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DENIUS [597]
3 years ago
9

The measure of angle J is 56.9°. Find the measure of the complement and supplement of angle

Mathematics
1 answer:
Georgia [21]3 years ago
5 0

Answer:

Got morning

Step-by-step explanation:

Hatice in Ankara iş for <u>ndsngeldi</u><u> </u><u>dfuhtvwy</u><u> </u><u>seni</u><u> </u><u>sevdim</u><u> </u><u>mi</u><u> </u><u>tam</u><u> </u><u>severim</u><u> </u><u>merhaba</u><u> </u><u>hocam</u><u> </u><u>nasılsınız</u><u> </u><u>nasılsın</u><u> </u><u>nasılsın</u><u> </u><u>bir</u><u> </u><u>yöntem</u><u> </u><u>olup olmadığını</u><u> </u><u>düşünelim</u><u> </u><u>sırasıyla</u><u> </u><u>görüşmek için</u><u> </u><u>randevu</u><u> </u><u>talep</u><u> </u><u>ediyoruz</u><u> </u><u>merhaba</u><u> </u><u>canım</u><u> </u><u>benim</u><u> </u><u>çok</u><u> </u><u>sevdiğim</u><u> </u><u>gerçeği</u><u> </u><u>var</u><u> </u><u>bide</u><u> </u><u>bu</u><u> </u><u>var</u><u> </u>

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The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side
seropon [69]

Answer:

  • 7 feet, 3 feet, 7.5 feet

Step-by-step explanation:

Let the sides be a, b and c.

<h3>Given</h3>

The length of one side of a triangle is 2 feet less than three times the length of its second side

  • a = 3b - 2

The length of the third side is 3/4 of the sum of the lengths of the first two sides:

  • c = (3/4)(a + b)

The perimeter of the triangle is 17.5 feet:

  • a + b + c = 17.5

<h3>Solution</h3>

Substitute a with b in the second equation:

  • c = (3/4)(3b - 2 + b) = (3/4)(4b - 2) = (3/4)(4b) - (3/4)(2) = 3b - 1.5

Now substitute a and c with b in the third equation and solve for b:

  • a + b + c = 17.5
  • 3b - 2 + b + 3b - 1.5 = 17.5
  • 7b - 3.5 = 17.5
  • 7b = 17.5 + 3.5
  • 7b = 21
  • b = 3

Find the value of a:

  • a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7

Find the value of c:

  • c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5

The sides of the triangle are:

  • a = 7 feet, b = 3 feet, c = 7.5 feet

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