Answer:
________________
Step-by-step explanation:
<u>What</u><u> </u><u>you</u><u> </u><u>need</u><u> </u><u>to know</u>
- 
- 
- 
45° = [4x - 3]°
+ 3° + 3°
____________
![\frac{48°}{4°} = \frac{[4x]°}{4°} \\ \\ 12° = x](https://tex.z-dn.net/?f=%5Cfrac%7B48%C2%B0%7D%7B4%C2%B0%7D%20%3D%20%5Cfrac%7B%5B4x%5D%C2%B0%7D%7B4%C2%B0%7D%20%5C%5C%20%5C%5C%2012%C2%B0%20%3D%20x)
Then use the Triangular Interior Angles Theorem to find the 
then set that equal to the 
:
180° = 41° + 45° +
180° = 86° +
- 86° - 86°
______________
94° =
94° = [11y + 6]°
- 6° - 6°
__________
![\frac{88°}{11°} = {[11y]°}{11°} \\ \\ 8° = y](https://tex.z-dn.net/?f=%5Cfrac%7B88%C2%B0%7D%7B11%C2%B0%7D%20%3D%20%7B%5B11y%5D%C2%B0%7D%7B11%C2%B0%7D%20%5C%5C%20%5C%5C%208%C2%B0%20%3D%20y)
_______________________________________________
<u>What</u><u> </u><u>you</u><u> </u><u>need</u><u> </u><u>to know</u>
- 
- 
- 
90° = [13y - 1]°
+ 1° + 1°
______________
![\frac{91°}{13°} = \frac{[13y]°}{13°} \\ \\ 7° = y \\ \\ 90° = m∠R](https://tex.z-dn.net/?f=%5Cfrac%7B91%C2%B0%7D%7B13%C2%B0%7D%20%3D%20%5Cfrac%7B%5B13y%5D%C2%B0%7D%7B13%C2%B0%7D%20%5C%5C%20%5C%5C%207%C2%B0%20%3D%20y%20%5C%5C%20%5C%5C%2090%C2%B0%20%3D%20m%E2%88%A0R)
Then use the Triangular Interior Angles Theorem to find the 
then set that equal to the 
:
180° = 28° + 90° +
180° = 118° +
- 118° - 118°
______________
62° =
62° = [6z - 4]°
+ 4° + 4°
____________
![\frac{66°}{6°} = \frac{[6z]°}{6°} \\ \\ 11° = z](https://tex.z-dn.net/?f=%5Cfrac%7B66%C2%B0%7D%7B6%C2%B0%7D%20%3D%20%5Cfrac%7B%5B6z%5D%C2%B0%7D%7B6%C2%B0%7D%20%5C%5C%20%5C%5C%2011%C2%B0%20%3D%20z)
I am joyous to assist you anytime.
Answer:
Step-by-step explanation:
- <em>Refer to attached diagram (not to scale).</em>
- <em>Given details are reflected.</em>
<u>First find the measure of angle Q</u>
- m∠Q = 36° + (180° - 125°) = 91°
a) <u>Use law of cosines to find x:</u>
- x = √(160² + 200² - 2160*200*cos 91°) = 258 km (rounded)
<u>Use the law of sines to find the missing angles:</u>
- 258 / sin 91 = 160 / sin R = 200 / sin P
- m∠R = arcsin (160 sin 91° / 258) = 38°
- m∠P = 180° - (91° + 38°) = 51°
b) <u>Bearing P from R:</u>
- 360° - (55° + 38°) = 267°
c) <u>Bearing R from P:</u>
You’re finding the difference between the two numbers (subtraction). 1/4 is 0.25.
40.25 - 38.75 = 1.5
She worked one and a half more hours in the second week.
The answer would be 4,000
