Question

If line n bisects segment CE, find the positive value of x.

A.6
B.10
C.15
D.9

Answer 1

9514 1404 393

Answer:

D. 9

Explanation:

The segment lengths are equal, so ...

x^2 = 90-x

x^2 +x -90 = 0 . . . . . . add x-90 to put in standard form

(x +10)(x -9) = 0 . . . . . factor

The solutions are the values of x that make the factors zero: -10, 9.

The positive value of x is 9.