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3 years ago

Geometry Help Please?

Mathematics

1 answer:

Jlenok [28]3 years ago

7 0

Divide the two known corresponding sides: JK/AB = 18/12 = 3/2 = 1.5
So the sides of triangle JKL are 1.5 (one and a half) times bigger than the corresponding sides for triangle ABC

1.5 is the linear scale factor

This extends to the perimeter as well:
perimeter of JKL = 1.5*(perimeter of ABC)
perimeter of JKL = 1.5*28
perimeter of JKL = 42 feet

It turns out that since the linear scale factor is 1.5, this means the area scale factor is (1.5)^2 = 2.25
The new area is found by multiplying the old area by 2.25

area of JKL = 2.25*(area of ABC)
area of JKL = 2.25*18
area of JKL = 40.5

----------------------------------------------------------------------------------------

In summary:
Perimeter of JKL = 42 feet
Area of JKL = 40.5 square feet

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The equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)

To determine which equation gives the correct value of n, the number of GB, for which Plans A and B cost the same, we will first solve the equations.

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First, clear the bracket

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8n = 20 + 6(n-2)

First, clear the brackets

8n = 20 + 6n - 12

Now, collect like terms

8n - 6n = 20 - 12

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Plans A and B do not cost the same here.

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8n = 20 + 2n + 6

Collect like terms

8n - 2n = 20 + 6

6n = 26

n = $\frac{26}{6}$

n = $\frac{13}{3}$ GB or $4\frac{1}{3}$ GB

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