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3 years ago

Describe, in words, the process you would use to find w.

Mathematics

1 answer:

Otrada [13]3 years ago

7 0

Answer:

w = 52°

Step-by-step explanation:

We know that the sum of the angle of a triangle is equal to 180 degrees

In this figure,

w+w+76 = 180

As w = w (Vertically opposite angles)

So,

2w = 180-76

2w = 104

w = 52

So, the value of w is equal to 52°.

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3 years ago

4. The length of your rectangular vegetable garden

OleMash [197]

The area of a garden is the amount of space the garden occupies

The area of the garden is (c) 375 ft^2

The given parameters are:

$L = 15 \times W$ --- Length equals 15 times width

$Perimeter=160$

The perimeter of a rectangle is:

$Perimeter= 2(L + W)$

Substitute known values

$160= 2(15 \times W + W)$

Divide through by 2

$80= 15 \times W + W$

$80= 15W + W$

$80= 16W$

Divide through by 16

$5= W$

Rewrite as:

$W =5$

The area of a rectangle is:

$Area = L \times W$

Substitute $L = 15 \times W$

$Area = 15 \times W \times W$

Substitute $W =5$

$Area = 15 \times 5 \times 5$

$Area = 375$

Hence, the area of the garden is (c) 375 ft^2