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Points A, B, C, and D lie on line segment AD. If AB = x, BC = x + 3, CD = twice the length of BC, and AD = 53, what is the value of x? What is the length of BC?

Respuesta :

joonlee03
x+x+2+(2(x+3))= 53
2x+3+2x+6=53
4x+9=53
4x=44
x=11
and BC=14

The value of x for the given line segment will be 11 and BC will be 14.

What is a line segment?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that

AB = x , AD = 53

AD = AB + BC + CD

53 = x + ( x +3 ) + 2(x + 3)

53 = 2x + 3 + 2x + 6

53 = 4x + 9

4x = 44

x = 11 hence x will be the 11 now

BC = x + 3 = 11 + 3 = 14 hence it will be the correct answer.

For more about line segment

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