Answer:
x=-14
Step-by-step explanation:
-2(x-8)+4x= -12
-2x+16+4x=-12
2x=-28
x=-14
Answer:
Step-by-step explanation:
Triangle ABC is a 45-45-90 right triangle. That means that segment BC also measures 10.
The big triangle as a whole is a 30-60-90. The side length across from the 30 degree angle is 10, so the whole length of BD is 10√3. However, since we already have the length of BC as 10, then segment CD measures
10√3 -10 which is 7.32
Since the slope is -2 we know that m=-2. Now use the standard form of y=mx+b and plug in the coordinates (-8,2). We know y=2, x=-8, and m=-2. Therefore we get 2=-2(-8)+b. Now solve for b and you get -14. Therefore, the equation is y=-2x-14.
Hope this helped!
Answer:
14)
21√2
15)
Leg: 7√3
Hypotenuse: 14
Step-by-step explanation:
The hypotenuse is √2 as long as each leg. That means the leg is 42/√2. Simplified to make 21√2.
The hypotenuse is always twice as long as the shortest leg on a 30-60-90 triangle. The longer leg is √3 as long as the shortest side.
Answer: 5'4".
Step-by-step explanation: Simply divide 64 by 12, resulting in 5.333. 4÷12 is .333, meaning the remaining inches is 4.
