Step-by-step explanation:
Here
5x+16+7x-3+6x+5 = 180(being sum of triangle)
or, 18x=180-18
or, x= 162/18
so, x = 9
now,
here,
<ACD = <ACB(diagonals of parallelogram bisect eachother)
or, <ACD = 7x-3
or, <ACD = 7×9-3
or, <ACD = 63-3
So, <ACD = 60°
Answer:
3/8 cups
Step-by-step explanation:
Divide both sides by 2 to get the value for 1/3 cup of water:
1/3 cup water = 1/8 cup of oil
Now, multiply each side of the equation by 3 to get 1 cup of water:
1 cup water = 3/8 cup of oil
hope this helps!
Answer:
M is not parellel to N because they do not create supplementary angles with the lines that it passes through.
J and K are parallel to each other because they create supplementary angles with line m
supplementary angles add up to 180 and if parallel lines create supplementary angles with the line they cross then they are parallel to each other if that makes sense
105+75=180
Step-by-step explanation:
Answer:
a) -3 gallons per hour
b) y = -3x +14
Step-by-step explanation:
Rate of change is computed by dividing the amount of change by the interval over which it occurred.
<h3>a)</h3>
Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.
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<h3>b)</h3>
The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...
y = -3x +14 . . . . gas in the tank after x hours
