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gogolik [260]
3 years ago
8

If m∠A = m∠B and m∠A + m∠C = ∠D, then m∠B + m∠C = ∠D.

Mathematics
2 answers:
Zina [86]3 years ago
3 0

Answer:

  substitution property

Step-by-step explanation:

When you replace m∠A in the second equation with its equal, as defined by the first equation, you are making use of the <em>substitution property</em>.

That property says you can replace anything by its equal.

nekit [7.7K]3 years ago
3 0

Answer:

subsitution

Step-by-step explanation:

i jus took the quiz

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Step-by-step explanation:

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Melanie L. asked • 03/08/16

a pole that is 3.3m tall casts a shadow that is 1.78m long. at the same time, a nearby building casts a shoadow that is 49.75 m long. how tall is the building?

a pole that is 3.3m tall casts a shadow that is 1.78m long. at the same time, a nearby building casts a shoadow that is 49.75 m long. how tall is the building? Round to the nearest meter.

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2 Answers By Expert Tutors

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Jane C. answered • 03/08/16

TUTOR New to Wyzant

Proficient, Efficient, Sincere Elementary and Middle School Math Tutor

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Hi Melanie!

This problem involves proportion.

Let x be the unknown, which is the height of the building.

height of pole = height of the building

height of the shadow height of the shadow

3.3 m = x

1.78 m 49. 75 m

Solve for x.

(3.3 m) (49.75 m) = x

1.78 m

92.2331460674 = x

Rounded to the nearest meter, the building is 92 meters high.

Hope that helps.

The fraction bars are not coming out (Underline), I don't know why... but yeah, that is the answer.

8 0
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At the movie theatre, child admission is $5.20 and adult admission is $9.00 . On Saturday, 156 tickets were sold for a total sal
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We can solve this by using systems of equations.

Let's find our first formula, how much money was made using the tickets.

5.20x + 9y = 1027.80

Here x is how many child tickets we sold and y is how many adult tickets we sold. Now that we have defined that, we can make another formula for the total tickets sold!

x + y = 156 since we sold 156 tickets that could be any combination of child and adult tickets.

Let's solve this system. I'm going to use <em>substitution</em> so I'm going to take our second formula and subtract both sides by x to get y = 156 - x.

Now I will plug this in the first equation for y to get You plug it in for y to get 5.20x + 9 (156-x) = 1027.8.

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