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3 years ago

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

Mathematics

2 answers:

Sauron [17]3 years ago

4 0

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

kolezko [41]3 years ago

3 0

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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