Question

Given that ABCD
is a rectangle with AO=4x−3
and BO=5x−10
, what is the value of x?

(1 point)
Responses

x=7

x equals 7

x=−13

x equals negative 13

x=176

x equals Start Fraction 17 over 6 End Fraction

x=−43

Answer 1

In a rectangle the diagonals bisect and intersect at their midpoint, so AO = BO. Set 4x − 3 = 5x − 10.

Solve: 4x − 3 = 5x − 10 ⇒ 7 = x.

Thus x = 7.