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yulyashka [42]
2 years ago
5

Can anyone please help me out with this?

Mathematics
1 answer:
nika2105 [10]2 years ago
8 0
It works well to write the given angles on the diagram, then make use of the relationships for right angles and triangles.

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Find the area of each shape by decomposing it into smaller shapes, combining their area
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Answer: 95 units squared

Step-by-step explanation:

Rectangle of 10*4=40

Rectangle of 5*7=35

Triangle of 4*10/2=20

40+20+35=95

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10) Gabe put up a fence around his rectangular vegetable garden this weekend.
dybincka [34]

Answer:

The length is 16 ft, and the width is 3 ft.

Step-by-step explanation:

Let L = length & let W = width.

The perimeter of a rectangle is

P = 2(L + W)

The area of a rectangle is

A = LW

We know the perimeter and the area, so we substitute those values int he equations above and we switch sides in both equations.

Perimeter: 2(L + W) = 38

Divide both sides by 2:

L + W = 19

Area: LW = 48

We have a system of two equations in two unknowns:

L + W = 19

LW = 48

Solve the first equation for L and substitute it into the second equation.

L = 19 - W

(19 - W)W = 48

19W - W^2 - 48 = 0

Multiply both sides by -1, and rearrange the order of the terms.

W^2 - 19W + 48 = 0

(W - 16)(W - 3) = 0

W - 16 = 0 or W - 3 = 0

W = 16 or W = 3

Use W = 3 to find L

L = 19 - W

L = 19 - 3

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Answer: The length is 16 ft, and the width is 3 ft.

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3 years ago
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Answer:

2, 4

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equation (x -2, y -4)

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