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Sati [7]
3 years ago
12

The length of the base of an isosceles triangle is x. The length of a leg is 3x - 6. The perimeter of the triangle is 58. Find x

.
Mathematics
1 answer:
gregori [183]3 years ago
5 0

Answer:

x = 10

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sided of the triangle.

In an isosceles triangle, there are two equal sides and  a base.

Perimeter = ( 3x - 6) + (3x - 6) + x

            58 = 7x - 12

            58 + 12 = 7x

                   70  = 7x

                    \frac{70}{7} = \frac{7x}{7}

                    10 = x

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Using a system of equations, it is found that there are 34 pop songs are on the playlist.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Number of hip-hop songs.
  • Variable y: Number of pop songs.

Brandon has a playlist with 83 hip-hop and pop songs, hence:

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There are 15 more hip-hop songs than pop songs, hence:

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Replacing the second onto the first equation:

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More can be learned about a system of equations at brainly.com/question/24342899

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