Answer:
28
Step-by-step explanation:
if (AB and DC) parallels lines than the equation is alternate interior and therefore congruent to each other
Answer:
f = -15
Step-by-step explanation:
Step-by-step explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
Let's start with #12. The hypotenuse is 18. The side adjacent to ∠B is 6. Since we have the adjacent side and hypotenuse, we should use cosine.
cos B = 6/18
Solving for B:
B = cos⁻¹(6/18)
Using a calculator:
B ≈ 70.5°
Now let's do #14. The side adjacent to ∠B is 19, and the side opposite of ∠B is 22. Since we have the adjacent side and opposite side, we should use tangent.
tan B = 22/19
Solving for B:
B = tan⁻¹(22/19)
Using a calculator:
B ≈ 49.2°
10 degrees is in a 90 degree angle
90-10 =80
use sin
sin(80)=9/x
get x alone
x=9/sin(80)
The length of a side is 18.
Here is my work attached: