Trapezoid DEFG is shown below, with median ST. Find the length of DG. E 13 F S T 19 D ? G

Q: Find the measure of the angle x given that the triangles below are similar. H, D 500 E 50 G 800 F 3.…

A: Here we have to use the concept of similarity of triangle.

Q: IWor W T.

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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 – 44 –…

A: We have to find the side

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: 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: Given the two triangles are similar. A = 4m? 9m 3m Find the ratio of perimeters (red to blue) Find…

A: For two given similar triangles. Ratio of perimeters is equal to ratio of corresponding sides. And…

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: ADEF, the lengths of all three sides are known. Which equation can you use to determine the easure…

A: Given that:

Q: Find the length of the spiral r= 602, 0sos v21. The length of the spiral is (Simplify vour answer

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Q: Triangle LMN is similar to triangle PQR. If mLL = 35° and mLN = 20°, find mLQ? %3D M R

A: For two similar triangles, the angles are congruent and the sides are in proportion .

Q: Find the value of s in parallelogram DEFG. G 5+16 F D 35 % = Cukmik

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Q: EF is the midsegment of trapezoid ABCD. What is the length of EF? 3x-4 4s-5 EF

A: Given

Q: N. Triangle NPQ is an equilateral triangle. If its perimeter is 27, what is the length of NP + NQ?…

A: Triangle NPQ is an equilateral triangle. If its perimeter is 27, what is the length of NP + NO ?

Q: D 4 A E Given that BD is the length of the mid-segment What is the length of AE? 12 16

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Q: In the diagram of triangle DFG below, HE||GF= 10, HG=45 and De= 8. What is the length of DF? in the…

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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: PQ has a measure of 90° in OR. Find the length of PQ. 19. 20.

A: Solution 19 : Because PR and RQ are radius with same length.

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 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: 18 m 12 m The perimeter of the triangular is 80 m. The surveyor's tape bisects an angle. Find the…

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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: SIX is a right triangle with the measure of X=60° and the measure of I = 90°. If IX = 5, find the…

A: We use Trigonometry ratios

Q: The hypotenuse of a right triangle measures 25. Which could be the lengths of the legs? A. 3 and 4…

A: Soln∆ ABC is rightangle triangleAC = hypotenusLet x = one leg (B ase)      y = other leg…

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

A: We have to find measure of angle HJF.

Q: Find the radius of OQ. 4x + 4 A B 5 Q5 D 6х - 6 The radius of circle Q is units.

A: We saw the problem with the help of the properties of circle

Q: 16. Jenny's birthday cake is circular and has a 30 cm radius. Her slice creates an arc with a…

A: Topic- area of circular portion

Q: Given parallelogram EFGH, what is the length of side EF? E F 3x +6 27 H. 2r + 5 G.

A: Given:

Q: Square RSTV is inscribed in square WXYZ, as shown. V T i If ZT = 15 and TY = 20, find the following.…

A:

Q: In AGHI, ZH and sides h and g are known. Which equation can you use to determine the measure of ZG?…

A: We have to find

Q: A T √ B 10 0 -5- S C 5 What is the Perimeter of Triangle ABC? (Hint: measure of each segment. 10

A: perimeter

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: 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 of ADGF below, HE||GF, DH=6, DE=4, and EF=16. What is the length of DG? D H E 16 G F…

A: Given, HE||GF             DH=6            DE=4            EF=16Here, ∆DEH and ∆DFG are similar…

Q: In trapezoid TUVW below, median FG is drawn. Find the length of VU. 38 T W 7х — 4 F G U бх — 6 V…

A: Given, TUVW is a trapeziod.       UV=6x-6—1       FG=7x-4       TW=38     Also, given FG is…

Q: ASIX is a right triangle with the measure of x=F 60 and the measure of 41 = 90° If IX 5, find the…

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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= 4x +…

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Q: FG 1 OP, FG 24 cm, OP = 5 cm. What is the value of the radius r?

A: It is given that: FG¯⊥OP¯ FG = 24 cm OP = 5 cm r = ?

Q: 5. Triangle PQR is similar to triangle DEF as shown. 6 cm 6 cm 9 cm Which describes the relationship…

A: Consider two triangles △ABC & △PQR such that △ABC ~ △PQR If, then following results hold: 1)…

Q: In the diagram below of triangle CDE, F is a midpoint of CD and G is a midpoint of DE. If FG = 57 –…

A: We have to find the measure of CE.

Q: hat is Angle D? D. 9x + 15 6x G F

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Q: Find the mFH and mHG. H F. G 87° D The measure of arc FH is degrees. The measure of arc HG is…

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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: QSRT is a rectangle and mZSQR=55°. T 55° P S R The measure of angle SRT = The measure of angle STR =…

A: In rectangle QSRT, ∠SQR=55°

Q: E 16° This shape is a rectangle. What is the measure of angle ADE

A: In rectangle  angle ADC = 90 degree

Q: In the figure below trapezoid ABCD ~ trapezoid PSRQ. Find the length of AB. A 4y ft (Зу — 5) ft D P…

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Q: 9 Which shape has exactly 1 pair of sides that appears to be the same distance apart? A B. D 10…

A: 9. We have to find the figure that has exactly 1 pair of sides at same distance. Note that, distance…

Q: Trapezoid PQRS is shown below, with median WV. Find the length of W V. о 5.5 R W ? V P S 12.9

A: Known fact: In a trapezoid with base lengths a and b, the median on it will be parallel to the bases…

Q: Right triangle RST is shown below with the dimensions given in feet (ft). 17 ft T. 63 ft R Which is…

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Q: Quadrilateral QRST is a kite. What is PR? T. P 56 65 PR R.

A: Given:

Q: EF is the median of isosceles trapezoid ABCD. Find x. B Зх-52 E, х— 15, A А. 22 В. 18.5 D С. 42.5 D.…

A: