Answer:
#1
<u>Sum of interior angles is 180:</u>
- y = 180 - (42 + 31) = 107
<u>The law of sines:</u>
- x / sin 107 = 11 / sin 42
- x = 11 sin 107deg / sin 42deg
- x = 15.72
#2
<u>The law of cosines:</u>
- cos 76 = (6² + 17² - x² )/2(6)(17)
- 204*0.24 = 325 - x²
- x² = 325 - 48.96
- x² = 276.04
- x = √276.04
- x = 16.61
#3
<u>Same as above:</u>
- 2*9.4*10*cos 20 = (10² + 9.4² - x²)
- 176.66 = 188.36 - x²
- x² = 188.36 - 176.66
- x² = 11.7
- x = √11.7
- x = 3.42
#4
<u>Sum of interior angles is 180:</u>
<u>The law of sines:</u>
- x / sin 34 = 15 / sin 94
- x = 15 sin 34 / sin 94
- x = 8.41
Answer:
These two are congruent because they mirror each other in size and shape.
Step-by-step explanation:
21/10+5/10
Add nominators since denominators are the same.
26/10
Or 2 6/10 as a mixed number.
Answer:
5hours
Step-by-step explanation:
1 week =7 days
10 hr +20hr = 30 hrs
If you work 4hrs a wee k you will achieve only 28hrs of work so you will have to work for 5hrs to achieve 35hrs of work which is still within the bracket of 40hrs of work
In each job you will work for 2hours 30
minute
Each day you will earn $60.00
At tutoring you get $37.50
At sippy drink you will get $22.50
In a week you will get a maximum of $420.00