The measure of x, AB, BC, and AC are 8, 69, 69 and 138 respectively
The point where two lines meet is known as an angle:
Given the following expressions
AB = 3(3x -1)
AC = 5(2x+2)
If B lies in the middle of AC then;
Hence;
AB + AB = AC
2AB = AC
2(9x-3) = 5(2x+2)
18x - 6 = 10x + 10
18x - 10x = 10 + 6
2x = 16
x = 16/2
x = 8
Get AB
AB = 9x - 3
AB = 9(8) - 3
AB = 72 - 3
AB = 69
Since AB = BC, hence the measure of BC os 69
Get the measure of AC:
AC = AB + BC
AC = 69 + 69
AC = 138
hence the measure of x, AB, BC, and AC are 8, 69, 69 and 138 respectively
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