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m_a_m_a [10]
3 years ago
14

Solve for x……………………….

Mathematics
2 answers:
mash [69]3 years ago
6 0

Solution :

Let us assume the third angle as a

So, as we know that

116° + a = 180° [Reason : Linear Pair]

a = 180° - 116°

<u>a = 64°</u>

Now, according to the question, we need to find x

So,

53° + a + x = 180° [Reason : Three angles of a ∆ = 180°]

Putting a's value we get

53° + 64° + x = 180°

117° + x = 180°

x = 180° - 117°

<u>x = 63°</u>

  • <u>Hence, the answer is 63°</u>
Jobisdone [24]3 years ago
4 0

Answer:

66

Step-by-step explanation:

Find other side:

116 + x = 180

-116        -116

------------------

      x = 64

Find missing triangle angle:

50 + 64 + x = 180

114 + x = 180

-114        -114

-------------------

       x = 66

Hope this helped.

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I have a stamp collection. 70% of my stamps are Canadian and 30% are international. I have 500 more Canadian stamps than interna
shutvik [7]

Answer: N= 375, C= 875

Step-by-step explanation:  Let Canadian stamps=C

Let International stamps=N

C=875     and        N=375

 

C - 500=N,  .70(N + C) =C

Solve the following system:

{C-500 = N |     (equation 1)

0.7 (C+N) = C |     (equation 2)

Express the system in standard form:

{-N+C = 500 |     (equation 1)

0.7 N-0.3 C = 0 |     (equation 2)

Add 0.7 × (equation 1) to equation 2:

{-N+C = 500 |     (equation 1)

0 N+0.4 C = 350 |     (equation 2)

Divide equation 2 by 0.4:

{-N+C = 500 |     (equation 1)

0. N+C = 875. |     (equation 2)

Subtract equation 2 from equation 1:

{-N+0 C = -375. |     (equation 1)

0 N+C = 875. |     (equation 2)

Multiply equation 1 by -1:

{N+0 C = 375. |     (equation 1)

0 N+C = 875. |     (equation 2)

Collect results:

Answer: |  N = 375        and             C=875

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3 years ago
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maksim [4K]

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Answer:

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Answer:

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Step-by-step explanation:

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