors of the angles formed by the lines 2x + y + 5 = 0 and x - 2y - 3 = 0. Solution:
Act missing numbers on the number lines. " In the Follow = Fi the" Pattern . 32 4
Instructions: Find the measure of one exterior angle for the following regular polygon: Here we have 8 sides. We use the formula 360" where n 8 . Try again
Given that AGEO AFU N, find mZU. 279 659 889 mZU [answer1] No answer text provided. No answer text provided. No answer text provided.
What are the slope and y-intercept of the line shown? A _ T and 6 = 75 IL = and 6 = 4 Int und b = 10 and 6 7 = 5
Graph the solutlon of 32 5 < -8 or 21 7 2 3 -0 10
The height of a triangle is 3 inches less than twice the length of its base. The total area of the triangle is 52 square inches. Use the variable x to represent the base of the triangle and 2x - 3 to represent the height of the triangle. Calculate the equation.
the area of a rectangle is (8x2 2x 2) square units: If its 15. Suppose width is (x + 2) units what expression represents its length? A. 8x + 18 - 8x x36 D. 8x - 18 B. 8x ~ 18 r+5
1_ The slope is 5 passing through ( -1, 4). 2. The line passes through point 3,-4) and (-2,2)
Instructions: Find the slope of the line if the equation is given. Simplify: 1. Given: Zx + y = 9 2. 5x - 2y = 7 Instructions: Find the slope of the line if the two points are given. Show your solutions in the space provided below. Simplify. 1. (-1, 3) (2, 0) 2. (3, 5) (3, 7)
Show your illustrations for the problem below: 10 points Acircle has equation (x - 5)2 + (y + 2)2 = 25. Find the center € and the length of the diameter b.Find the equation of the line passes through € and the point P (7,2) c Calculate the length CP. Determine whether P lies inside or outside…
Jteme cuneida to graph hclow What are the slopes of the graph? and and } wjd - and What are the y-intercepts of the graph? (0,2) and (0,-1) (3,0) and (1,0) (-2,0) and (0,1) (-3,0) and (1,0) Which system of linear equations represents the graph? K: 3y = 6 63 I+ay=3 (2 3y = Ew 28 '~3y-39
Answer the follow-up questions. Taken 10 2. Slope:
6) 6x + 4y^2 + 8x + 49^2 - 16
30. Find the equation of a line with X-intercept of -2 and Y-intercept of 5. A. Sx - 2y = -10 B. Sx - 2y = 10 C. Sx + 2y = -10 D. Sx + 2y = 10
Write T if the statement is True and change the whole statement if it is False 1) System of Linear Equations is a set of two or more Linear Equations: 2) Parallel lines are pair of parallel lines which cannot be intersect 3) The slopes of Perpendicular Lines are the same. 4) The y-intercept…
Given the preimage on the Cartesian plane, what are the coordinates of the image QrST' when reflected over the Y-axis?
Find the area of the right triangle. Anca square using JMIALE Ane
Which number line model represents the expression 55+ (-25)2 Choose 1 answer:
Find the midpoint of points A(3,1) and B(-6,4) graphically. You may press submit or click the graph again to replot the midpoint: Start over.
1 Graph the solution of the inequality (1point) X33
The length of a side of a square is 05 L units. Which expressions represent the area A of this square in terms of x? Select all that apply: (0x + 7)(6x units) 2I 28 units (6x + 7) units? 3012 149 units" 30 I" 4 Bdx + AI units
Writes Linear Equation ax + by = c in the form y = mx + b and vice versa (MBAL-If-1). Rewrite the linear equation y = mx + b to standard form Ax + By = C. Complete the table below. Given: 10y = 10x - 5 Simplify: 10y = x - 6 + (-x) Simplify Multiplication Property of…
ind the value of x (87+5) (4
21. The length of a rectangular parking lot is 4 m longer than its width and the area is 60m?. Which of the following could be its width? A. 10 m B.& m C.6 m D.4 m
The side length of the square is centimeters. The area of a square is the square of the side length. Write and evaluate an exponential expression for the area of the given square. If the given square is one side of a cube, the surface area of the cube will be 6 times the area of the square.…
Line 1 has equation y = 5x + 2 Write down the equation of a line parallel to Line 1. 7
Transversal Problems with Nov 01, 4:46:37 PM Equations = (Level 1) Given m∠ln, find the value of X. (5x + 19)° (6x + 1)°
If ABGD is a rectangle, find the length of AE. B 4x - 3 E 2x + Z A
Which graph best represents the feasibility region for the system shown above? (1 point) y^2 - 2 < 6 and J < 3x + 2 and Y < -x + 10
What angle relationship describes angles CBE and DEB? saifue JOU3IUI 31EUJBIIV Alternate exterior angles Corresponding angles Same-side interior angles
A 0S 120 2 XlIZu XLu Il c0L mKL Il
For the following line, name the slope and y-intercept. Then, write the equation of the line in slope-intercept form. Slope: Previous Y-intercept: Previous Equation: y =
Find the measure of the angle shown bold 8r - 261 - Angle Blank
Write the equation ofa line in y = mx + b form that has a slope of 2 and a y-intercept of 3. y =-3x - 2 y =3x - 2 B y = 2x + 3 Dy = ~2x + 3
Figures are not drawn to scale. 75 cm 3 cm 6 cm 4 cm
Graph the line with the equation y 5 8 I + 4 F10
On the grid, enlarge the triangle by scale factor centre (0,~2) 2
The line Lg has equation 4x + 2y = 3. Find the gradient of Lx. (2 marks)
Quadrilateral WXYZ is a rhombus and mLWYZ = 2a. What is the value of a? 1288
Triangle ABC has vertices A(-7,8), B(3, k), and C(8,5). Given that AB = 2BC, find the value of k.
Find the slope of each line below using the formula m = ΔY/ΔX. Write your solutions on your answer sheet.
What is the Rectangular Coordinate System? It is used for naming points in a plane, a two-dimensional plane which is divided by the x-axis and y-axis. This plane is used for graphing linear functions. It is used to determine the location of a point by using a single number. Which of the…
Label and plot the following on the number line below. Which point on the number line corresponds to the following? V9/ VTu5 V2s0 10
In the figure below, m∠1 = (r + 84) and m∠2 = 2x. Find the angle measures. m∠1 = 640 m∠2 = 116°
Cuts are made along dotted lines in an equilateral triangle to get a new shape as shown below: 10 cm 10 cm 10 cm 10 cm 10 cm 10 cm 10 cm 10 cm 10 cm 10 cm The perimeter of the new shape is compared to the perimeter of the original shape. What is the change in the perimeter of the original…
The function f(x) - 30x^2 + 51 represents the area and length of a side of the square. To find the binomial that represents the length of a side of the square, we need to take the square root of the function.
In Diagram 23, PQR is a straight line. Find the value of x. [3 marks] J8 L>S Jawapan/Answer: Diagram 23
Triangle GH is formed by connecting the midpoints of the sides of triangle DEF. The measures of the interior angles of triangle DEF are shown. Find the measure of angle EGH. (Note: Figures not necessarily to scale.) Answer: mZEGH Submit Answer
A Follow the maze by choosing the correct answer: THE SQUARE ROOT MAZE START √36 √144 V8I √121 √100 V25 V64 √121 √49 √100 V144 √64 68 FINISH √436 VSI V25
Derpusal Ul p.E uan D [dsmg-14sing quadrant at centre D. In the following diagram, ABC is a right triangle and BDE is the midpoint of the straight line AB and BC respectively. X cm = 1 B Unc 22. Given the area of the shaded region is 427 cm², calculate the value of x. Use T [2 marks]. Given…
Below is trapezoid ABCD with midsegment EF. What is the value of x? Enter an exact answer.
mL2 =x+85 328 0 ~8 ~7 8; 8 d 411
Find the slope of the line that passes through (10, 10) and (7 _ 14) .
I FG = GH = 81, FI = 0 + 27, and HI = 2c. What is the value of c?
Matches this graph? Which equation y = 4x + 1 Y = Y = () - 4
<ABC and <XYZ are complimentary_ If ABC
The length af the base an isosceles [nangle [5 x The length of_ The perimeter of the triangle Is 23 Find x
In the figure, CB and CD are tangents. (Check A4B and D) If CB > 10, what is CD? If m∠BAC, what is m∠BCA? mLBCD = 13, what is m∠BCA? m∠DCA.
J01 co 40 u 2 W n L LL 48 0[ 0 Enlarge triangle A by scale factor 2.5 with centre (0, 1)
2. {X + zye: 5 Intersecting Lines Parallel Lines Coinciding Lines
Answer the following question (1uid L) In the diagram, five small squares are shaded. "urnbs IICWIS Juol Juo ZpC4S that the diagram has exactly one line of symmetry - V 0 9 0
Oct 28, 10:35:23 PM Parallel - to PQ. If SR = 24, RQ = 28, and in the trapezoid below; ST is not necessarily drawn to scale: RT = 16, find the length of PR. Figures are.
0130048 (20 points): 34R #AE 4r 2 4T5" Travel 47 23
A.Y = 2x + 1 B. Y = 2* of the following: 26-35. Identify the slope and y-intercept respectively 32-33. Y = -6x - 3 m = b = 26-27. y = Ax - 5 34-35. y = x + 6 28-29. y = Zx n = 30-31. y = 2 m = _ m = b = M = 0 =
The distance of EF is V 146 Point E is (6, 4) and Point F is (x, -1)_ What is the missing y value of Point F?
Choose the correct statement about the answers to part (a). In each pair of proportions, the lengths of the sides of AABC are in the same ratio as the lengths of the sides of AXYZ. This is because we compared the sides of AXYZ that correspond to the sides of AABC, and the triangles are similar.…
Circle Z is intersected by AC and CE. What is the measure of AE? 26' Enter your answer in the box. mAE
In the diagram to the right, m∠LMN = 110°, m∠JKM = 127°, and m∠JNM = 105°. What is m∠NKM?
(OBMEP) Na figura abaixo, o ângulo a mede 50°. Qual é o valor do arco AB? a) 50° b) 25° c) 75° d) 35° e) 100°
Use the figure for Question 4-6. Find the measure of each angle: 4. ∠MCA 5. ∠me2 6. ∠mz3
Find the missing side of the right triangles below;
Find the length of the altitude of the triangle, 4 m 5m
Work out the perimeter of the shaded shape_ 3m 10m The diagram is not drawn to scale:
Solve for _ 3x + 5 3x - 4 31
Expressions Solve _(6)r-'+ 5 = by graphing: Round t0 the nearest tenth;
Find the length of AB to the nearest hundredth_ 14 m 80" 1=9.77 1=20 1-25 1=10.67
4. In Figure 2, if the perimeters of quadrilateral region A and triangular region B are each equal to 27, then * +y = (A) 9 12 15 8 18 24 B Figure 2
The graph of a Linear Equation in Two Variables is a vertical line. The slope is undefined.
Find the value of a in the diagram below. 0 + 1 a + 1 0 +1 69
Activity 1: Let's Explore! Graph each pair of linear equations on the Cartesian Coordinate Plane using rectangular coordinates. Label the graph and answer the guided questions in the slope-intercept form y = mx + b that follow. 1. x + y = 3 2. -y = -6 3. x - y = 5 4. 2x - zy = 250
In the diagram below, ∠PNO = 2∠ZPQR. Solve for z. Round your answer to the nearest tenth if necessary. Answer: Submit Answer
Find the area of triangle ABC, where ZC = 90°, a = 3, and c = 9. b) 0^2 c) 9√2 d) 0.6 9√10 9) 0.45
Graph the line that passes through the points (1, 6) and (2, 5) and determine the equation of the line.
V = √1 < 6 y < 3x + 0
Whut is the slope of thc line thal pusses through the points (~4,0) nnd (-1,-10)? Write Your answer in simplest [Orm
The length of a rectangular room is feet longer than twice the width. If the room's perimeter is 61 ft and the width is 22 ft, what are the room's dimensions?
At the halftime show, the marching band marched in a formation. The lead drummer started at a point with coordinates (5,0) and moved 2 steps up and 1 step right. Write a rule to describe the translation. What were the coordinates of the drummer's final position?
2 Sketch the unique triangles that can be made with angle measures 40" and IOO side length 3. How do you know You have sketched all possibilities? and
Hisevin was able to map quadrilateral EFGH onto EJGK using vertical stretch.
Which of the following shows the graph of a line whose slope is 3 through point (2, 197) and passes...
Graph each linear equation. Ixeryd 1Ye*e$
Cool Down Here is segment AB and a point of AB. Mark & point on the circle and label it D circle centered at C whose radius i9 the length Create a Draw line CD
Given that XY^2 + YZ, XV = I + 4, and VZ = 4x + 11, find XV.
19) Na figura a seguir, os segmentos AB são 3cm; AC = DB = 4cm; AD = CB = 12cm. Determine o valor do raio da circunferência.
Find the length of each arc. 7) 20 cm 1350
The length of a rectangular farm is 8 km. Given that the width is three times its length, find the diagonal of the farm dimensions in km. Give your answer correct to two decimal places.
4- Observe the following figure: a) Are the two angles OUP and SUT vertically opposite? Why not? b) Are the two angles OPU and RPQ vertically opposite? Why?
Explain Your reasoning: Match each inequality with its graph. Zx -y > Y < 2x - 2x < y + 6 2x - 6 <y
Classify the given measures of a triangle according to angles 30°, 45°, and 105°. A. right B. acute C. obtuse D. equiangular
A number line is a line that separates positive and negative numbers.
Graph the following Linear Equations m =! (2,1) 3 m =.4 (3.-4)
Graph the following on a number line: Inequality 11 ≤ x < -2 Graph 12 ≤ x ≤ 4 Graph 13 > x > 1
The equation of the line is y = mx + b, where m is the slope and b is the y-intercept. The given point is (8, -1; 63, 4).
What compound inequality describes this graph?
Find the unknown angle measures in each triangle SEE EXAMPLE 18. 519
Find the slope of the table 0,75 15 2.25 Mn=
Graph the equation y = T + √(Line + Unidla + Rrdio) - Reset 10 10 10
For given vectors (1,2,2) and v = (1,-2,1) in R? the Euclidean inner product value of < 2u,v > is OA -2 OB.2 None of the giveu answers is true
rectangle in the first quadrant of the Cartesian plane bounded by the and {e5 the graph of the parabola Determine the possible dimensions ol the rectangles ff its area is square units draw and label the figure
Determine the standard equation of the circles with the given properties. With C(-1,5) and passes through P(3,7)
Activity #13.3: Naming the Coordinates of Each Point Name the coordinates of each point: G, H, K, A, B, C, D, E 1. G: (4, 4) 2. H: (0, 1) 3. K: (2, -10) 4. A: (-8, 6) 5. B: (-7, 4) 6. C: (3, 3) 7. D: (2, -1) 8. E: (0, -2)
is approximately The area of a 12. The radius of & circle with area circular mouse pad is 51 square inches. Estimate its radius to the nearest integer;
Graph the inequality y < x^2. Is the point (-4, 10) in the solution set? Justify your answer. Is the boundary line drawn solid or dashed? Explain?
Find the slope m of the line in the graph below: Joty
Hence, Plot - the inequality 3x + 7 >x + 13 on the number Iine below:
Find the equation of line of the form y = mx + b that passes through the following pair of points. 1. P (2,3) Pz (3, 4) 2. P (5,-2) Pz (6, 3)
The side lengths of a triangle are 23, 25, and 46. Find the area of this triangle. (Answer in terms of simplest surd form)
35" 145" 180" Activity Use these angle rules t0 calculate the value of the missing angles
Diagonals of CK(4, -3), J(-2, 0), and vertices 21. A triangle has L(8, 8). Find the length of side JK. Find the length of the altitude from vertex L. Find the area of AJKL.
(3,0), (0,4) Given two points (X1, Y1) and (X2, Y2), what is the formula for the slope? 04 m dm "% p.m. What will be the value of y in the equation Y = Ax-8? 10
6.An isosceles triangle has an altitude equal to 12 inches and perimeter equal i0 36 inches: Find Ine lerigth of ihe base and the length ol Itie equal sides.
Write and expression for the PERIMETER of the figure in simplest form: 7X-6
Matching type: Match column A to column B. These are equations that can be transformed into quadratic equations. It is the solution of an equation derived from the original equation but not a solution. x(x+5) = 36 (x+1). The product of x and y. d* - 5x - 36 = 0. The sum of x and y. Extraneous…
Graph the line with the equation y = %2 +4
Determine if the triangles are similar and choose the correct postulate or choose not similar: AAS - Not Similar 5457 SSS -
Which statement is true for all squares? They always have parallel line segments, perpendicular line segments, and right angles. They sometimes have right angles. They always have perpendicular line segments and sometimes have parallel line segments. They always have parallel line segments and…
Construct a line segment PQ = 10 cm long: At Pand Q construct a 60* angle at each facing each other.
AvwX_ LX = ZW_ WX = 18 and VW = 16. Find the length of XV_.
Which form of linear equation in two variables is incorrectly noted? y = 3x (Slope-Intercept Form) 2x + 3y = 4 (Standard Form) 3x - 4y - 2 = 0 (General Form) 0 = 3x + (Standard Form)
This question has two parts. First, answer Part A. Then, answer Part B. Part A: Given RS = 24 centimeters and the diagram: 10 cm Set up an equation used to solve for the variable x. TYPE IN THE EQUATION below that you have set up.
11-15. Solve and show your solution: Circle your final answer: Find the slope of the line given pair of points: (4,7) & (9,7) Write your solution & answer here:
AnatI8 the solution (in #ot notation) represented by the graph on line right? (x/o 2 2 31 (rlo > , > J (0 <*$J Ulo <s < 31
Complete NCL
It is a straight line. In point-to-be form, that passes through the points (-6, 14) and (4, 71).
Find the dimensions of a rectangle if its length is 4 more than its width Its area is 621
The length of the rectangle can be expressed as 4 units and the width can be expressed as 2x^2 + 4x units. What is the area of the rectangle? x + 5
Graph the following features: Slope, Y-intercept.
Addeo 10 elementary angles is 26°. What are the two complementary angles with the given angle? (Hint: complementary angles are measures of the sum of 90°)
In ATUV, t = 19 cm, U = 43 cm, and v = 35 cm. Find the area of ATUV to the nearest tenth of a square centimeter.
Two sides of a triangle are equal in length. The length of the third side exceeds the length of one of the other sides by 3 centimeters. The perimeter of the triangle is 9 centimeters. Find the length of each of the shorter sides of the triangle.
Nols; Figures not drawn to scale: The angles shown above are acute and equal to cos(b"). If 4=4K - 22 and b =6k- 13, what is the value of A? A) 45 B) 55 C) 125 D) 2135 In this formula, an m At] pnld cnd nt anl $ 4(0 'RanildI the pressure of 4 1 # that @ Uw ne nture 0 4 } 4l Ja M d Me Diu7
The ratio of the length to the width of the dimensions of the rectangle is 5:4. The perimeter of the rectangle is 72 inches.
In the diagram below, TU is parallel to QR. If the length of QR is the same as the length of TS, and TU = 2, find the length of TS. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.
The trapezoids below are similar _ Solve for the indicated side length: 2I _ 22 32 Solve for side AD AD = [?] Round to the nearest whole number.
8.) The length ofa rectangle is m longer than 3 times its width: The area is 80 sq: m. Which ofthe following equations represents the area of the rectangle? x(37*1) + 80 = 0 b ) X(3x -1) + 80 = 0 c) 7 (8x + 1) = 80 d.) x (3x - 1) = 80
Using the graph determine a) Gradient of AB
What if you know the circumference? Can you find the diameter? Explain how you got your answer. Remember, guess and check if you don't have a formal method (guess and check is great for problem solving!) Circumference = 200cm Your answer:
3. Find the sum of the areas of two squares- Az= 3x+2 m? and Az= X-1 m?. Given thatx = 12. 3x+2 m?
In the diagram, the equation of the straight line ABCD is 4y = 3x + 24. Find the equation of CE.
Given a point P(x,y), if you change the sign of its X coordinate and y-coordinate, what will happen to the location of the point?
Using the given angles, complete the following construction using a compass and straightedge. DO NOT ERASE YOUR CONSTRUCTION MARKS! 1) Draw the angles as shown on a separate paper (Use a protractor and ruler to draw): ∠LA = 30°, ∠ZB = 60°. 2) Using your construction tools only (compass…
Given m, find the value of x. Answer: Human computation
0S 658 Fee 110? 58
What is the next step in the construction of an angle bisector of angle ABC? 0 A Use a straightedge to draw a line passing through points Dand E B. Use a straightedge to draw a line passing through points Aand € C. Use straightedge to draw & line passing through points Dand € D: Use a…
Test: Algebra 2A Unit 5 Test with Study Plan The area in square feet of a rectangular field is x2 120x 2700 The width, in feet, IS X = 30 What is the length, in feet? ho 4e
2.21. Given points A (1,0), B (-5,-6), C (-3,2), D (-2,3). Sketch/plot the given points and then determine what kind of quadrilateral this is, by substantiating with mathematical reasons. 2.2.1. 2.2.2. Find the perimeter of the polygon.
Study the diagram. All numerical values represent lengths of sides in cm. a) Explain why LABF is similar to LACD. b) Use the similar triangles to find the lengths of x and y (correct to one decimal place).
CHALLENGE? READY For A and the 7th 'puzzle below, to find the value of each Icon. Directions: Use your math skills. = 315 = 0 * 19 + 2^2 = 153 = √100 = ? My Answer: ?
In the figure below, AABC = ADEF_ what is the measure of LD? (3x + 5)9 21.4)0 (6x _ 20)9 A (2x - 49 C
If AFGH ~ AKJH, find FH. G = 2x + 2 14 7r - 9 35 K 40 042 44 46
Choose the graph that represents the solution of the inequality 20 - 3) - Sx < X - 2 55 -4 -3 -2 -1 T| 5 - - -2 -1 2 3 1 0 -5 -4 -3 -2 -1 4+8077, -5 -4 -3 -2 -1
Quadrilateral where AB = √646 and BC = 212. Given ABCD is a square.
AB = BG, AC = GC, ZABC = ZGBC Explain why G' will coincide with
3) Find LX Find IU 9 J0A 4) 15 0 | 0 I0 D} 29
The altitude of a triangle is 65 cm less than its base. The area of the triangle is 42 cm^2. What is the base of the triangle? a.) 6 cm b.) 7 cm c.) 12 cm
The perimeter of the pentagon below is 56 units. Find the length of side VW Write your answer without variables_ 2z + 3
The figure shows two parallel lines intersected by a transversal. One of the angle measures is given. Find the measure of the indicated angle Find the measure of _ 7. 1638 1070 738 1738
3) In the diagram. 0 is the center of the cirele. Find unknown x M 858
radians intercepts an arc of length H Find the In a circle; an angle measuring radius of the circle in simplest form
In the diagram, €1 is parallel to 82. If the measure of 24 = 3, what is the measure of L8?
In Fig. 4.7, EF is a chord of the circle passing through E, C, and F. CD bisects EF perpendicularly at D. Fig. 4.7a: If IEFI = 12 cm and ICDI = 2 cm, calculate the length of the radius of the circle whose segment is shown. Fig. 4.7b: If O is the center of the completed circle, calculate the…
Use Pythagoras' theorem to calculate the missing side length in these diagrams. 3cm 5cm m
Phonacu Decic Cch Column Y-intercept: 3 slope: J-intercept: 3 Slope: -2 5-intercept: Slope: 0 I-intercept: -3 Slope: undefined Y-intercept: 3 Slope: Column B E
The area of a rectangle is at least 560 in². The length is inches more. What is the inequality of the area of the rectangle? w(2w+3) < 560 w(2w+3) > 560 w(2w+3) < 560 w(2w+3) > 560
In circle O, radii O4, OB, and OC intercept the minor arc AB, BC, and AC with measures (x+18), (4x+10), and (ex +121), respectively. What is the measure of BAC? 130 132 134
Points by Plot each set of points on the coordinate plane. Then connect the consecutive line segments to form a geometric figure and answer the guided questions that follow. You may separate sheets if necessary. L4 (H), B (1,2), C (4,2) 6.1 (4,4), O (3,9), V (8,2), E (1,-3) 2G (5,14), O…
In the adjacent figure, we have: AE = 8 cm and B is the midpoint of [AE]. (C) is a circle of diameter [BE] and center O. (AM) is a tangent to (C) at M, where M is a point of tangency. (T) is a tangent to (C) at E, and cuts (AM) at a point N. 1) Reproduce the figure. 2) Calculate the length of…
Find the value of x The segments in the figures are intended &s tangents & secants
The diagram shows a circle with center O and radius length 1 cm. Points A, B, and C lie on the circumference of the circle. Points O, X, and C lie on a straight line segment. Points A, X, and B lie on a chord of the circle, and X is the midpoint of AB. Given that the length of AB is 18 cm, work…
Question 4 Find the equation of a circle In standard form With center at the point (-3,2) and tangent to the line Y=4
If a system of equations has infinite solutions, what does the graph look like? intersecting lines 6) parallel lines perpendicular lines d) coinciding lines
Activity Multiple Choices Choose answer Vtto the chosen letter on the answer sheet. Letter the correct provided. For numbers Please refer to the given below- Given: rectangular garden has an area 84 m² and perimeter of 38 m. Note: Let the longer side be the length of the rectangular…
If the lengths of two corresponding sides in two similar polygons are 12 cm. 16 cm_ and the area of the smaller polygon = 135 cm? then find the area of the greater polygon 240 cm?:
If BF = Zu + 40 and DF = 14u + 28, find the value of u that makes quadrilateral BCDE a parallelogram.
The Perimeter of this the shape missing is 30 feet side? What is the lergth of 7f 3f ft 5ft n1f feet DONE
Wp D doxin [ OU if we are rounding to the nearest whole number, the largest whole number that will round
How long is an arc intercepted by the given central angle in a circle of radius 15.98 km? 150" The length of the intercepted arc is approximately km. (Round to the nearest hundredth:)
16, L2, and /4, and L4, and 25 are supplementary: mZ4 = 1058.
Find the length of each side of the equilateral triangle below: RS = 4-2 ST = 4+8 RT = 7√r-17
What is the area, in cm², of a semicircle of radius 6 cm? Your answer. TT 31A- XE = '8 Tfr? 670 121 187 360
This shape is made from two right-angled triangles and a rectangle_ Not drawn accurately 12 cm 628 5 cm Work out the size of angle :
APOR is isosceles with PO-PR-7.5 cm and OR-9 cm. The height PS from P to QR is 6 cm. Find the area of APQR. What will be the height from R to PO line, RT? ~ c0 8 6 9 cm
In the figure below, if AB = 9, what is BC?
Triangle EGH is congruent to triangle KGF. H HK = 12 cm. HG = 5 cm_ (6) Work out the length of EF.
In the diagram below, BD || AE, BF bisects ∠ABD, m∠C = 88°, and m∠BFE = 116°. Find m∠LE.
pencils or crayons in Graph each inequality on the coordinate plane. Use # graphing paper and paste it at the back You may use colored shading: Write your complete solution. 0 Sx - Zy 2-12
A line that has a slope of 2 and a y-intercept of 3 is represented by the equation y = 2x + 3.
Solve for mZGHI: Answer: mGHI Submit Answer
LI = ZC: Miss the midpoint of BC: CM MB ADD The length of DB
Example 1. Find the equations of the two bisectors of the angles formed by the lines 2x + y + 5 = 0 and x - 2y - 3 = 0. Solution:
Act missing numbers on the number lines. " In the Follow = Fi the" Pattern . 32 4
Instructions: Find the measure of one exterior angle for the following regular polygon: Here we have 8 sides. We use the formula 360" where n 8 . Try again
Given that AGEO AFU N, find mZU. 279 659 889 mZU [answer1] No answer text provided. No answer text provided. No answer text provided.
What are the slope and y-intercept of the line shown? A _ T and 6 = 75 IL = and 6 = 4 Int und b = 10 and 6 7 = 5
Graph the solutlon of 32 5 < -8 or 21 7 2 3 -0 10
The height of a triangle is 3 inches less than twice the length of its base. The total area of the triangle is 52 square inches. Use the variable x to represent the base of the triangle and 2x - 3 to represent the height of the triangle. Calculate the equation.
the area of a rectangle is (8x2 2x 2) square units: If its 15. Suppose width is (x + 2) units what expression represents its length? A. 8x + 18 - 8x x36 D. 8x - 18 B. 8x ~ 18 r+5
1_ The slope is 5 passing through ( -1, 4). 2. The line passes through point 3,-4) and (-2,2)
Instructions: Find the slope of the line if the equation is given. Simplify: 1. Given: Zx + y = 9 2. 5x - 2y = 7 Instructions: Find the slope of the line if the two points are given. Show your solutions in the space provided below. Simplify. 1. (-1, 3) (2, 0) 2. (3, 5) (3, 7)
Show your illustrations for the problem below: 10 points Acircle has equation (x - 5)2 + (y + 2)2 = 25. Find the center € and the length of the diameter b.Find the equation of the line passes through € and the point P (7,2) c Calculate the length CP. Determine whether P lies inside or outside…
Jteme cuneida to graph hclow What are the slopes of the graph? and and } wjd - and What are the y-intercepts of the graph? (0,2) and (0,-1) (3,0) and (1,0) (-2,0) and (0,1) (-3,0) and (1,0) Which system of linear equations represents the graph? K: 3y = 6 63 I+ay=3 (2 3y = Ew 28 '~3y-39
Answer the follow-up questions. Taken 10 2. Slope:
6) 6x + 4y^2 + 8x + 49^2 - 16
30. Find the equation of a line with X-intercept of -2 and Y-intercept of 5. A. Sx - 2y = -10 B. Sx - 2y = 10 C. Sx + 2y = -10 D. Sx + 2y = 10
Write T if the statement is True and change the whole statement if it is False 1) System of Linear Equations is a set of two or more Linear Equations: 2) Parallel lines are pair of parallel lines which cannot be intersect 3) The slopes of Perpendicular Lines are the same. 4) The y-intercept…
Given the preimage on the Cartesian plane, what are the coordinates of the image QrST' when reflected over the Y-axis?
Find the area of the right triangle. Anca square using JMIALE Ane
Which number line model represents the expression 55+ (-25)2 Choose 1 answer:
Find the midpoint of points A(3,1) and B(-6,4) graphically. You may press submit or click the graph again to replot the midpoint: Start over.
1 Graph the solution of the inequality (1point) X33
The length of a side of a square is 05 L units. Which expressions represent the area A of this square in terms of x? Select all that apply: (0x + 7)(6x units) 2I 28 units (6x + 7) units? 3012 149 units" 30 I" 4 Bdx + AI units
Writes Linear Equation ax + by = c in the form y = mx + b and vice versa (MBAL-If-1). Rewrite the linear equation y = mx + b to standard form Ax + By = C. Complete the table below. Given: 10y = 10x - 5 Simplify: 10y = x - 6 + (-x) Simplify Multiplication Property of…
ind the value of x (87+5) (4
21. The length of a rectangular parking lot is 4 m longer than its width and the area is 60m?. Which of the following could be its width? A. 10 m B.& m C.6 m D.4 m
The side length of the square is centimeters. The area of a square is the square of the side length. Write and evaluate an exponential expression for the area of the given square. If the given square is one side of a cube, the surface area of the cube will be 6 times the area of the square.…
Line 1 has equation y = 5x + 2 Write down the equation of a line parallel to Line 1. 7
Transversal Problems with Nov 01, 4:46:37 PM Equations = (Level 1) Given m∠ln, find the value of X. (5x + 19)° (6x + 1)°
If ABGD is a rectangle, find the length of AE. B 4x - 3 E 2x + Z A
Which graph best represents the feasibility region for the system shown above? (1 point) y^2 - 2 < 6 and J < 3x + 2 and Y < -x + 10
What angle relationship describes angles CBE and DEB? saifue JOU3IUI 31EUJBIIV Alternate exterior angles Corresponding angles Same-side interior angles
A 0S 120 2 XlIZu XLu Il c0L mKL Il
For the following line, name the slope and y-intercept. Then, write the equation of the line in slope-intercept form. Slope: Previous Y-intercept: Previous Equation: y =
Find the measure of the angle shown bold 8r - 261 - Angle Blank
Write the equation ofa line in y = mx + b form that has a slope of 2 and a y-intercept of 3. y =-3x - 2 y =3x - 2 B y = 2x + 3 Dy = ~2x + 3
Figures are not drawn to scale. 75 cm 3 cm 6 cm 4 cm
Graph the line with the equation y 5 8 I + 4 F10
On the grid, enlarge the triangle by scale factor centre (0,~2) 2
The line Lg has equation 4x + 2y = 3. Find the gradient of Lx. (2 marks)
Quadrilateral WXYZ is a rhombus and mLWYZ = 2a. What is the value of a? 1288
Triangle ABC has vertices A(-7,8), B(3, k), and C(8,5). Given that AB = 2BC, find the value of k.
Find the slope of each line below using the formula m = ΔY/ΔX. Write your solutions on your answer sheet.
What is the Rectangular Coordinate System? It is used for naming points in a plane, a two-dimensional plane which is divided by the x-axis and y-axis. This plane is used for graphing linear functions. It is used to determine the location of a point by using a single number. Which of the…
Label and plot the following on the number line below. Which point on the number line corresponds to the following? V9/ VTu5 V2s0 10
In the figure below, m∠1 = (r + 84) and m∠2 = 2x. Find the angle measures. m∠1 = 640 m∠2 = 116°
Cuts are made along dotted lines in an equilateral triangle to get a new shape as shown below: 10 cm 10 cm 10 cm 10 cm 10 cm 10 cm 10 cm 10 cm 10 cm 10 cm The perimeter of the new shape is compared to the perimeter of the original shape. What is the change in the perimeter of the original…
The function f(x) - 30x^2 + 51 represents the area and length of a side of the square. To find the binomial that represents the length of a side of the square, we need to take the square root of the function.
In Diagram 23, PQR is a straight line. Find the value of x. [3 marks] J8 L>S Jawapan/Answer: Diagram 23
Triangle GH is formed by connecting the midpoints of the sides of triangle DEF. The measures of the interior angles of triangle DEF are shown. Find the measure of angle EGH. (Note: Figures not necessarily to scale.) Answer: mZEGH Submit Answer
A Follow the maze by choosing the correct answer: THE SQUARE ROOT MAZE START √36 √144 V8I √121 √100 V25 V64 √121 √49 √100 V144 √64 68 FINISH √436 VSI V25
Derpusal Ul p.E uan D [dsmg-14sing quadrant at centre D. In the following diagram, ABC is a right triangle and BDE is the midpoint of the straight line AB and BC respectively. X cm = 1 B Unc 22. Given the area of the shaded region is 427 cm², calculate the value of x. Use T [2 marks]. Given…
Below is trapezoid ABCD with midsegment EF. What is the value of x? Enter an exact answer.
mL2 =x+85 328 0 ~8 ~7 8; 8 d 411
Find the slope of the line that passes through (10, 10) and (7 _ 14) .
I FG = GH = 81, FI = 0 + 27, and HI = 2c. What is the value of c?
Matches this graph? Which equation y = 4x + 1 Y = Y = () - 4
<ABC and <XYZ are complimentary_ If ABC
The length af the base an isosceles [nangle [5 x The length of_ The perimeter of the triangle Is 23 Find x
In the figure, CB and CD are tangents. (Check A4B and D) If CB > 10, what is CD? If m∠BAC, what is m∠BCA? mLBCD = 13, what is m∠BCA? m∠DCA.
J01 co 40 u 2 W n L LL 48 0[ 0 Enlarge triangle A by scale factor 2.5 with centre (0, 1)
2. {X + zye: 5 Intersecting Lines Parallel Lines Coinciding Lines
Answer the following question (1uid L) In the diagram, five small squares are shaded. "urnbs IICWIS Juol Juo ZpC4S that the diagram has exactly one line of symmetry - V 0 9 0
Oct 28, 10:35:23 PM Parallel - to PQ. If SR = 24, RQ = 28, and in the trapezoid below; ST is not necessarily drawn to scale: RT = 16, find the length of PR. Figures are.
0130048 (20 points): 34R #AE 4r 2 4T5" Travel 47 23
A.Y = 2x + 1 B. Y = 2* of the following: 26-35. Identify the slope and y-intercept respectively 32-33. Y = -6x - 3 m = b = 26-27. y = Ax - 5 34-35. y = x + 6 28-29. y = Zx n = 30-31. y = 2 m = _ m = b = M = 0 =
The distance of EF is V 146 Point E is (6, 4) and Point F is (x, -1)_ What is the missing y value of Point F?
Choose the correct statement about the answers to part (a). In each pair of proportions, the lengths of the sides of AABC are in the same ratio as the lengths of the sides of AXYZ. This is because we compared the sides of AXYZ that correspond to the sides of AABC, and the triangles are similar.…
Circle Z is intersected by AC and CE. What is the measure of AE? 26' Enter your answer in the box. mAE
In the diagram to the right, m∠LMN = 110°, m∠JKM = 127°, and m∠JNM = 105°. What is m∠NKM?
(OBMEP) Na figura abaixo, o ângulo a mede 50°. Qual é o valor do arco AB? a) 50° b) 25° c) 75° d) 35° e) 100°
Use the figure for Question 4-6. Find the measure of each angle: 4. ∠MCA 5. ∠me2 6. ∠mz3
Find the missing side of the right triangles below;
Find the length of the altitude of the triangle, 4 m 5m
Work out the perimeter of the shaded shape_ 3m 10m The diagram is not drawn to scale:
Solve for _ 3x + 5 3x - 4 31
Expressions Solve _(6)r-'+ 5 = by graphing: Round t0 the nearest tenth;
Find the length of AB to the nearest hundredth_ 14 m 80" 1=9.77 1=20 1-25 1=10.67
4. In Figure 2, if the perimeters of quadrilateral region A and triangular region B are each equal to 27, then * +y = (A) 9 12 15 8 18 24 B Figure 2
The graph of a Linear Equation in Two Variables is a vertical line. The slope is undefined.
Find the value of a in the diagram below. 0 + 1 a + 1 0 +1 69
Activity 1: Let's Explore! Graph each pair of linear equations on the Cartesian Coordinate Plane using rectangular coordinates. Label the graph and answer the guided questions in the slope-intercept form y = mx + b that follow. 1. x + y = 3 2. -y = -6 3. x - y = 5 4. 2x - zy = 250
In the diagram below, ∠PNO = 2∠ZPQR. Solve for z. Round your answer to the nearest tenth if necessary. Answer: Submit Answer
Find the area of triangle ABC, where ZC = 90°, a = 3, and c = 9. b) 0^2 c) 9√2 d) 0.6 9√10 9) 0.45
Graph the line that passes through the points (1, 6) and (2, 5) and determine the equation of the line.
V = √1 < 6 y < 3x + 0
Whut is the slope of thc line thal pusses through the points (~4,0) nnd (-1,-10)? Write Your answer in simplest [Orm
The length of a rectangular room is feet longer than twice the width. If the room's perimeter is 61 ft and the width is 22 ft, what are the room's dimensions?
At the halftime show, the marching band marched in a formation. The lead drummer started at a point with coordinates (5,0) and moved 2 steps up and 1 step right. Write a rule to describe the translation. What were the coordinates of the drummer's final position?
2 Sketch the unique triangles that can be made with angle measures 40" and IOO side length 3. How do you know You have sketched all possibilities? and
Hisevin was able to map quadrilateral EFGH onto EJGK using vertical stretch.
Which of the following shows the graph of a line whose slope is 3 through point (2, 197) and passes...
Graph each linear equation. Ixeryd 1Ye*e$
Cool Down Here is segment AB and a point of AB. Mark & point on the circle and label it D circle centered at C whose radius i9 the length Create a Draw line CD
Given that XY^2 + YZ, XV = I + 4, and VZ = 4x + 11, find XV.
19) Na figura a seguir, os segmentos AB são 3cm; AC = DB = 4cm; AD = CB = 12cm. Determine o valor do raio da circunferência.
Find the length of each arc. 7) 20 cm 1350
The length of a rectangular farm is 8 km. Given that the width is three times its length, find the diagonal of the farm dimensions in km. Give your answer correct to two decimal places.
4- Observe the following figure: a) Are the two angles OUP and SUT vertically opposite? Why not? b) Are the two angles OPU and RPQ vertically opposite? Why?
Explain Your reasoning: Match each inequality with its graph. Zx -y > Y < 2x - 2x < y + 6 2x - 6 <y
Classify the given measures of a triangle according to angles 30°, 45°, and 105°. A. right B. acute C. obtuse D. equiangular
A number line is a line that separates positive and negative numbers.
Graph the following Linear Equations m =! (2,1) 3 m =.4 (3.-4)
Graph the following on a number line: Inequality 11 ≤ x < -2 Graph 12 ≤ x ≤ 4 Graph 13 > x > 1
The equation of the line is y = mx + b, where m is the slope and b is the y-intercept. The given point is (8, -1; 63, 4).
What compound inequality describes this graph?
Find the unknown angle measures in each triangle SEE EXAMPLE 18. 519
Find the slope of the table 0,75 15 2.25 Mn=
Graph the equation y = T + √(Line + Unidla + Rrdio) - Reset 10 10 10
For given vectors (1,2,2) and v = (1,-2,1) in R? the Euclidean inner product value of < 2u,v > is OA -2 OB.2 None of the giveu answers is true
rectangle in the first quadrant of the Cartesian plane bounded by the and {e5 the graph of the parabola Determine the possible dimensions ol the rectangles ff its area is square units draw and label the figure
Determine the standard equation of the circles with the given properties. With C(-1,5) and passes through P(3,7)
Activity #13.3: Naming the Coordinates of Each Point Name the coordinates of each point: G, H, K, A, B, C, D, E 1. G: (4, 4) 2. H: (0, 1) 3. K: (2, -10) 4. A: (-8, 6) 5. B: (-7, 4) 6. C: (3, 3) 7. D: (2, -1) 8. E: (0, -2)
is approximately The area of a 12. The radius of & circle with area circular mouse pad is 51 square inches. Estimate its radius to the nearest integer;
Graph the inequality y < x^2. Is the point (-4, 10) in the solution set? Justify your answer. Is the boundary line drawn solid or dashed? Explain?
Find the slope m of the line in the graph below: Joty
Hence, Plot - the inequality 3x + 7 >x + 13 on the number Iine below:
Find the equation of line of the form y = mx + b that passes through the following pair of points. 1. P (2,3) Pz (3, 4) 2. P (5,-2) Pz (6, 3)
The side lengths of a triangle are 23, 25, and 46. Find the area of this triangle. (Answer in terms of simplest surd form)
35" 145" 180" Activity Use these angle rules t0 calculate the value of the missing angles
Diagonals of CK(4, -3), J(-2, 0), and vertices 21. A triangle has L(8, 8). Find the length of side JK. Find the length of the altitude from vertex L. Find the area of AJKL.
(3,0), (0,4) Given two points (X1, Y1) and (X2, Y2), what is the formula for the slope? 04 m dm "% p.m. What will be the value of y in the equation Y = Ax-8? 10
6.An isosceles triangle has an altitude equal to 12 inches and perimeter equal i0 36 inches: Find Ine lerigth of ihe base and the length ol Itie equal sides.
Write and expression for the PERIMETER of the figure in simplest form: 7X-6
Matching type: Match column A to column B. These are equations that can be transformed into quadratic equations. It is the solution of an equation derived from the original equation but not a solution. x(x+5) = 36 (x+1). The product of x and y. d* - 5x - 36 = 0. The sum of x and y. Extraneous…
Graph the line with the equation y = %2 +4
Determine if the triangles are similar and choose the correct postulate or choose not similar: AAS - Not Similar 5457 SSS -
Which statement is true for all squares? They always have parallel line segments, perpendicular line segments, and right angles. They sometimes have right angles. They always have perpendicular line segments and sometimes have parallel line segments. They always have parallel line segments and…
Construct a line segment PQ = 10 cm long: At Pand Q construct a 60* angle at each facing each other.
AvwX_ LX = ZW_ WX = 18 and VW = 16. Find the length of XV_.
Which form of linear equation in two variables is incorrectly noted? y = 3x (Slope-Intercept Form) 2x + 3y = 4 (Standard Form) 3x - 4y - 2 = 0 (General Form) 0 = 3x + (Standard Form)
This question has two parts. First, answer Part A. Then, answer Part B. Part A: Given RS = 24 centimeters and the diagram: 10 cm Set up an equation used to solve for the variable x. TYPE IN THE EQUATION below that you have set up.
11-15. Solve and show your solution: Circle your final answer: Find the slope of the line given pair of points: (4,7) & (9,7) Write your solution & answer here:
AnatI8 the solution (in #ot notation) represented by the graph on line right? (x/o 2 2 31 (rlo > , > J (0 <*$J Ulo <s < 31
Complete NCL
It is a straight line. In point-to-be form, that passes through the points (-6, 14) and (4, 71).
Find the dimensions of a rectangle if its length is 4 more than its width Its area is 621
The length of the rectangle can be expressed as 4 units and the width can be expressed as 2x^2 + 4x units. What is the area of the rectangle? x + 5
Graph the following features: Slope, Y-intercept.
Addeo 10 elementary angles is 26°. What are the two complementary angles with the given angle? (Hint: complementary angles are measures of the sum of 90°)
In ATUV, t = 19 cm, U = 43 cm, and v = 35 cm. Find the area of ATUV to the nearest tenth of a square centimeter.
Two sides of a triangle are equal in length. The length of the third side exceeds the length of one of the other sides by 3 centimeters. The perimeter of the triangle is 9 centimeters. Find the length of each of the shorter sides of the triangle.
Nols; Figures not drawn to scale: The angles shown above are acute and equal to cos(b"). If 4=4K - 22 and b =6k- 13, what is the value of A? A) 45 B) 55 C) 125 D) 2135 In this formula, an m At] pnld cnd nt anl $ 4(0 'RanildI the pressure of 4 1 # that @ Uw ne nture 0 4 } 4l Ja M d Me Diu7
The ratio of the length to the width of the dimensions of the rectangle is 5:4. The perimeter of the rectangle is 72 inches.
In the diagram below, TU is parallel to QR. If the length of QR is the same as the length of TS, and TU = 2, find the length of TS. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.
The trapezoids below are similar _ Solve for the indicated side length: 2I _ 22 32 Solve for side AD AD = [?] Round to the nearest whole number.
8.) The length ofa rectangle is m longer than 3 times its width: The area is 80 sq: m. Which ofthe following equations represents the area of the rectangle? x(37*1) + 80 = 0 b ) X(3x -1) + 80 = 0 c) 7 (8x + 1) = 80 d.) x (3x - 1) = 80
Using the graph determine a) Gradient of AB
What if you know the circumference? Can you find the diameter? Explain how you got your answer. Remember, guess and check if you don't have a formal method (guess and check is great for problem solving!) Circumference = 200cm Your answer:
3. Find the sum of the areas of two squares- Az= 3x+2 m? and Az= X-1 m?. Given thatx = 12. 3x+2 m?
In the diagram, the equation of the straight line ABCD is 4y = 3x + 24. Find the equation of CE.
Given a point P(x,y), if you change the sign of its X coordinate and y-coordinate, what will happen to the location of the point?
Using the given angles, complete the following construction using a compass and straightedge. DO NOT ERASE YOUR CONSTRUCTION MARKS! 1) Draw the angles as shown on a separate paper (Use a protractor and ruler to draw): ∠LA = 30°, ∠ZB = 60°. 2) Using your construction tools only (compass…
Given m, find the value of x. Answer: Human computation
0S 658 Fee 110? 58
What is the next step in the construction of an angle bisector of angle ABC? 0 A Use a straightedge to draw a line passing through points Dand E B. Use a straightedge to draw a line passing through points Aand € C. Use straightedge to draw & line passing through points Dand € D: Use a…
Test: Algebra 2A Unit 5 Test with Study Plan The area in square feet of a rectangular field is x2 120x 2700 The width, in feet, IS X = 30 What is the length, in feet? ho 4e
2.21. Given points A (1,0), B (-5,-6), C (-3,2), D (-2,3). Sketch/plot the given points and then determine what kind of quadrilateral this is, by substantiating with mathematical reasons. 2.2.1. 2.2.2. Find the perimeter of the polygon.
Study the diagram. All numerical values represent lengths of sides in cm. a) Explain why LABF is similar to LACD. b) Use the similar triangles to find the lengths of x and y (correct to one decimal place).
1
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1399
1400
1401
1402
1403
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1406