In the figure, RS = 6, RT = 4, and TU = 10. What is thelength of UV?%3DR.TV.Uo not enough information0 4o 150 9M

Name: In the figure, RS = 6, RT = 4, and TU = 10. What is thelength of UV?%
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Description: In the figure, RS = 6, RT = 4, and TU = 10. What is thelength of UV?%3DR.TV.Uo not enough information0 4o 150 9M

Answered: In the figure, RS = 6, RT = 4, and TU =…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter7: Applying Fractions

Section7.8: Work Problems

Problem 1OE

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In the figure, RS = 6, RT = 4, and TU = 10. What is the
length of UV?
%3D
R.
T
V.
U
o not enough information
0 4
o 15
0 9
M

Expert Solution

Step 1

solution

given values are

RS = 6, RT = 4, TU = 10

To find length of UV

We will use similarity

Now consider triangle ∆RST and ∆UVT

LTRS = LVUT(90 degree angle)

LRTS = LUTV (Vertically opp. Angle)

LTSR = LUVT (If in triangle two angles same then third will be same)

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