Answer:
parallel
Step-by-step explanation:
Same slope means they are parallel lines
Answer/Step-by-step explanation:
Given:
m<EFH = (5x + 1)°
m<HFG = 62°
m<EFG = (18x + 11)°
Required:
1. Value of x
2. m<EFH
3. m<EFG
SOLUTION:
1. Value of x
m<EFH + m<HFG = m<EFG (angle addition postulate)
(5x + 1) + 62 = (18x + 11)
Solve for x using this equation
5x + 1 + 62 = 18x + 11
5x + 63 = 18x + 11
Subtract 18x from both sides
5x + 63 - 18x = 18x + 11 - 18x
-13x + 63 = 11
Subtract 63 from both sides
-13x + 63 - 63 = 11 - 63
-13x = -52
Divide both sides by -13
-13x/-13 = -52/-13
x = 4
2. m<EFH = 5x + 1
Plug in the value of x
m<EFH = 5(4) + 1 = 20 + 1 = 21°
3. m<EFG = 18x + 11
m<EFG = 18(4) + 11 = 72 + 11 = 83°
Answer:
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
There are 8 pints in a gallon, so 5 1/2 gallons is (5.5)(8 pints) = 44 pints.
If 5 remain, then 44-5 = 39 were spilled.
39 pints of water spilled from the bucket.
9514 1404 393
Answer:
B. 3b -0.51b
Step-by-step explanation:
The factor outside parentheses multiplies each term inside parentheses.
3(b -0.17b) = 3(b) +3(-0.17b) = 3b -0.51b . . . . note the minus sign
The term 3b represents the original price of 3 loaves of bread.
The term -0.51b represents the total discount on the price of 3 loaves of bread.