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Marina CMI [18]
3 years ago
11

Find the measurement of angle A

Mathematics
1 answer:
Orlov [11]3 years ago
5 0

Answer:

The value of A is 20

Step-by-step explanation:

To find the answer, note that all triangles have a interior degree measurement of 180. Set the sum of the angles equal to 180.

71x - 1 + 20x + 90 = 180

91x + 89 = 180

91x = 91

x = 1

Now we can use this in the A angle to find the value.

A = 20x

A = 20(1)

A = 20

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Janet weighs 20 pounds more than Anna. If the sum of their weights is 250 pounds, how much does each girl weigh?
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Janet = J
Anna = A

J = A + 20
J + A = 250

Considering that Janet and Anna are relatively close to eachother in weight, let's divide the sum by 2 to give us a general idea of where their weight lies.

250 / 2 = 125

Janet's and Anna's weights are around 125.
Let's try 140 for Janet and 120 for Anna

140 = 120 + 20 (J = A + 20), this works!
140 + 120 = 260 (J + A = 250), this unfortunately doesn't work.

Let's try 135 for Janet and 115 for Anna.

135 = 115 + 20 (J = A + 20), this works!
135 + 115 (J + A = 250), this also works!

Janet weighs 135 pounds, and Anna weighs 115 pounds.

I hope this helps!
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