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Dvinal [7]
3 years ago
12

How do I solve for the missing angle?!And please include explanations​ on how you got the answer

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
5 0

Answer:

75°

Step-by-step explanation:

In triangle FBG, one angle is 36.  That means the other two must total 180-36=144.  Assigning each one 72, their supplementary angle on the interior of the pentagon would be 108.

In triangle JDI, one angle is 39.  That means the other two must total 180-39=141.  Assigning each one 70.5, their supplementary angle on the interior of the pentagon would be 109.5

We now have 4 of the interior angles.  Pentagons have an interior total of 540.  540-108-108-109.5-109.5=105

x is the supplement of 105.  180-105=75

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The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?
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Answer:

The first term is:

  • a_1=-61

Step-by-step explanation:

The arithmetic sequence is defined by

a_n=a_1+\left(n-1\right)d

where

a_1 is the first term

d is the common difference

as

the 17th term of an arithmetic sequence is 51.

i.e. a_{17}=51

so

a_n=a_1+\left(n-1\right)d

a_{17}=a_1+\left(17-1\right)d        

51=a_1+\left(17-1\right)7         ∵ n = 17, a_{17}=51 , d=7

a_1+112=51                   ∵ \left(17-1\right)\cdot \:\:7=112

a_1=-61

Therefore, the first term is:

  • a_1=-61
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Question:

<em>Solve for q.  </em>

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Answer:

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Step-by-step explanation:

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