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Find the measure of the line segment indicated.
Assume that lines which appear tangent are tangent.
A) 10
B) 6
C) 14
D) 7

Find the measure of the line segment indicated Assume that lines which appear tangent are tangent A 10 B 6 C 14 D 7 class=

Respuesta :

calculista

Answer:

Option A. 10

Step-by-step explanation:

we know that

Applying the Intersecting Secants Theorem

[tex]QS*RS=CS*TS[/tex]

substitute the values

[tex](11x-1+8)*(8)=(9+7)*(9)[/tex]

solve for x

[tex](11x+7)*(8)=(16)*(9)[/tex]

[tex]88x+56=144[/tex]

[tex]88x=144-56[/tex]

[tex]88x=88[/tex]

[tex]x=1[/tex]

Find the measure of QR

[tex]QR=11x-1=11(1)-1=10[/tex]

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