1) In the diagram of a parallelogram, WXYZ the m< W = (2x +10) and m

Q: Mr. Tanner's construction class is studying the construction of roof trusses He taught them that the…

A: Use the given 4 figures to understand which of the following designs could be used to roof truss.…

Q: L. 4y – 2 - 2 M 2х + 10 |15 +х K 8—у N 'N,

A: Property of Parallelogram: Opposite sides are equal.

Q: In rhombus MATH, if ST = 3x + 3, and %3D MS =5x - 2. Find x.

A: Here given MAHT is a rhombus. ST=3x+3 MS=5x-2

Q: Suppose that Tis a point on side PQ of APQR. Also, RT bisects ZPRQ, and ZP = 2Q. If Z1 and 2 are the…

A: Consider triangle PQR, As RT bisect angle R, ∠PRT=∠QRT Given that ∠P=∠Q ∠RTP=∠1∠RTQ=∠2

Q: What is the missing value of x for the following trapezoid?

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Q: In the accompanying diagram, AB CD and intersects transversal GH at points E and F respectively.…

A: Consider the following figure: AB↔∥CD↔ GH↔ is transversal.

Q: Show that the pair of bisectors of the angles between the straight lines (ax+by)?=c(bx-ay)², c>0 are…

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Q: 3. If A, B, Care collinear with B between A and Cand AB = 5x+3 and BC = 3x-1 and AC= 18, what is the…

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Q: COAL is a parallelogram and mZ A= 100° If the bisectors of ZA and ZL mee II. at X what is the…

A: Opposite angles in parallelogram are equal and adjacent angles are supplementary to each other

Q: Show that the two triangles are similar. Y 85 X/45° 50° W v and ZYZX V. so AXYZ AUYW.

A: Here, in both the triangle angle Y is remain same. And angle Z=180-85-45=50 degree with is same as…

Q: In the diagram of AUVW below, A is the midpoint of UV, B is the midpoint of UW, C is the midpoint of…

A: Here we have to calculate lenth of vc ,

Q: Graph the Image of rhombus TUVW after a reflection across the line y = x. (v.x)

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Q: Evaluate | 36e dz, where C is the polygonal path consisting of the line segments from z = Oto z =…

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Q: Twice the measure of R is equal to the measure of s. If ZR and ZS are supplementary angles, what is…

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Q: What value for x would guarantee that the quadrilateral shown is a parallelogram? 2x Зх + 2 5x-6 2x…

A: We will find the value of x for which the given quadrilateral is a parallelogram.

Q: In APQR, PR is extended through point R to point S, mZPQR = (2x + 6)°, mZRPQ = (x - 7)°, and m2QRS =…

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Q: If a ray QT bisects ZRQS , what would be the measure of one of the resulting angles? R x+1) (3x- 5)

A: Given data: m∠PQR=3x-5∘m∠SQR=x+1∘

Q: Suppose that (a) points A, B, and C are collinear and (b) AB > AC. Which point can you conclude…

A: (a) A, B and C are collinear⇒ A, B and C lie on a straight line

Q: Suppose that points A, B, and C are collinear and AB>AC. Which point can you conclude cannot lie…

A: Given   (a) points A,B, and C are collinear and   (b) AB &gt; AC.

Q: 17. In parallelogram ABCD, if ED = 7x-213 and BD = 16x- 38, find BD. %3D B. C

A: Property of parallelogram:   The diagonals of parallelogram bisect each other. (17).  Using this…

Q: For what values of x and y must ABCD be a parallelogram.

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Q: Given the diagram below, what conclusions can you make if M2CBY = 65° and line XY bisects LABC? 65°

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Q: NC3,2)

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Q: Find the points on the cone 22 = x2 + y? that are closest to the point (1,3,0)

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Q: Three line segments AC, AB and BD shown in the figure have the lengths of 2, 3 and 5, respectively.…

A: Given: Three line segments AC, AB, and BD showed in the figure have the lengths of 2, 3, and 5,…

Q: 8. In parallelogram ABCD, if BC = 3x + 1 and AB = 4x - 2, find the lengths of BC and AD.

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Q: 6. ABCD is a trapezoid with median MN. If DC = 3x, AB = 2x2, and EF = 7, find x. M E A

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Q: Find the value of k, if the angle between the straight lines 4x – y +7=0 and kx – 5y – 9 = 0 is 45°…

A: Given,          The angle between the straight lines 4x-y+7=0 and kx-5y-9=0 is 45°.We know that,…

Q: Which of the following best describes the construction? B

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Q: R RSTU is a parallelogram. If M2TSV = 31° and M²SVT = 126°, explain how you can find the measure of…

A: Given data: *The angle TSV is m∠TSV=31° *The angle SVT is m∠SVT=126° The diagram below represents…

Q: The midpoint of AB is M(1, -4). If the coordinates of AA are (−3,−6), what are the coordinates of…

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Q: In the trlangle below, suppose that m2Q=(4x-9)°, mZR=(6x+ 2)°, and m2s=x°. Find the degree measure…

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Q: - If George measures that one triangular plot has BC- AC = 4.9 miles, and mzC = 78°, and the other…

A: Draw the both triangles and set the relation between them.

Q: In parallelogram PQRS, OP is extended to point T and ST is drawn. R T If ST = SP and mz R = 130°,…

A: In a parallelogram opposite angles are equal. Also the sum of angles in a triangle add to 180°. When…

Q: Let z=x+iy  Let w=a+ib

A: To prove the equality of the two given angles

Q: If ∆MNP is reflected across the line y = 2, then translated using the rule (x + y) → (x – 8, y – 1),…

A: We have been given the coordinates of the point P(7, 4) using the rule  (x + y) → (x – 8, y – 1).

Q: Now 1. Looking at the roof of Coolidge below, identify any corresponding sides. A

A: We have to find the corrsponding sides

Q: What value for X would guarantee that the quadrilateral shown is a parallelogram? 2x Зх + 2 5x – 6…

A: The parallelogram is a quadrilateral whose opposite sides are equal. It is observed that the length…

Q: If HK = u + 28 and JK = 5u, find the value of u in parallelogram GHIJ. %3D %3D K H. U = Submit

A: in the given parallelogram GHIJ diagonals intersect at K HK = u +28 JK = 5u

Q: Prove that the length of common chord of the two circles x + y² + 22x + c = (2² -c)(µ² +c) 2² + µ? O…

A: We will prove that the length of the common chord is the given term as following.

Q: In APQR, PR is extended through point R to point S, mZQRS = (7x + 8)°, mZRPQ = (x + 12)°, and mPQR=…

A: Given: In triangle PQR, PR is extended through point R to point S. Concept Used: Exterior angle…

Q: 1- The angle between the two planes 4y – 4x = 8, and 3y – 15x – 12 = 0 is А: 0° B: 45° C:84° D:34°

A: Given planes are: 4y-4x=83y-15x-12=0

Q: In the standard (x, y) coordinate plane, what is the length of RS given R(8, 5) and S(-1,3) ?

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Q: For what value of x must ABCD be a parallelogram?

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Q: 8. Determine the following for Parallelogram ABCD if MZBCD =118°, DC - 26 cm, BC 30 cm, AD x+2, AB…

A: We have to find the term

Q: In the diagram below of triangle RST, U is the midpoint of RT and V is the midpoint of ST . If mZT…

A: Triangle Question

Q: 4. In parallelogram ABCD, if ED = 7x – 13 and BD = 16x – 38, find BD. E A

A: In the parallelogram, Both diagonals Bisect each other

Q: 3. Solve the given line ar cystem by back cub ctitution. 2x2 143 = 2 「メ a. %3D 1人 = -5

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Q: , in general form (x + y2 + Bx + Cy + D = 0), centered a he lines 2x + y + 10 = 0 and x - 2y - 5 = 0…

A: We have to find the equation of a circle whose center is the point of intersection of,  2x+y+10=0…