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Aleksandr [31]
3 years ago
8

What is the solution to the equation 3x+2=x+8

Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0

Answer:

x=3

Step-by-step explanation:

3x+2=x+8

Subtract x from both sides.

3x+2−x=x+8−x

2x+2=8

Subtract 2 from both sides.

2x+2−2=8−2

2x=6

Divide both sides by 2.

2x/2=6/2

x=3

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3 years ago
A ladder is leaning up against a house. The ladder is 20 feet long and the base of the ladder is 12 feet away from the house. Ho
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Answer:

16 feet

Step-by-step explanation:

The length of the ladder=20 feet

Distance from the base of the ladder to the house = 12 feet

You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.

To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.

From Pythagoras theorem

Hyp^2=Opp^2+Adj^2\\20^2=12^2+Adj^2\\Adj^2=400-144\\Adj^2=256\\Adj=\sqrt{256}=16

The third side of the right triangle is 16. Therefore the ladder leans 16 feet from the ground.

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4 years ago
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