The value of x will be 6
<u><em>Explanation</em></u>
According to the below diagram, UW is the angle bisector of ∠TUV
<u>That means,</u> 
Given that,
and 
So, the equation will be......

So, the value of x will be 6.
Answer:
Make it an y=mx+b equation. -3y=-4x+12
Divide everything by -3
Answer is y=4/3x-4
Step-by-step explanation:
#5) 7.065 sq. ft.
#6) 36 ft
#7) 200.96 sq. ft.
#8) 176.625 sq. ft.
Explanation
#5) Converting 18 inches to feet, 18/12 = 1.5. The area of the circle would be given by A=3.14(1.5)² = 3.14(2.25) = 7.065 sq. ft.
#6) The radius is 18 inches, so the diameter is twice that: 18*2 = 36 inches. Converting this to feet, we have 36/12 = 3 feet. Each stone is 3 feet across. Laying 12 of them against each other would give us a total length of 12*3 = 36 feet.
#7) The radius of the entire mirror with frame is 20/2 = 10. The area of the entire mirror with frame is A=3.14(10²) = 3.14(100) = 314 in².
The area of the mirror without the frame is A=3.14(6²) = 3.14(36) = 113.04 in².
The difference between the two will give the area of the frame:
314-113.04 = 200.96 in²
#8) The area of the circular region is given by A=3.14(7.5²) = 176.625 ft²
The number of half-hour sittings needed to watch all the shows by Devon is 11
<u>Solution:</u>
Given, Devon records 4 hours of reality shows on her DVR
she records comedy shows for 3/8 of that amount of time.

Devon watches all the reality and comedy shows in half-hour sittings.
We have to find the number of half-hour sittings needed to watch all the shows
Now, number of half hour sittings is given as


Hence Devon needs 11 sittings