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Svetlanka [38]
3 years ago
8

What are the angle measures?

Mathematics
2 answers:
ozzi3 years ago
4 0

Answer:In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex. Angles are measured in degrees ( °), using a protractor. Fun Facts. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor.

Step-by-step explanation:

bezimeni [28]3 years ago
3 0

a.  Equation:

3x + 21 = 6x - 60           {measure of corresponding angles is the same}

3x - 6x = -60 - 21

- 3x = - 81

b. Value of x:

  x = 27

c.  Ange measures:

3x + 21 = 3×27 + 21 = 81 + 21 = 102°

or:

6x - 60 = 6×27 - 60 = 162 - 60 = 102°

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Fatima took 546 US dollars to the bank to exchange for Canadian dollars. If the exchange rate on that day was 1.6 Canadian dolla
olchik [2.2K]

Answer:

$873.60 Canadian dollars

Step-by-step explanation:

All you have to do here is multiply the rate, so 1.6, by the total amount, so 546.

546 x 1.6=873.6

6 0
3 years ago
A restaurant adds a 20% tip to the bills of parties of 6 or more people. Suppose a server waits on five such tables. The bill
castortr0y [4]

Answer:

$218.70

Step-by-step explanation:

You need to first convert the percentage to the decimal.

20% = 0.2

Now, you need to find 20% of each bill by multiplying each bill by 0.2.

0.2(185.45) + 0.2(205.20) + 0.2(195.05) + 0.2(245.80) + 0.2(262.00)

Because of the distributive property, you can add up the bills and multiply the sum by 0.2.

0.2(185.45 + 205.20 + 195.05 + 245.80 + 262.00)

0.2(1093.50)

218.7

The waiter made $218.70 in tips.

4 0
3 years ago
Out of 15 serves in a volleyball game, 0.6 of them were in bounds. What percent of the serves were in bounds?
Anon25 [30]
Im assuing the 0.6 is a percentage and not the number of  passes then :

100% - 60% = 40%


4 0
3 years ago
Find a fraction equivalent to 5/7 whose squared terms add up to 1184.
bogdanovich [222]

The system of equations of two unknowns is formulated and solved.

\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y  } \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}

                                                              \large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \  \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28  } \end{gathered}$}

                                                                  \large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20  } \end{gathered}$}

The fraction that satisfies the request is \bf{\dfrac{20}{28}} , since in \bf{\dfrac{-20}{-28}} the negative signs are canceled and the first fraction is obtained.

3 0
2 years ago
Adding and subtracting the given polynomials
Usimov [2.4K]

You have to combine like terms, so the variable (x, y, s, d, c....) and the exponents must be the same in order to combine them.

For example:

x² + x³    Since they don't have the same exponent, you can't combine them

y² + 3y² = 4y²

23x + x = 24x

4. 2s² + 1 + s² - 2s + 1    You can rearrange it if it makes it easier

2s² + s² - 2s + 1 + 1 = 3s² - 2s + 2

5. 5t² - 2t - 1 - (3t² - 5t + 7) Distribute/multiply the - to (3t² - 5t + 7)

5t² - 2t - 1 - 3t² + 5t - 7 = 2t² + 3t - 8

Do the same for #9 and #10, and you should get:

9. 2k² + 5k - 9

10. 6y³ - 7y² - 6y - 12

3 0
3 years ago
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