U and R are the midpoints of the legs, PT and QS, of trapezoid PQST. If PQ = -z + 70, RU = -z + 83, and ST = z + 20, what is the value of z? %3D R

Q: In the diagram, CD is the perpendicular bisector of AB. What is the value of C 7x-4 5x+6 D 3x+10 31…

A: In right angle triangle- Hypotenuse^2=base^2+height^2

Q: V and Y are the midpoints of the legs, UW and TX, of trapezoid TUWX. If WX = -3p + 19, VY = 6p + 5,…

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Q: K S Q R N M KLMN and PQRS are similar trapezoids. Which side of PQRS corresponds to NM ?

A: Given: Two trapezoids are similar that is KLMN≈PQRS To find which the side of PQRS corresponds to NM…

Q: In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint of VWIIF XY = 54 -…

A: Since ,   X & Y are midpointsof UV¯  & VW¯  respectivelythen XY = 12UW

Q: ABCD is a trapezoid. Find the value of x. * B. 3x° (5x - 20)° C 10 20 25 30 35

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Q: Determine the length of the diagonals of the isosceles trapezoid below when KL =h +7 and UE = 4h –…

A: In isosceles trapezoid  The diagonals are equal in measure.

Q: . The side of a rhombus is half the longer S1 IS diagonal. The height ofthe rhombus is 3 cm and the…

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Q: Find the length of the cardioid r=2+2cosθ.

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Q: Find the length of the midsegment of each trapezoid. 1) K. 5.8 H 12.2 A) 11 C) 6 B) 10 D) 9

A: To find: The length of midsegment of trapezoid. Formula used: The length of midsegment of trapezoid…

Q: E 50° C Find the value of x° in rhombus ABCD. O 40° O 45° O 50° 90

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Q: Use the picture of trapezoid ABCD below and the information given to a # 1. C E F 1. EF is a…

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Q: ABCD is a parallelogram. Find the values of x and y. Solve for the value of z, if z = x- y.

A: Opposite angle of parallelogram is are equal and same side angle sum is 180(co-interior angle are…

Q: Solve for x and y. Write and_justify the equations. Given: ABCD is a trapezoid. 7y + 12 cm 30 cm 2x…

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Q: Quadrilateral EFGH is an isosceles trapezoid, EG = 11w + 32, and FH = 15w. What is the value of w?…

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Q: For what value of y must LMNP be a parallelogram? M 68 P LMNP must be a parallelogram for y =

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Q: In trapezoid ABCD with median EF, DC= x + 2, AB= 3x – 6 and EF=20. Find the value of x.

A: Given data: The first given length is DC=x+2. The second given length is AB=3x-6. The third given…

Q: In the diagram below of triangle BC'D, E is a midpoint of BC and F is a midpoint of CD. If EF = 8x –…

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Q: Use the side-splitter theorem to solve for a in the triangle below. 10 6. T0 Answer: Submit Answer…

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Q: R RSTU is a parallelogram. If mzTSV = 31° and mzSVT = 126°, explain how you can find the measure of…

A: Given: RSTU is a parallelogram. m∠TSV=31o   and    m∠SVT=126o

Q: B is the midpoint of AC. If AB = x+5 and BC = 2x - 11, find the measure of AB. %3D A B 16 C 21 42

A: Given : AB=x+5BC=2x-11

Q: ABCD is a rhombus. The measure of ZB is (z+5), and the measure of ZC is 2x. Which statement explains…

A: Given that ABCD is a rhombus.

Q: Figure ABCD is an isosceles trapezoid. Find the value of x. + A8x-12 B X × = [ ? ] C 5x+9 Enter D

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Q: L 16 A 4х + 1 Y 10

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Q: In the diagram below of triangle BC'D, E is a midpoint of BC and F is a midpoint of CD. If EF = 4x –…

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Q: Find the value of t in rhombus GHJ. H. 5t-18° 4t-36°

A: Sum of adjacent angles in a rhombus is 180

Q: Graph the cardioid r a(1+ sino), a < 0?

A: The cardioid is given by, r=a(1+sinθ) and a&lt;0 Now as a less than than 0, a will be negative:so…

Q: RU is the midsegment of the trapezoid STVW. If VW = 25 and ST = 39, what is RU? %3D R W V U RU =

A: RU = 32

Q: S and P are the midpoints of the legs, RT and QU, of trapezoid QRTU. If QR = 4y + 3, PS = -5y + 82,…

A: theorem for trapezoids: a line connecting the midpoints of the two legs of a trapezoid is parallel…

Q: In the rhombus, m<1 = 170. Find the m<2 and m<3. %D

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Q: UX is the midsegment of the trapezoid STVW. If ST = 2z -99, UX = 2z - 85, and VW = z, what is the…

A: We are given that UX is the mid-segment of the trapezoid STVW.          By the property of…

Q: Solve V = - الدار for h, the height of the cone. O A. = 36 3V OB. h OC. h= OD. h. =

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Q: Given for a piece of land on the shape of an equilateral triangle Coordinates of corner A is (505,…

A: Given: ABC is an equilateral triangle. Coordinates of A: (505, 65) Coordinates of B: (470, 110) To…

Q: CD is the midsegment of trapezoid ABGF. If AB = 14.5 and GF = 17.5, find CD. %3D %3D Round your…

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Q: 4. For parallelogram ABCD, find the value of x. * B, Зх+ 20 C AL D 5х — 12 - O 4 О 16 O 10.25 O 21.5

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Q: In the accompanying diagram of trapezoid ABCD, AB = 26, BC = 10, CD = 18, CB 1 AB, and altitude DE…

A: Area in f the trapezoid

Q: CD is the midsegment of trapezoid ABGF. If AB 14.5 and GF 17.5, find CD. Round your answer to…

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Q: R and U are the midpoints of the legs, SW and TV, of trapezoid STVW. If ST = 2z - 30, RU = 5z - 90,…

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Q: Find the value of x. 25. rhombus WXYZ [A] 4 [B] [C] 27 [D] 18 5x.

A: Given the rhombus WXYZ with two sides of length 5x  and x+16.

Q: For what value of y must LMNP be a parallelogram? L M 74° 74° P N LMNP must be a parallelogram for y…

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Q: In the rhombus, m21 = 15x, m22 = x+y, and m23 = 9z. Find the value of each variable. The diagram is…

A: Consider the figure

Q: Figure QRST is a parallelogram. Solve for x. R. SO ° 14x +2 S. 0.7 2. O 4

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Q: LAMB is an isosceles trapezoid and XY is the midsegment. Find the value of x. 16 4х + 1 Y 10

A: LAMB is an isosceles trapezoid and xy is the midsegment. so XY=BM+LA2 XY=10+162 XY=13 4X+1=13 4X=12…

Q: In the diagram below of triangle UVW,X is a midpoint of UV and Y is a midpoint of VW. If m/Y XV = 3x…

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Q: Given for a piece of land on the shape of an equilateral triangle ( is ) that Coordinates of corner…

A: Given, Coordinate of corner A = (500, 70) Coordinate of corner B = (480, 112) To find the coordinate…

Q: WXYZ below is a parallelogram. If mzW mz2 3x+ 15°, solve for x. C. %D

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Q: U and R are the midpoints of the legs, PT and QS, of trapezoid PQST. If PQ = 2v -78, RU = v, and ST…

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Q: In the rhombus, mz1 = 18x,mL2 = x + y, m3 = 30z. Find the value of each variable. The diagram is not…

A: Given: A rhombus ,m∠1=18x, m∠2=x+y, m∠3=30z. Concept Used: The diagonals of rhombus bisect each…

Q: For the trapezoid shown below, the measure of the midsegment is, 22 36 a. C. 25 d. 30 9 005C 252 m

A: The answer is found in step-2

Q: V and Y are the midpoints of the legs, UW and TX, of trapezoid TUWX. If VY = 59 and TU = 78, what is…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.