Middle School

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Examine the diagram of circle V, where two chords, JK and LM, are equidistant from the center. If [tex]JK = 4x + 37[/tex] and [tex]LM = 5(x + 5)[/tex], what is the value of [tex]x[/tex]?

A. 8
B. 12
C. 14
D. 16

Answer :

Answer:

x=12

Step-by-step explanation:

we know that

If the two chords are equidistant from the center of the circle, then the chords must be congruent.

so

JK=LM

substitute the given values

[tex]4x+37=5(x+5)[/tex]

solve for x

[tex]5x-4x=37-25\\x=12[/tex]

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