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elena-s [515]
3 years ago
6

Find the value of x. B X+5 4 D E 2x 3 А x = [?]

Mathematics
1 answer:
Greeley [361]3 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

Δ BDE and Δ BAC are similar triangles, thus the ratio of corresponding sides are equal, that is

\frac{BD}{BA} = \frac{BE}{BC}, substitute values

\frac{x+5}{3x+5} = \frac{4}{7} ( cross- multiply )

4(3x + 5) = 7(x + 5) ← distribute parenthesis on both sides )

12x + 20 = 7x + 35 ( subtract 7x from both sides )

5x + 20 = 35 ( subtract 20 from both sides )

5x = 15 ( divide both sides by 5 )

x = 3

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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

8 0
1 year ago
Add.
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The answer is c:
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3 years ago
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Answer:

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Step-by-step explanation:

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This is me cab/ticket,popcorn,drink 7.50+ 3.5+1.50+12.= 24.50

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A company had 488 customers. Only 50% of the company's customers bought makeup. Only 50% of the customers that bought makeup sai
Hunter-Best [27]

Answer:

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Step-by-step explanation:

1. 244 because I divided 488 by 2.

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