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SashulF [63]
3 years ago
12

A pair of congruent angles are described as follows: One angle measures nine more than six times a number, and the other angles

described as being thirty less than nine times a number. What is the measure of the angles in degrees?
Mathematics
1 answer:
xxMikexx [17]3 years ago
5 0

Answer:

87 degrees

Step-by-step explanation:

congruent means equal to set each expression equal to each other:

9 + 6n = 9n - 30

39 = 3n

n = 13

substitute 13 into each expression; make sure they are both equal

You might be interested in
What's 3x-6x+14=2x+39
mojhsa [17]
3x - 6x + 14 = 2x + 39
-3x + 14 = 2x + 39
-5x = 25
x = -5
8 0
3 years ago
Jessica, Lauren and Kimmie were paid a total of $120 for babysitting in a ratio of 2:3:5. How much less did Jessica make than Ki
Tju [1.3M]

Answer:

Jessica makes $36 less than Kimmie  

Step-by-step explanation:

Let

x -----> amount paid to Jessica

y  ----> amount paid to Lauren

z ----> amount paid to Kimmie

we know that

x+y+z=120 ------> equation A

\frac{x}{y}=\frac{2}{3}

x=\frac{2}{3}y -----> equation B

\frac{y}{z}=\frac{3}{5}

z=\frac{5}{3}y -----> equation C

substitute equation B and equation C in equation A and solve for y

\frac{2}{3}y+y+\frac{5}{3}y=120

\frac{10}{3}y=120

y=120(3)/10

y=36

<em>Find the value of x</em>

x=\frac{2}{3}(36)=24

<em>Find the value of z</em>

z=\frac{5}{3}(36)=60

therefore

The  amount paid to Jessica was $24

The amount paid to Lauren was $36

The amount paid to Kimmie was $60

To find out how much less Jessica did than Kimmie, subtract the amount paid to Jessica from the amount paid to Kimmie.

\$60-\$24=\$36

therefore

Jessica makes $36 less than Kimmie

7 0
3 years ago
56 / 8 please hurry
viktelen [127]
56 divided by 8 = 7
Hope it helps :)
7 0
3 years ago
A store owner paid $20 for a book. She marked up the price of the book by 15% to determine its selling price. What is the sellin
TiliK225 [7]

Answer:

20 : 100% = x : 115%

Step-by-step explanation:

Do 115 x 20

divide the answer by 100

and that is your answer

8 0
3 years ago
Select all ratios equivalent to 10:5.<br> 110:55<br> 24:2<br> 14:6
dlinn [17]
115:55 bc if you divide them both you fat the same answer which is 2
4 0
3 years ago
Read 2 more answers
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