Question

Can someone solve for x? And maybe explain it in a simple way?

Answer 1

x=10

Explanation:

You can set it up as a proportion, since the lines are parallel, the sections are proportionate to each other.

`(x)/(12) = (x+5)/(18) \\18x=12(x+5)\\18x=12x+60\\6x=60\\x=10`

Answer 2

x=10

Explanation:

Because of the two parallel lines, the ratio between the sides must be the same. Since the bottom is 12 to 18 (a ration of two to three) we know that x and x+5 would have the same ratio. Logically, x would have to equal 10 so that x+5 would equal 15 and a ratio of two to three would exist there too. If you go to solve a problem and the answer isn’t obvious, jut set up a ratio.

12/18=x/(x+5)

then cross multiply and solve

12(x+5)=18x

12x+60=18x

60=18x-12x

60=6x

10=x