The quadrilaterals ABCD and JKLM are similar. find the length x of MJ

x = 5.6

Step-by-step explanation:

So, lets first go over something:

What does it mean for two shapes to be similar?

It means that all their angles are the same, but their side lengths are different, or in other words, one triangle has a different ratio of side lengths to the other.

So how can we find this ratio difference?

We can take the lengths of the same sime on the two different traingles.

You could go with 4 : 3.2 or 2 : 1.6

When you simplfy this, you get 1 : 0.8

We can then find the value of x by multiplying the two ratios by 7, which is the side length of the similar triangle's unknown side:

7 : 5.6

This means that x = 5.6

Hope this makes sense!

Step-by-step explanation:

The quadrilaterals ABCD and JKLM are similar.

Therefore the ratio of corresponding sides is same:

Substitute and solve for x: