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bixtya [17]
2 years ago
15

Find each angle or arc measure.

Mathematics
1 answer:
DerKrebs [107]2 years ago
5 0

Since opposite angles of a cyclic quadrilateral are supplementary,

A= 180-101=79°

B= 180-68=112°

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A real estate agent earns a 2% commission on each home that he sells. What is his commission if he sells a home worth $1,000,000
harina [27]
Commission=2% of sales made

=2/100*$1,000,000
=$20,000
5 0
3 years ago
What is the slope of the line that contains the points (-2, 7) and (2, 3)?
charle [14.2K]
Slope = rise/run
rise = 7 - 3 = 4
run = -2 - 2 = -4
slope = 4/-4 = -1
Answer is B
3 0
3 years ago
Which of the following points are solutions to the equation y= -2/3x+2
Llana [10]

y=-\dfrac{2}{3}x+2\\\\\left(-\dfrac{2}{5};\ \dfrac{34}{15}\right)\to x=-\dfrac{2}{5};\ y=\dfrac{34}{15}\\\\for\ x=-\dfrac{2}{5}\to y=-\dfrac{2}{3}\cdot\left(-\dfrac{2}{5}\right)+2=\dfrac{4}{15}+2=\dfrac{4}{15}+\dfrac{30}{15}=\dfrac{34}{15}\\CORRECT\\\\\left(\dfrac{7}{2};\ \dfrac{13}{3}\right)\to x=\dfrac{7}{2};\ y=\dfrac{13}{3}\\\\for\ x=\dfrac{7}{2}\to y=-\dfrac{2}{3}\cdot\dfrac{7}{2}+2=-\dfrac{7}{3}+2=-\dfrac{7}{3}+\dfrac{6}{3}=-\dfrac{1}{3}\neq\dfrac{13}{3}\\INCORRECT

\left(\dfrac{1}{8};\ \dfrac{23}{12}\right)\to x=\dfrac{1}{8};\ y=\dfrac{23}{12}\\\\for\ x=\dfrac{1}{8}\to y=-\dfrac{2}{3}\cdot\dfrac{1}{8}+2=-\dfrac{1}{12}+2=-\dfrac{1}{12}+\dfrac{24}{12}=\dfrac{23}{12}\\CORRECT\\\\\left(\dfrac{8}{3};\ \dfrac{2}{3}\right)\to x=\dfrac{8}{3};\ y=\dfrac{2}{3}\\\\for\ x=\dfrac{8}{3}\to y=-\dfrac{2}{3}\cdot\dfrac{8}{3}+2=-\dfrac{16}{9}+2=-\dfrac{16}{9}+\dfrac{18}{9}=\dfrac{2}{9}\neq\dfrac{2}{3}\\INCORRECT

Answer: (-2/5,34/15) and (1/8,23/12).

3 0
3 years ago
A large multiplex movie house has many theaters. The largest theater has 48 rows. There are 13 seats in the first row. Each row
ratelena [41]
It is 13 rows Forsure and the white one is that
And seats are 20
3 0
3 years ago
D = {x|x is a whole number} E = {x|x is a perfect square between 1 and 9} F = {x|x is an even number greater than or equal to 2
Art [367]

First, you have to represent each given set by listing their elements. Observe:


•  D = {x | x is a whole number}

D = <span>ℤ

</span>D = {..., – 3, – 2, – 1, 0, 1, 2, 3, ...}


•  E = {x | x is a perfect square between 1 and 9}

("between" does not include the boundaries)

E = {x | x is a perfect square, 1 < x < 9}

E = {x | x = k²,  k ∈ ℕ  and  1 < x < 9}

E = {2²}

E = {4}


•  F = {x | x is an even number,  2 ≤ x < 9}

F = {2, 4, 6, 8}


So,

D ∩ F

=  {..., – 3, – 2, – 1, 0, 1, 2, 3, ...}   <span>∩   {2, 4, 6, 8}
</span>
=  {2, 4, 6, 8}  ≠  {4, 6}


Therefore, that statement is false.


I hope this helps. =)

8 0
3 years ago
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