Answer:
2.1
Step-by-step explanation:
This involves trigonometry. Since we need to find the value of a, we need to find a trig equation with a as the numerator. Luckily, we have one, tan. So, tan(20) is equal to a/6, right. So, using a calculator, tan(20) is approximately equal to 0.363. This times 6 should equal a. This is approximately around 2.1. Thus our answer is 2.1
Answer:
Step-by-step explanation:
SAS = side- angle- side
It requires two sides and the included angle be congruent.
Given one congruent side and one congruent adjacent angle.
<u>In addition to what is given we need the other side be congruent too:</u>
h = t - 15
h + t = 33
Because we have a value of h, we can plug it into the second equation to solve for t.
t - 15 + t = 33
Add 15 to both sides.
t + t = 48
Combine like terms.
2t = 48
Divide both sides by 2.
t = 24
<h3>Thomas's age is 24.</h3>
Answer:
Angle BPQ = 64°
Step-by-step explanation:
4x + 12 +2x = 90
6x + 12 = 90
- 12 -12
6x = 78
x = 13°
BPQ = ((4(13) + 12)°
(52 + 12)°
64°