one angle of a linear pair is 10 more than two thirds the other angle. find the measure if both angles
1 answer:
Answer:
One Angle = 110°
Other Angle = 70°
Step-by-step explanation:
A linear pair means that two angles are in a straight line (or, a straight angle).
A straight line is 180 degrees.
THey are supplementary.
We can say one angle is "a" and another one is "b".
<em>One angle is 10 MORE THAN 2/3rds of the other, we can write:</em>
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<em>Also, since they are supplementary (add up to 180), we can write:</em>
<em>a + b = 180</em>
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We can now substitute 1st equation in this one and find b:
Since a + b = 180, we can write:
a + 110 = 180
so,
a = 180 - 110
a = 70
Thus,
One Angle = 110°
Other Angle = 70°
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Answer:
- y=250x+4000
- y=400x+400
Step-by-step explanation:
Given that:
- x represents the number of months of ownership; and
- y represents the total paid for the car after ‘x' months.
<u>First Option (Leasing)</u>
250x - y + 4000 = 0
Expressing the equation in the Slope-Intercept Form y=mx+b, we have:
y=250x+4000
<u>Second Option (Financing)</u>
$400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).
First, we determine the slope of the line joining (0,400) and (10,4400)
We have:
y=400x+b
When y=400, x=0
400=400(0)+b
b=400
Therefore, the Slope-Intercept Form of the second option is:
y=400x+400
<u>Significance</u>
- In the first option, there is a down payment of $4000 and a monthly payment of $250.
- In the second option, there is a down payment of $400 and a monthly payment of $400.
<u>Part B</u>
We notice from the graph that after 24 months, the cost for leasing and financing becomes the same ($10,000). Therefore, a consumer will be better off financing since the downpayment for leasing is higher.
<u>i.e </u>
- When x=0, y=$4000 for leasing
- When x=0, y=$400 for financing
