What is the value of x?
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x =
2.25 / 3 = x / 4 cross multiply
3x = 4 x 2.25
3x = 9 divide both sides by 3
x = 9 / 3
x = 3
Whenever we have an angle bisected like this...it sets up this relationship :
BD / BC = AD / AC
So
x / 4 = 2.25 / 3 multiply both sides by 4
x = 4 (2.25) / 3 = 9 / 3 = 3