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dmitriy555 [2]
3 years ago
13

The sumof the angle measures of any triangle is 180 degrees. Suppose that one angle in a triangle has a degree for 6x-9 and anot

her has a degree measures 9x+1. Write an expression for the degree measure of the third angle in the triangle.
Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0
Remark
No matter what kind of triangle it is, the angles must add up to 180, just as you said.

Suppose we say 
A = 6x - 9
B = 9x + 1
C = y          We need an expression for C or y.

A + B + C = 180
6x - 9 + 9x + 1 + y = 180   Collect the like terms on the left.
6x + 9x + 1 - 9 + y = 180
15x - 8 + y = 180               Add 8 to both sides.
15x + y = 180 + 8
15x + y = 188                    Subtract 15x from both sides.
y = 188 - 15x <<<<<<<<< Answer
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We know that a rectangle has two widths that are equal and two lengths that are equal. One width is 22, so the other one is also 22.

If you wanted to find the lengths, you would add both widths together (same as multiplying a width by two) and add that to the two lengths equaled to the perimeter.

So, 22 * 2 + 2x = perimeter of rectangle. We added all four sides together.

We know that the perimeter is at least 165, so 22 * 2 + 2x = 165. Here's the twist. They want the most minimum possible length. So, what answer choice gives you 165 or less for the most minimum or smallest length while still getting to 165?
That is D.
22 * 2 + 2x < = 165.
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