Answer:
9. 66°
10. 44°
11. 
12. 
13. 27.3
14. 33.9
15. 22°
16. 24°
Step-by-step explanation:
9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:
120 + 80 = 200
360 - 200 = 160
12(5) + 6 = 66°
19(5) - 1 = 94°
94 + 66 = 160
10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:
68 x 2 = 136
180 - 136 = 44
11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:
a² + b² = c²
a² + 6² = 8²
a² + 36 = 64
a² = 28
a = 
a = 
12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:
a² + b² = c²
a² + 2² = 4²
a² + 4 = 16
a² = 12
a = 
a = 
13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:
Sin(47°) = 
x = 27.3
14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:
Tan(62°) = 
x = 33.9
15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:
cos(θ) = 52/56
θ = cos^-1 (0.93)
θ = 22°
16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:
sin(θ) = 4/10
θ = sin^-1 (0.4)
θ = 24°
Good luck!!
<span> x=8+4t
y=-1+8t
t = 0 x = 8 y = -1
</span>
t = 1 x = 12 y = 7
t = 2 x = 16 y = 15
Answer:
Step-by-step explanation:
![V=\frac{4}{3}\pi r^3~=>r=\sqrt[3]{\frac{3V}{4\pi}}=\sqrt[3]{\frac{3*260cm^3}{4\pi}}=3.96 \approx4](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3~%3D%3Er%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3%2A260cm%5E3%7D%7B4%5Cpi%7D%7D%3D3.96%20%5Capprox4)
Answer: 6) x= 17 Same side interior angles sum to 180.
7) x= 3 Alternate exterior angles are equal.
8) x= 35 Corresponding angles are equal.
9) x= 12 Alternate interior angles are equal
Step-by-step explanation:
6) x= Same side interior angles sum to 180.
53+(8x-9)= 180
44+8x= 180
Subtract 44 from both sides
8x= 136
Divide both sides by 8
X = 17
7) x= Alternate exterior angles are equal. 15x+29= 26x-4
Subtract 15x from both sides
29= 11x-4
Add 4 to both sides
33= 11x
Divide both sides by 11
X=3
8) x= Corresponding angles are equal.
4x+7= 6x-63
Subtract 4x from both sides
7 = 2x -63
Add 63 to both sides
70= 2x
Divide both sides by 2
X= 35
9) x= Alternate interior angles are equal
9x+37= 14x-23
Subtract 9 x from both sides
37= 5x -23
Add 23 to both sides
60= 5x
Divide both sides by 5
12=x
Let us use the following conversions:
1 cm = 10 mm
1 meter = 100 cm = 1000 mm
Given:
p = 800 mm
q = 200 cm = 2000 mm
r= 4 m = 4000
X = sum of the distance around each circle
X = p+q+r
X = 800+2000+4000
<span>X = 6800 mm or 680 cm or 6.80 m</span>