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kramer
4 years ago
13

19. Find m a.) 63 b.) 117 c.) 73 d.) 107

Mathematics
1 answer:
Kay [80]4 years ago
6 0

For this case we have a pentagon shown, that is, it has 5 sides. By definition, the sum of the internal angles of a pentagon is given by:

540 degrees

So:

96 + 118 + 104 + x + 115 = 540\\433 + x = 540\\x = 540-433\\x = 107

Now we have to:

A + x = 180\\A = 180-x\\A = 180-107\\A = 73

Answer:

Option C

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Maxine can swim 240 meters in 4 minutes. What is Maxine's unit rate?
BabaBlast [244]
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B) 4.5 minutes.
Step-by-step explanation:
A) Maxine can mow one lawn in 24 minutes, so the rate of work is:
1/24 of the lawn per minute.
Sammie can mow one lanw in 36 minutes, so the rate of work is:
1/36 of the lawn per minute.
The amount of the lawn that each has left to lawn by the minute x is:
Maxine = 1 -(1/24)*x
Sammie = 1 - (1/36)*x
we want to find the value of x such that:
2*(1 - (1/24)*x) = 1 - *(1/36)*x
which means that the amount that Sammie has left is two times the amount that Maxine has left to mow.
2 - (1/12)*x = 1 - (1/36)*x
2 - 1 = (1/12 - 1/36)*x
1/0.055 = x = 18.2
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For Maxine, R = 1/6
For Sammie, R = 1/9
The amount they have left to mow by minute x is:
Maxine = 1 - (1/6)*x
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We want to solve, similar to before.
2( 1 - (1/6)*x) = 1 - (1/9)*x
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1*9/2 = x = 4.5
So here the solution is 4.5 minutes. Hope this helps
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