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omeli [17]
3 years ago
12

Find the values of x and y if l // m. Show all work.

Mathematics
1 answer:
____ [38]3 years ago
6 0

Answer:

x = 7, y = 24

Step-by-step explanation:

23x -16 + 8x - 21 = 180 because they are supplementary angles

31x - 37 = 180

31x = 217

x = 7

23(7)-16 = 7y - 23 because they are vertical angles

168 = 7y

y = 24

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3 years ago
What is the solution of the proportion? 6/a = 18/27
Marta_Voda [28]

Answer:

a=9

Step-by-step explanation:

To solve this proportion, we have to get the variable, a, by itself.

First, cross multiply.

6/a=18/27

Multiply the denominator of the first fraction by the numerator of the second, and the numerator of the second by the denominator of the first.

a*18=6*27

18a=162

Now, 18 and a are being multiplied. In order to get a by itself, perform the opposite of what is being done. They are being multiplied, so the opposite would be division. Divide both sides by 18.

18a/18=162/18

a=162/18

a=9

So, the proportion, with 9 substituted in for a, will be:

6/9=18/27

6 0
3 years ago
Read 2 more answers
I have a test tomorrow
Nana76 [90]

well i wish you the best of luck buddy

5 0
4 years ago
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Ben's family went on a car trip. They stopped for gas 4 times. Each time they stopped they spent an average of 15 minutes at the
Romashka-Z-Leto [24]

Answer:

60 minutes

Step-by-step explanation:

Time taken by Ben's family at one gas station=15 minutes

Total number of gas stations they stopped at=4

Total time spended stopping for gas= 15x4=60 minutes.

4 0
3 years ago
A student earned a grade of 80% on a math test that had 20 problems. How many problems on this test did the student answer corre
Nikolay [14]

Answer: 16 questions

Step-by-step explanation:

To find how many problems the student correctly answered on the test, we can turn 80% into a fraction.

\frac{80}{100} =\frac{16}{20}

The student answered 16 questions correctly.

The value of (0.3)^4 is 0.0081.

Unless you mean 0.3*4, then it is 1.2.

3 0
3 years ago
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