(a) He would drive 96 km in an hour because 1152 divided by 12 is 96
(b) He is technically on schedule because he is driving 104 km per hour, instead of 96, so if he keeps driving at the same rate, he should get there in under 12 hours
Answer:
65 square root
Step-by-step explanation:
I’m smart
Answer:
1
Step-by-step explanation:
![( {6}^{ - 2} \times {6}^{5} ) ^{ - 3} \\ = ( {6}^{3} )^{ - 3} \\ = {6}^{0} \\ = 1](https://tex.z-dn.net/?f=%28%20%7B6%7D%5E%7B%20-%202%7D%20%20%5Ctimes%20%20%7B6%7D%5E%7B5%7D%20%29%20%5E%7B%20-%203%7D%20%20%5C%5C%20%20%3D%20%28%20%7B6%7D%5E%7B3%7D%20%29%5E%7B%20-%203%7D%20%20%5C%5C%20%20%3D%20%20%7B6%7D%5E%7B0%7D%20%20%5C%5C%20%20%3D%201)
Answer:
![w = 7](https://tex.z-dn.net/?f=%20w%20%3D%207%20)
Step-by-step explanation:
Given:
m<FGK = (7w + 3)°
m<FGH = 104°
angle bisector of <FGH = GK
Required:
Value of w
SOLUTION:
Since GK bisects angle FGH, it divides the angle into two equal parts. Therefore, the following equation can be generated to find the value of w:
m<FGH = 2*m<FGK
(substitution)
Divide both sides by 2
![\frac{104}{2} = \frac{2*(7w + 3)}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B104%7D%7B2%7D%20%3D%20%5Cfrac%7B2%2A%287w%20%2B%203%29%7D%7B2%7D%20)
![52 = 7w + 3](https://tex.z-dn.net/?f=%2052%20%3D%207w%20%2B%203%20)
Subtract 3 from each side
![52 - 3 = 7w + 3 - 3](https://tex.z-dn.net/?f=%2052%20-%203%20%3D%207w%20%2B%203%20-%203%20)
![49 = 7w](https://tex.z-dn.net/?f=%2049%20%3D%207w%20)
Divide both sides by 7
![\frac{49}{7} = \frac{7w}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B49%7D%7B7%7D%20%3D%20%5Cfrac%7B7w%7D%7B7%7D%20)
![7 = w](https://tex.z-dn.net/?f=%207%20%3D%20w%20)
![w = 7](https://tex.z-dn.net/?f=%20w%20%3D%207%20)