Given ∆mtw is congruent to triangle ∆bgk, find the values of x and y.

Congruent triangles have equal side and angle measures.

The values of x and y 12 and 8

means that

So, we have:

Add 3 to both sides

Divide both sides by 4

Next, we calculate angle M using:

Recall that:

So, we have:

Substitute 45 for G

Subtract 86 from both sides

Recall that

So, we have:

Subtract 6 from both sides

Divide both sides by 11

So, we have:

and

Hence, the values of x and y are 12 and 8, respectively

Read more about congruent triangles at:

link

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5