Question

A line parallel to a triangle's side splits AB into lengths of x - 7 and x - 3. The other side, AC, is split into lengths of x and x + 12. What is the length of AC?
A) 21
B) 33
C) 54
D)
21
2

Answer 1

Answer:

x = 2 or just 2

Step-by-step explanation:

x - 7 + x - 3

x + x = 2x

-7 + (-3) = -10

2x - 10

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x + x + 12

x + x = 2x

you dont change 12, you keep it the same.

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2x - 10 + 2x + 12

2x + 2x = 4x

-10 + 12 = 2

12 is greater so it is positive.

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2 + 4x

you have to get rid of the 4 so divide on both sides of the equation.

4x/4 = x

when you divide a number by the same number, it cancels itself out so then

4x is just left with x.

4/2 = 2

so [x = 2]