Answer:
m∠YWZ = 36°
Step-by-step explanation:
* Lets explain how to solve the problem
- Point Y is in the interior of ∠XWZ
- Rays WX and WZ sre opposite rays
- That means rays WX and WZ formed a straight angle
- m∠XWY = 4(m∠YWZ)
- We need to find the m∠YWZ
* Lets solve the problem
∵ Rays WX and WZ are opposite rays
∴ ∠XWZ is a straight angle
∵ The measure of the straight angle is 180°
∴ m∠XWZ = 180°
- Point Y is in the interior of ∠XWZ
∴ m∠XWZ = m∠XWY + m∠YWZ
∵ m∠XWY = 180°
∴ m∠XWY + m∠YWZ = 180° ⇒ (1)
∵ m∠XWY = 4(m∠YWZ) ⇒ (2)
- Substitute equation (2) in equation (1)
- That means replace m∠XWY by 4(m∠YWZ)
∴ 4(m∠YWZ) + m∠YWZ = 180
∴ 5(m∠YWZ) = 180
- Divide both sides by 5
∴ m∠YWZ = 36°
Answer:
• let f(x) be m:
• make x the subject of the function:
![{ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}](https://tex.z-dn.net/?f=%7B%20%5Crm%7B8m%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20%2B%20128%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7B%20%7Bx%7D%5E%7B3%7D%20%3D%208m%20-%20128%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7B%20%7Bx%7D%5E%7B3%7D%20%3D%208%28m%20-%2016%29%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7Bx%20%3D%20%20%5Csqrt%5B3%5D%7B8%7D%20%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B%28m%20-%2016%29%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7Bx%20%3D%202%20%5Csqrt%5B3%5D%7B%28m%20-%2016%29%7D%20%7D%7D)
• therefore:
Answer:
4(3x-2)
Step-by-step explanation:
Have a great day :)
Answer:
AC = 28 feet
Step-by-step explanation:
Point C is the midpoint of AB, so AC is half the length of AB:
AB/2 = (56 ft)/2 = 28 ft = AC
