Question

Find the measure of KL A. 10 B. 5 C. 7 D. 8

Answer 1

Answer:

$ML=9,MN=8$

$MK=ML+LK$

$9+-3+x$

$=9-3+x$

$MK=6+x$

$ME=MN+NE$

$ME=8+x$

Now using Secant secant theorem:-

$ML*MK=MN*ME$

$9(6+x)=8(8+x)$

$54+9x=64+8x$

Subtracting 8x and 54 on both sides:-

$54+9x-8x-54=64+8x-8x-54$

$x=10$

$KL=-3+x$

$KL=-3+10$

$KL=7$

so, your answer is C) 7

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hope it helps....