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tester [92]
2 years ago
11

Need help with systems of equations

Mathematics
1 answer:
OLEGan [10]2 years ago
8 0

Step-by-step explanation:

x + y = 14

this gives us

y = 14 - x

2x = y - 5

we use the first equation in the second

2x = 14 - x - 5 = 9 - x

3x = 9

x = 3

y = 14 - x = 14 - 3 = 11

the smallest number is 3 or 03.

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<h3>Answer:  3/8</h3>

==========================================================

Explanation:

Let's say this is a 1 by 1 square. The area is 1*1 = 1 square unit. Whatever the area of the triangle is, we divide it over 1 and it will yield the same value as the area of the triangle. In other words, the area of the triangle will be the answer.

Along the top we have 3 ticks to indicate the top segment has been cut into 3+1 = 4 equal parts. The horizontal distance from the the vertical side of the triangle to the peak of the triangle is 3/4 units. This is because we travel 3 ticks out of 4 total. So this is the height when we consider the vertical segment of the triangle to be the base.

The base is 1 unit as it spans the original square's side length

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area of triangle = (1/2)*(base*height)

area of triangle = (1/2)*(1*3/4)

area of triangle = 3/8

ratio of triangle area to square area = (triangle area)/(square area)

ratio of triangle area to square area = (3/8)/1

<h3>ratio of triangle area to square area = 3/8</h3>
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