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:

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.