In the diagram below of triangle PQR, S is the midpoint of bar(PR) and T is the midpoint of bar (QR). If ST = 6x - 11, and PQ= -8x + 38, what is the measure of ST

Q: In the diagram below of triangle EFGEFG, HH is a midpoint of EF‾EF and JJ is a midpoint of FG‾FG. If…

A: From definition;        ∠JHF and ∠GEH are  equal      as H and J are mid point of…

Q: In triangle RST, RU = US and RV = VT, If UV, the midsegment, is equal to 2x-2 and ST= 8x - 28, find…

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Q: In the diagram below of triangle BCD, E is the midpoint of BD and F is the midpoint of CD.If EF = 47…

A: If ABC is a triangle with BC as a base and let EF be  mid segment of triangle ABC, then  EF is half…

Q: In the diagram below of triangle PQR, S is the midpoint of PR and T is the midpoint of QR.If ST = 6x…

A: Use the concept of mid points theorem in a triangle and solve the problem.

Q: In the diagram below of triangle BCD, E is the midpoint of BD and F is the midpoint of CD.If EF =…

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Q: In the diagram below of triangle EFG, H is the midpoint of EG and I is the midpoint of FG. If HI =…

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Q: Let a and b the lengths of the legs of a right triangle, and c be the length of the hypotenuse…

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Q: In the diagram below of triangle BCD, E is a midpoint of BC and F is a midpoint of CD. If EF = 6x…

A: Since, E is the midpoint of BC and F is the midpoint of CD. EF=12(BD)

Q: In the diagram below of triangle EFG, H is the midpoint of EG and I is the midpoint of FG .If mZGFE…

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Q: A 16. D Given similar triangles AABE and ABDC by the SAS АВ Similarity, where BC 6 what should be…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: In the diagram below of triangle STU, V is the midpoint of SU and W is the midpoint of TU. If VW =…

A: As W is midpoint of UT  and V is midpoint of US.   as per midsegment theorem. ST=2*VW

Q: The perimeter of triangle ABC is 40 cm. The length of segment BZ is 8 cm and the length of segment…

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Q: 4 The angle measures of a triangle are shown in the diagram. 500 (2x)0 (3x 10) - What is the value…

A: The sum of the three angles of a triangle is always 180°. That is,…

Q: Cn nup viaeo In the diagram below of triangle MNO, P is the midpoint of MO and Q is the midpoint of…

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Q: In Triangle DEF, an exterior angle at F is represented by 8x +15. If the…

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Q: In the diagram below of triangle K mi midpoint of LM. If NO = 3+7x, and KL= 4x + 16, what is the…

A: According to the triangle midsegment theorem, a midsegment connecting two sides of a triangle is…

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: In the diagram below of right triangle ABC, altitude BD is drawn to hypotenuse AC. B A D If BD = 4,…

A: In the question it is asked to calculate the length of side DC. Given: CD=x AD=x-6 BD=4

Q: The diagram below shows points P, Q, and R on circle S. The measure of LQSR is 110°. What is the…

A: We know that angle made by a cord on the centre of the centre of circle is double the angle on the…

Q: In the diagram below of triangle LMN,O is the midpoint of LN and P is the midpoint of MN .IFOP= –4+…

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Q: In AABC shown below, point X is the midpoint of side AB. point Y is the midpoint of side BC. and…

A: topic - triangles

Q: In the diagram below of triangle EFG, H is the midpoint of EG and I is the midpoint of FG.If MZGFE =…

A: Meeasureof angle GFE = 45

Q: In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint of FG. If MZJHF =7x…

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Q: The lengths of the sides of a triangle are 2x + 5, 3x + 10, and x + 12. Find all values of x that…

A: Given, the lengths of the sides of a triangle are 2x + 5, 3x + 10, and x + 12 For isosceles…

Q: A circle circumscribes a right triangle. The area of triangle is 43.23 and t the circle is 18. If…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: In parallelogram ABCD, the measure of angle A is (3x – 15)* and the measure of angle C is (2x +…

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Q: The measure of ZĆ is - A 10x 30 <6x + 6. D' C Remember to find x and plug it back in and find the…

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Q: Can a triangle have the following side lengths and perimeter: AB = 2x +7, BC = x² - x, CA = 3x, and…

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Q: In the diagram below of triangle PQR, S is a midpoint of PQ and T is a midpoint of QR. If mZSTQ = 65…

A: solution: the objective is to find required angle

Q: In the drawing below, triangle ABC is similar to triangle DEF. Which of the following is true about…

A: Given that  two triangles ABC and DEF are similar

Q: In isosceles triangle WXY, XY is 13 inches in length and WY is 10 inches in length. %23 Y What is…

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Q: The area of triangle BCD is one third the area of triangle ABC as shown. BD = 6 and AC= 20. Find the…

A: Given: BD=6AC=20∠A=30°area∆BCD=13area∆ABC By the sine law for area of a triangle, we have…

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

A: In a triangle RST, U is the midpoint of RT and V is the midpoint of ST.UV=29-3x and RS=-2+6xwe have…

Q: In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint of VW. If XY = 54 –…

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Q: This is a 30-60-90 triangle. What is the measure of x? V3 x = [ ? ]

A: Given that, the triangle is a 30-60-90 triangle. A 30-60-90 triangle is a special right triangle…

Q: ADEF is an isosceles triangle, ZD is the vertex angle, DE = 4x-7, EF = 3x + 2 and DF = 6x- 15. Solve…

A: Given, △DEF is an isosceles triangle with ∠D As the vertex angle. Therefore, DE= DF DE= 4x – 7 EF=…

Q: Right APOR has mZQ= 30°, and QR = 15. 30° 15 P. R The length of side PR is The length of side PQ is

A: Explanation and solutions is given below....

Q: . Are the two triangles similar? Justify your answer. R. 8 12 30 30 14 21

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Q: 24 The measures of the angles in triangle KLM are shown in the diagram below. (5x-4) 220 57 K- What…

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Q: In the following diagram, it is known that ZEHG is a right angle, mZEHF = x+1 and mZGHF = 5x+ 5.…

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Q: In the two triangles below, what value of x would make the triangles congruent? 5x-1 3(x+ 1) A 10 B…

A: We have given two triangles  Triangles will be congruent if and only if  5x-1=3x+1 5x-1=3x+3…

Q: In the diagram below of triangle OPQ, R is the midpoint of OQ and S is the midpoint of PQ. If RS =…

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Q: In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint of FG. If MZJHF = 7x…

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Q: In the diagram below of triangle PQR, S is the midpoint of PR and T is the midpoint of QR. If ST =…

A: Given  S is midpoint of PR¯T is midpoint of QR¯ ST=−9x+55PQ=7x+10

Q: The measures of two angles are (5x + 24) and (9x - 17)". What is the value of x if these angles are…

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Q: In the diagram of ABED below, FC||ED, BF=2, FE=8, and BC-5. What is the length of BD? B F C 8 E

A: By side splitter Theorem   if a line intersects two sides of a triangle and is parallel to the third…

Q: a x = d b C If angle a measures 7x degrees, and angle d is 145 degrees, what is a?

A: The given figure is:

Q: In the two triangles shown, mZA = mZD and %3D m2C = mZF. A 61 (5х — 8)°, - (4x + 4)° C F Do you know…

A: AA (Angle-Angle) Similarity : In two triangles, if two pairs of corresponding angles are equal, then…

Q: Triangle ABC is translated to create triangle DFG, as shown below. F 2y +12 cm 2(2y-3) cm 3(2x + 10)…

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Q: In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint of FG. If HJ = 9x –…

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