Answer:
8. ∠1=118° ∠2=118°
9. ∠1=72° ∠2=108°
10. ∠1=127° ∠2=127°
Step-by-step explanation:
8. In this problem, 118° is corresponding to ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, meaning that together, they equal 180°. So, to get ∠2, you must subtract 118° from 180°
9. In this problem, 72° is same side interior with ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, so you do 180°-72°= 108°
10. In this problem, ∠1 is vertical angles with 127°, making them equal to each other. ∠2 is corresponding with 127°, making them also equal.
Using the cosine function:
Solve for b:
![\begin{gathered} b=16\cdot\cos (45) \\ b=8\sqrt[]{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%3D16%5Ccdot%5Ccos%20%2845%29%20%5C%5C%20b%3D8%5Csqrt%5B%5D%7B2%7D%20%5Cend%7Bgathered%7D)
Answer:
Step-by-step explanation:
What is the length of the apothem, rounded to the nearest inch? recall that in a regular hexagon, the length of the radius is equal to the length of each side of the hexagon. 4 in. 5 in. 9 in. 11 in.
Simplify them until they can be simplified no more, then compare both sides.
18 (goes down): 17, 16, 15
12 (goes up): 13, 14, 15
The shortest height at which the two stacks of boxes will be the same height is 15.
Hope I was able to help!
