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Likurg_2 [28]
3 years ago
5

If angle 1 = 6n + 1 and angle 4 = 4n + 19, what is the angle 2?

Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0
Angles 1 and 4 are alternate angles and thus have the same measurement. You will set their equations equal to each other and solve for the variable. 

6n + 1 = 4n + 19

Subtract 1 and 4n from both sides to get variables on one side and constants on the other. 

6n - 4n = 19 - 1

Combine like terms and solve for n.

2n = 18
n = 18 / 2
n = 9

Angles 1 and 2 are congruent as labeled in the graph. 

So angle 2 is also 6n + 1

Plug in for 9 for n

6(9) + 1
54 + 1
55

Option C is your answer. 


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tester [92]
Step 1:
Add rent & car payments

=11,250+1422
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Step 2:
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Alternative Step 2:
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Answer:

9

Step-by-step explanation:

The diagram showing the three pieces of paper of three digit in which two of the letters were covered can be seen below.

From the diagram; we have;

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Assuming the covered digits are _

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The objective is to determine the sum of the two unknown digits

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From ; 1_7 , we have the choice to pick from 0 - 9

Assuming the covered digit is 0; let's check if we are right

So; 243 + 1<u>0</u>7  +  _26 = 826

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So; the covered digit is in the position of 4 , but it doesn't tally together

i.e 426 is not the same as 476, which makes our assumption to be wrong.

Let consider the covered digit to be 5 for example.

So; 243 + 1<u>5</u>7  +  _26 = 826

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_26 = 826 - 400

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The covered digit is in the position of 4

SO;

<u>4</u>26 = 426

Here , our assumption is right.

As such , the covered digits are 5 and 4

The sum of the two  covered digits are = 5 + 4 = 9

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