Answer:
-4
Step-by-step explanation:
simplify both sides of the equation, subtract 4n from both sides, add 16 to both sides, divide both sides by -3
Answer:
29) x = 17
30) x =14
31) x = 23
32) x = 44
Step-by-step explanation:
29)
6x - 17 = 85
6x = 102
x = 17
30)
4x + 21 + 103 = 180
4x + 124 = 180
4x = 56
x = 14
31)
2x + 23 = 4x - 23
-2x = - 46
x = 23
32)
4x - 42 = 134
4x = 176
x = 44
Answer:
14 ft
Step-by-step explanation:
Given:
- Bedroom is 4 ft longer than it is wide.
- Area is 252 ft².
Let x = width of the bedroom:
- width = x ft
- length = (x + 4) ft
Therefore:

To find the value(s) of x, complete the square.
Add the square of half the coefficient of the term in x to both sides:


<u>Factor</u> the perfect trinomial on the left side:

<u>Square root</u> both sides:


Therefore:


As width cannot be negative, the width of the room is 14 ft.
Answer:
∠WVR = 156
Step-by-step explanation:
Angles in triangle add up to 180 - SEE ATTACHMENT - LEFT TRIANGLE
∴ ∠SRT + RST + RTS = 180
∴ ∠SRT + 109 + 47 = 180
∠SRT = 24
Alternate Angle Theorem - SEE ATTACHMENT - RIGHT TRIANGLE
∠SRT = 180 - ∠WVR
24 = 180 - ∠WVR
24 - 180 = - ∠WVR
-156 = - ∠WVR
∠WVR = 156