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mafiozo [28]
2 years ago
13

Find the number of degrees in the third angle of the triangle.

Mathematics
2 answers:
sleet_krkn [62]2 years ago
5 0

Answer:

x = 42°

explanation:

The sum of total angles in a triangle is 180°

solve:

95° + 43° + x° = 180°

138° + x° = 180°

x = 180° - 138°

x = 42°

Nadya [2.5K]2 years ago
4 0

Solution:

<u>Note that:</u>

  • 95 + 43 + x = 180

<u>Simplify the equation to find x.</u>

  • 95 + 43 + x = 180
  • => 138 + x = 180
  • => x = 180 - 138
  • => x = 42°
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A king owned land outside of his castle he has partitioned the land to give as gifts to his 5 sons what fraction of land did the
siniylev [52]

Answer:

1/5

Step-by-step explanation:

since there is 5 sons they divide the land in 5.

4 0
3 years ago
Need help with a system of equations
sweet [91]

Answer:

\boxed{x - y = -2\sqrt{7}}

Given:

x + y = 4 \\  \\  {x}^{2}  +  {y}^{2}  = 22 \\  \\  {x}^{4}  =  {y}^{4}  - 176 \sqrt{7}

Step-by-step explanation:

=  >  {x}^{4}  =  {y}^{4}  - 176 \sqrt{7}  \\  \\  =  >  {x}^{4}  -  {y}^{4}  =  - 176 \sqrt{7}  \\  \\  =  >  {( {x}^{2}) }^{2}  -  { ({y}^{2}) }^{2}  =  - 176 \sqrt{7}  \\  \\  =  > ( {x}^{2}  +  {y}^{2} )( {x}^{2}  -  {y}^{2} ) =  - 176 \sqrt{7}  \\  \\  =  > ( {x}^{2} +  {y}^{2})  (x + y)(x - y) =  - 176 \sqrt{?}  \\  \\  =  > 22 \times 4(x - y) =  - 176 \sqrt{7}  \\  \\  =  > 88(x - y) =  - 176 \sqrt{7}  \\  \\ =  >  x - y =  -  \frac{176 \sqrt{7} }{88}  \\  \\  =  > x - y =  - 2 \sqrt{7}

Identity used:

{x}^{2}  -  {y}^{2} = (x + y)(x - y)

7 0
3 years ago
Read 2 more answers
List down all the values of k<br>if; - 4≤ k ≤ 1​
vekshin1

Answer:

All the values of k are  -4, -3, -2, -1, 0 , 1

Step-by-step explanation:

Given;

- 4≤ k ≤ 1​

The range of value of k is between -4 and 1.

These values are listed as follows;

k = -4, -3, -2, -1, 0 , 1

Therefore, all the values of k are  -4, -3, -2, -1, 0 , 1

6 0
2 years ago
*****50 POINTSSSS*****
defon

Answer:

<h3>Given</h3>
  • m∠REG = 78°
  • mAR = 46°
  • ER ≅ GA
<h3>Solution</h3>
  • m∠GAR = 180° - m∠REG = 180° - 78° = 102° (supplementary angles sum to 180°)
  • m∠TAR = 1/2mAR = 1/2(46°) = 23°   (tangent chord angle is half the size of intercepted arc)
  • m∠GAN = 180° - (m∠TAR + m∠GAR) = 180° - (23° + 102°) = 55° (straight angle is 180°)
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  • mRE = mAG = 110° (as ER ≅ GA)
  • mGE = 360° - (mAG + mAR + mRE) = 360° - (110° + 46° + 110°) = 94° (full circle is 360°)
6 0
2 years ago
Hannah received $30 for her birthday and bought 3 shirts that were all the same price. If she had $9 left over, which equation s
Natasha2012 [34]
Money spent + money left over = total money

money spent + 9 = 30

We don't know the price of each shirt, so let x = price of 1 shirt.
Then, 3 shirts cost 3 times as much as x, or 3x.
She spent 3x.

3x + 9 = 30
5 0
3 years ago
Read 2 more answers
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