12-14 please in detail

Step-by-step explanation:

12) looking at the right angle triangle,

x = hypotenuse

y = adjacent side

Opposite side = 4

To determine x, we would apply

the sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 30 = 4/x

x = 4/sin30 = 4/0.5

x = 8

To determine y, we would apply

the Cosine trigonometric ratio.

Cos θ, = adjacent side/hypotenuse. Therefore,

Cos 30 = y/8

y = 8Cos30 = 8 × 0.866

y = 6.93

14) looking at the right angle triangle,

hypotenuse = 22

y = opposite side

x = adjacent side

To determine y, we would apply

the sine trigonometric ratio.

Therefore,

Sin 45 = y/22

y = 22Sin45 = 22 × 0.7071

y = 15.6

x = y = 15.6 because the triangle is an isosceles triangle.

∠cbe and ∠deb are same-side interior angles.

i took the test

answer: they are supplementary angles

step-by-step explanation: 161+19=180. supplementary angles equal 180 degrees