The answer to this problem

x = 12°

y = 1.4 cm

Step-by-step explanation:

1. Because the two triangles are similar, their corresponding angles are congruent.

so

3x + 14 = 50

Subtract 14 from both sides

3x = 36

Divide both sides by 3

x = 12

x = 12° (remember units)

Check work:

3(12) + 14 = 50

36 + 14 = 50

50 = 50

2. Because the two triangles are similar, their corresponding sides are in equal proportion.

Two sides of triangle ABE are

5.6 and 4

And two corresponding sides of triangle ACD are

5.6 + y and 5

So

5.6 / 4 = (5.6 + y) / 5

Cross multiply

5.6 * 5 = 4(5.6 + y)

Multiply 5.6 * 5 on the left

28 = 4(5.6 + y)

Distribute the 4 to each term

28 = 4*5.6 + 4*y

Simplify the right side

28 = 22.4 + 4y

Subtract 22.4 from both sides

5.6 = 4y

Divide by 4 on both sides

1.4 = y

y = 1.4 cm (remember units)

Check our work:

5.6/4 = (5.6 + 1.4)/5

1.4 = 7/5

1.4 = 1.4

what the question so we can you out

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.