Question

Solve for x figures are not necessarily drawn to scale

Answer 1

x = 18

Explanation:

Since these triangles are similar, we can set up the following proportion:

`(8+12)/(12) = (30)/(x)`

`(20)/(12) = (30)/(x)`

Cross multiply:

20x = 360

Divide:

x = 18

Check our work:

We can check our work by plugging 18 back into the proportion and seeing if it makes sense:

`(20)/(12) = (30)/(18)\\\\(20)/(12) = 1(2)/(3)\\\\(30)/(18)= 1(2)/(3)`

It works ✓

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather