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kvasek [131]
3 years ago
5

Please help ASAP 40 pts

Mathematics
2 answers:
Ne4ueva [31]3 years ago
4 0

Answer:

The answer to your question is   x = 50

Step-by-step explanation:

Data

Equilateral triangle

∠C = x + 10

Process

To solve this problem we must consider these facts about triangles

- The sum of the internal angles in a triangle equals 180°

- All the angles in an equilateral triangle measures the same,

Equations

                    ∠A + ∠B + ∠C = 180°

but

                    ∠C + ∠C + ∠C = 180°

-Simplification

                                    3∠C = 180°

-Substitution

                                3(x + 10) = 180°

-Expand

                                3x + 30 = 180°

-Solve for x

                                3x = 180 - 30

                                3x = 150

                                  x = 150/3

                                  x = 50

kobusy [5.1K]3 years ago
3 0

Answer:

50

Step-by-step explanation:

Equilateral triangles have angles that all measure the same

180/3 = 60

so all angles measure 60

<c = 60

60 = x+10

Subtract 10 from each side

60-10 = x+10-10

x=50

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Answer:

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Step-by-step explanation:

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What is the slope if you have (1,1) and (-3,-2)?
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Given two points (X1,Y1) and (X2,Y2) on a line, the slope =(Y2 - Y1) /(X2 - X1).

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Rosa has $117 in her savings account and $95 in her checking account. Each week she will put $21 into her savings account and $2
mr_godi [17]

Answer:

It will take Rosa 5 and a half (5.5) weeks to have the same amount of money in both accounts.

Step-by-step explanation:

For this problem, we will have to set two expressions equal to each other. The first expression will represent Rosa's saving account, which already has $117 in it. Every week (x), she adds $21 to her savings account:

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The second expression will represent Rosa's checking account. Rosa's checking account already has $95 in it. Every week (x), she adds $25 to her checking account:

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Now that we have our two expressions, set them equal to each other. This is our equation that will be used to find the number of weeks (x) it takes until Rosha has the same amount of money in both accounts:

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Subtract 21x from both sides of the equation:

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Subtract 95 from both sides of the equation:

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Divide both sides of the equation by the coefficient of x, which is 4:

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So it will take five and a half weeks for her accounts to have the same amount of money.

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Since the accounts have the same amount, the answer is correct!

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