Question

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

(1 point)
Responses

x=7
𝑥
=
7

x equals 7

x=−13
𝑥
=
−
13

x equals negative 13

x=−43
𝑥
=
−
4
3

x equals negative Start Fraction 4 over 3 End Fraction

x=176
𝑥
=
17
6

x equals Start Fraction 17 over 6 End Fraction
Skip to navigation

Answer 1

In a rectangle the diagonals are equal and bisect each other, so AO = BO. Set 4x − 3 = 5x − 10.

4x − 3 = 5x − 10
10 − 3 = 5x − 4x
7 = x

So x = 7.