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Radda [10]
3 years ago
13

The measure of the supplement of an angle is in a 2:3 ratio to the measure of the angle. What is the measure of each angle?

Mathematics
1 answer:
777dan777 [17]3 years ago
3 0

Answer:

angle1 : angle 2:

72                108

Step-by-step explanation:

Supplementary angles add to 180

angle1 : angle 2:

2               3

Multiply each term by x

2x           3x

The total is 180

2x+3x= 180

5x= 180

Divide by 5

5x/5 =180/5

x =36

angle1 : angle 2:

2*36           3*36

72                108

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3 years ago
a pool in the shape of rectangle has a perimeter of 80 feet. The pool is 8 Feet less wide than its long. Find the length and wid
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Hello!

To solve this, lets put it into a system of equations where w=width and L=length.
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To solve, we see that w=L-8. We can substitute this in the first equation to find L and then w.

2(L-8)+2L=80
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Lets check our answer. In our original system of equations, we have 48+32=80, which is true, and 24-8=16. Also, the perimeter must equal 80. 16+16+24+24=80.

As our final answer, the width of the pool is 16 feet, and the length is 24 feet.

Hope this helps!

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  .................................

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