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Point B is on line segment AC. Given AB = 2a + 10, BC= a, and AC = 5a,

determine the numerical length of AC.

User Leela
by
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2 Answers

3 votes

Ans

We know that,

AC = AB + Bc

AB = 2x + 10, BC = x, and AC = 5x,

5x = 2x + 10 + x

5x = 3x + 10

2x = 10

x = 5

So,

AC = 5x

AC = 5(5) = 25 units.

thereforex=25

User Deepak Yadav
by
8.0k points
2 votes

Answer:

Since AC is made up of AB and BC,

AB + BC = AC

(2a + 10) + a = 5a

3a + 10 = 5a

2a = 10

a = 5

Subt value of a into AC

AC = 5(5) = 25

User Misterbassman
by
8.3k points

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