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3 years ago

Describe and correct the error in finding the measure of the angle

Mathematics

1 answer:

DerKrebs [107]3 years ago

5 0

Sorry, it's late, and I'm a bad explainer.

The error is adding (2x-12) with x and 30. This is wrong because you are adding the angles inside the triangle and you are assuming that (2x - 12) is the unlabeled angle INSIDE the triangle, when it is the exterior angle/outside of the triangle.

A straight line is also 180°.

(2x - 12) + ? = 180

30 + x + ? = 180

If you look at the equations, and put parentheses around 30 + x, (30 + x) and (2x - 12) should be the SAME NUMBER. So you could set them equal to each other to find x. (or you could also look at the picture and see that they both need/are missing the same angle)

2x - 12 = 30 + x

x = 42

Now you plug 42 into the exterior angle equation

2(42) - 12 = 84 - 12 = 72°

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3 years ago

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beks73 [17]

The correct answer is C) 1/3 and (0, 1)

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3 years ago

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3 years ago

The currency in switzerland is called a franc. On a certain day, one U.S. dollar equaled 1 1/4 swiss france. Write and solve a m

Rufina [12.5K]

Answer:

The equation is x = y * 4/5 and US$ 12 would equal 15 Swiss Francs

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

1 US$ equivalent to 1 1/4 Swiss Franc

2. Let's write and solve a multiplication equation to find the amount of US$ that would equal 15 Swiss Francs

x = Amount of US$ equivalent

y = Amount of Swiss Francs

x = y /1.25

x = y / 5/4 (1.25 = 5/4)

x = y * 4/5

Now, let's replace with the real values:

x = 15 * 4/5

x = 60/5

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US$ 12 would equal 15 Swiss Francs

6 0

3 years ago