Answer:
- 78.33°
- 71°
Step-by-step explanation:
1) The sum of angles in a triangle is 180°, so ...
(x +3)° +(x +24)° +(x -10)° = 180°
3x +17 = 180 . . . . . . . . divide by °, collect terms
3x = 163 . . . . . . . . . . . .subtract 17
x = 54 1/3 . . . . . . . . . . .divide by 3
m∠B = (x +24)° = (54 1/3 + 24)°
m∠B ≈ 78.33°
__
2) An exterior angle is equal to the sum of the opposite interior angles.
m∠ACD = m∠A + m∠B
(3x -10)° = (x +9)° + 105°
2x = 124 . . . . . . . . . . . . . . divide by °, add 10-x to both sides
x = 62 . . . . . . . . . . . . . . . . divide by 2
m∠A = (x +9)° = (62 +9)°
m∠A = 71°
Answer:
22.0 inches
Step-by-step explanation:
Arc length = (2)(
)(radius)(
)
AR = (2)(3.14)(6)(210/360)
Multiply (2)(3.14)(6) to equal 37.60.
Then divide 210 by 360 to get 0.58333
Lastly multiply 37.68(0.58333) to get 21.98 inches which can be rounded to 22.0 inches.
Answer:
![132m^2](https://tex.z-dn.net/?f=132m%5E2)
Step-by-step explanation:
![3*4=12](https://tex.z-dn.net/?f=3%2A4%3D12)
![5*10=50](https://tex.z-dn.net/?f=5%2A10%3D50)
![4*10=40](https://tex.z-dn.net/?f=4%2A10%3D40)
![3*10=30](https://tex.z-dn.net/?f=3%2A10%3D30)
Add all these up
![12+50+40+30=132](https://tex.z-dn.net/?f=12%2B50%2B40%2B30%3D132)
Hope this helps
Answer:
Step-by-step explanation:
x+x+(x+12)=180
3x=180-12=168
x=56
third angle=56+12=68
so angles are 56°,56°,68°