Point B is on line segment AC . Given AB=3x,AB=3x, BC=4x+8,BC=4x+8, and AC=5x+10,AC=5x+10, determine the numerical length of AC
2 answers:
Answer:
AC = 15
Step-by-step explanation:
Point B is on line segment AC .
Given
AB=3x
BC=4x+8,
AC=5x+10
determine the numerical length of AC
3x 4x+8
A-----------------------------B----------------------------------C
|<----------------------------5x+10 --------------------------->|
AB + BC = AC
3x + 4X + 8 = 5X + 10
combine like terms:
3x + 4x - 5x = 10 - 8
simplify:
2x = 2
x = 2 / 2
x = 1
solve for AC
AC = 5x + 10
AC = 5(1) + 10
AC = 15
Answer:
AC = 15
Step-by-step explanation:
3x + 4x + 8 = 5x + 10
7x + 8 = 5x + 10
2x + 8 = 10
2x = 2
x = 1
5(1) + 10 = 15
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