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Ratling [72]
3 years ago
11

What is the measure of angle b?

Mathematics
1 answer:
kirill [66]3 years ago
5 0
You can figure out angle b by solving for angle a first. Since angle a and 117 degrees are on the same line, both angles equal to 180 degrees. Subtract 117 from 180 and you get 63 degrees. So that means you have two angles of the triangle, 81 degrees and 63 degrees. Since a triangle is equal to 180 degrees, add both 81 degrees and 63 degrees then subtract the sum by 180. This would give you the answer of 36 which is angle b.
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-3(2x+2)<10 thank you in advance
pshichka [43]

-3(2x+2) < 10\\\\\implies -6x -6 < 10\\\\\implies -6x < 10 +6\\\\\implies -6x < 16  \\\\\implies x > -\dfrac{16}6\\\\\implies x > -\dfrac{8}3

6 0
2 years ago
Please help I’m struggling on this question.
timofeeve [1]

Answer: \frac{2(y^2-4y+40)}{(y-8)(y+4)}

Step-by-step explanation:

To solve this problem, we want to make sure the denominators are the same on both fractions. Once they are equal, we can dd them together.

\frac{y+4}{y-8} +\frac{y-8}{y+4}                      [multiply first fraction by y+4 and second by y-8]

\frac{(y+4)(y+4)}{(y-8)(y+4)} +\frac{(y-8)(y-8)}{(y-8)(y+4)}   [distribute by FOIL]

\frac{y^2+8y+16}{(y-8)(y+4)} +\frac{y^2-16y+64}{(y-8)(y+4)}   [add numerator]

\frac{y^2+8y+16+y^2-16y+64}{(y-8)(y+4)}         [combine like terms]

\frac{2y^2-8y+80}{(y-8)(y+4)}                       [factor out 2 from numerator]

\frac{2(y^2-4y+40)}{(y-8)(y+4)}                  

Now we know that \frac{2(y^2-4y+40)}{(y-8)(y+4)} is the factored form after adding.

5 0
3 years ago
Plsss help with number 14 I will give brainiest
professor190 [17]

Answer:

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Step-by-step explanation:

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8 0
4 years ago
Kenya exchanges $200 for euros (€). Suppose the conversion rate is €1 = $1.321. How many euros should Kenya receive?
PSYCHO15rus [73]
151.40 euros is your answer. You need to divide you OG number by the rate (so 200/1.321) to get the right conversion
4 0
3 years ago
Read 2 more answers
Oscar bought some markers, notebooks, and packs of sticky notes for his office. He bought the same number of markers as notebook
Veseljchak [2.6K]

Using a system of equations, it is found that Oscar bought 6 markers, 6 notebooks and 15 packs of sticky notes.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Number of markers.
  • Variable y: Number of notebooks.
  • Variable z: Number of packs of notes.

He bought the same number of markers as notebooks, hence:

x = y.

He bought three more packs of sticky notes than markers and notebooks combined, hence:

z = 3 + x + y

z = 3 + 2x.

He paid $1.05 for each marker, $2.25 for each notebook, and the packs of sticky notes were $1.95. He spent $49.05 in total, hence:

1.05x + 2.25y + 1.95z = 49.05.

Then:

1.05x + 2.25x + 1.95(3 + 2x) = 49.05.

7.2x = 43.2

x = 43.2/7.2

x = 6.

The amounts are as follows:

  • y = 6.
  • z = 3 + 2(6) = 15.

He bought 6 markers, 6 notebooks and 15 packs of sticky notes.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

7 0
2 years ago
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