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Readme [11.4K]
3 years ago
7

The sum of 6 times a number and 8 times another number is 12. The difference of those numbers is 9. What are the two numbers

Mathematics
1 answer:
Inga [223]3 years ago
6 0

Answer:

(x,y): (6 , -3) or (-30/7 , 33/7)

Step-by-step explanation:

6x + 8y = 12

x = y + 9 or   y = x+ 9

if x = y+9

6*(y+9) + 8y = 12

14y = -42

y = -3 and x = 6

if y = x+9

6x + 8*(x+9) = 12

14x = -60

x = -30/7   and y = 33/7

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The greatest angle in the given triangle is 104 degrees.

<h3>What is a triangle?</h3>
  • The polygon with 3 sides, three vertices, and three angles is known as a triangle.
  • A triangle's overall number of degrees is always 180 degrees.

Given:

  • Let, the second angle has a measurement of x degrees.
  • The first angle's measurement is 24 degrees greater than the second angle's measurement.
  • As a result, the first angle is (24+x) degrees.
  • The third angle is four times as large as the second.
  • As a result, the third angle has a measure of 4x.

So,

  • (24 + x) + x + 4x = 180
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  • 6x = 156
  • x = 156/6
  • x = 26

As a result, the second angle has a measurement of 26 degrees.

The first angle's measurement is now 24 degrees greater than the second angle's measurement.

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  • = 24 + 26
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As a result, the first angle has a measure of 50 degrees.

The third angle is now four times the size of the second angle.

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Therefore, the greatest angle in the given triangle is 104 degrees.

Know more about triangles here:

brainly.com/question/17335144

#SPJ4

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