the 2 equations given are vertical angles which mean they would equal the same.
Set the two equations to equal each other to solve for x:
6(x-2) = 3x+30
Simplify the left side:
6x-12 = 3x+30
Add 12 to eac side:
6x = 3x+42
Subtract 3x from each side"
3x = 42
Divide both sides by 3:
X = 42/3
X = 14
Now you know X, replace x with 14 in the equation for DHG:
DHG = 6(x-2)
6(14-2)
Simplify:
6(12)
Multiply:
72
Angle DHG is 72 degrees.
Answer:
Z is 66. If you want an explanation, I could give it to you, FYI.
The smallest is 1/(5+1) = 1/6 of the total length, so is (276 in)/6 = 46 in.
The largest is 5*46 in = 230 in.
The two pieces are 46 in and 230 in.
Answer:
C. 
D. 
Step-by-step explanation:
C. 
D. 
Answer:
The answer is 1 13/24 hours or 1 hour, 32.5 minutes
Step-by-step explanation:
Find a common multiple of the denominators 3 and 8, which would be 24. Convert the fractions:
7/8 x 3/3 = 21/24.
2/3 x 8/8 = 16/24
Add the two numerators = 37/24 or 1 13/24.
1/24 of an hour is 2.5 minutes, so 13/24 is 32.5 minutes.
The answer is 1 13/24 hours or 1 hour, 32.5 minutes
