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nirvana33 [79]
4 years ago
5

Need help with this math problem

Mathematics
1 answer:
-BARSIC- [3]4 years ago
3 0

z = 37°

Step-by-step explanation:

The exterior angle theorem says that the sum of two internal angles is equal to the exterior angle

In this case the sum of z and z+4 will be equal to z+41

Writing mathematically

z + z+ 4 = z + 41\\2z+4 = z + 41\\2z -z = 41 -4\\z = 37

Hence

z = 37°

Keywords: Angles, Triangles

Learn more about angles at:

  • brainly.com/question/10800566
  • brainly.com/question/10808021

#LearnwithBrainly

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Read 2 more answers
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We can model this situation.

Raina received a total of 83 calls
First evening she received 7 more than the third so let x = third and since we know she received 7 more we know to add 7 to the third so (x + 7)

Second evening she received 2 times as many as the third so 2 time third, which x is the third so (2 times x) or we could say 2x

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So now lets solve for x and then we can find how many she received each evening.

Our Model: (x + 7) + 2x + x = 83
(x + 7) + 2x + x = 83
x + 7 + 2x  + x = 83
x + 2x  + x + 7 = 83
4x + 7 = 83
4x + 7 - 7 = 83 -7
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First evening:
19 + 7 = 26 calls
Second evening
2 times 19 = 38
Third evening
19

Check our answer:
26 + 38 + 19 = 83


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