Answer:
Angle 4 = 135, angle 5 = 45
Step-by-step explanation:
Consecutive interior angles are supplementary, therefore angle 5 + angle 8 = 180 degrees. Since the complement of 5 is the supplement of 4, we can write the system of equations.
180 - x = 90 - y or -x + y - 90 - 180 or -x + y = -90 or x - y = 90
x + y = 180
x - y = 90
Where angle 4 is x and angle 5 is y.
y = 180 - x
x - (180 - x) = 90
x - 180 + x =90
x + x = 270
2x = 270
x = 135
By plugging that in to an equation we can solve for y.
y = 45
Answer:
20%
Step-by-step explanation:
465 - 372 = 93
93/465 = 0.2
0.2 × 100 = 20
Hope this helps !
8.50+23.25+18+10.75 +x /5=14
Multiply both sides by 5.
60.50. + x =70
Subtract 60.50 from both sides
X= 9.50. The other candy bar costs 9.50
Given:
The expression is
To find:
The value of given expression.
Solution:
We have,
![[\because \cos^{-1}(-\theta)=\pi -\cos^{-1}\theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ccos%5E%7B-1%7D%28-%5Ctheta%29%3D%5Cpi%20-%5Ccos%5E%7B-1%7D%5Ctheta%5D)
![[\because \cos \dfrac{\pi}{3}=\dfrac{1}{2}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ccos%20%5Cdfrac%7B%5Cpi%7D%7B3%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5D)
![[\because \tan(\pi-\theta)=-\tan \theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ctan%28%5Cpi-%5Ctheta%29%3D-%5Ctan%20%5Ctheta%5D)
![[\because \tan \dfrac{\pi}{3}=\sqrt{3}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ctan%20%5Cdfrac%7B%5Cpi%7D%7B3%7D%3D%5Csqrt%7B3%7D%5D)
Therefore, the value of given expression is 
.
Factors of 3771 are:
1, 3, 9, 419, 1257, 3771
Factors of 3298 are:
1, 2, 17, 34, 97, 194, 1649, 3298
As you can see, no factors goes into both number.
Therefore, there should be no number goes into both 3771 and 3298 evenly.
Hope this helps and hope I didn't misunderstood this question. :D
