The lines are perpendicular to each other because -8 and 1/8 are opposite reciprocal of each other. <span />
Answer:
-4
Step-by-step explanation:
-129 = 6(7 + 7x) - 3
Distribute the 6 into the parentheses.
-129 = 42 + 42x - 3
Add like terms.
-129 = 39 +42x
Subtract 39 from both sides.
-168 = 42x
Divide 42 from both sides.
-4 = x
Answer:
23°
Step-by-step explanation:
157° = D
D + C = 180°
157 + C = 180
(group like terms)
C = 180 - 157
C= 23°
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Answer:
34.22 liters
Step-by-step explanation:
Step one:
Given data
A car averages 28.5 miles per gallon of gasoline
How many liters of gasoline will be needed for a trip of 415 km
let us convert 415km to miles first
1 km is 0.621371 miles
415km is x miles
cross multiply we have
x= 415*0.621371
x=257.86 miles
Step two:
if 1 gallon of gasoline will cover 28.5 miles
the x gallons will cover 257.86 miles
cross multiply we have
28.5x= 257.86
divide both sides by 28.5
x= 257.86/28.5
x=9.04 gallons
Step three:
let us convert gallons to liters
1 gallon is 3.78541 liters
9.04 gallons will be x liters
cross multiply we have
x=9.04*3.78541
x= 34.22 liters