edithlera2000
Answered

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I NEED HELP !!!
Find the measure of SR.

A.10
B.8
C.7
D.11

I NEED HELP Find The Measure Of SR A10 B8 C7 D11 class=

Sagot :

briannajohnson6897
Please look at the picture to see how to do it
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The measure of SR is 10.

The given figure has two secant segments and two external segments.

QU = secant segment

QS = secant segment

QP = external segment of QU

QR = external segment of QS

We need to find the measure of SR.

What is the theorem when two secant segments share the same endpoint outside a circle?

It states that the product of the length of one secant segment and the length of its external segment equals the product of the length of the other secant segment and the length of its external segment.

Applying the secant theorem in the given figure.

QU x QP = QS x QR

( 9 + 7 ) x 9 = (8 + 3X-5) x 8

16 x 9 =  (3 + 3X) x 8

144 = 24 + 24X

144 - 24 = 24X

120 = 24X

X = 120 / 24

X = 5

Now Putting X = 5 in SR = 3X-5

We get,

SR = 3 x 5 - 5

SR = 15 - 5

SR = 10

After applying the secant segment theorem we got the measure of SR as 10.


Learn more about secant segments in a circle here:

https://brainly.com/question/18760361

#SPJ5

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