The perimeters of similar triangles are in the same ratio as the corresponding sides.
always
sometimes
never

The perimeters of similar triangles are always in the same ratio as the corresponding sides.

Step-by-step explanation:

The perimeter of triangle is sum of all the sides of the triangle.

Let we have two similar triangles with a scale factor s

Therefore, if sides of one triangle are a,b, and c

then the sides of the second triangle are given  by : as, bs, and cs

Now, perimeter of first triangle, P = a + b + c

Perimeter of second triangle, Q = sa + sb + sc

⇒ Q = s × (a+ b+ c)

⇒ Q = s × P

Hence, The perimeters of similar triangles are always in the same ratio as the corresponding sides.

Therefore, the correct answer is ALWAYS

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

answer is 33

step-by-step explanation: