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den301095 [7]
3 years ago
5

Triangle DEF is a scaled copy of triangle ABC. Which segment in the scaled copy corresponds to segment AB?

Mathematics
1 answer:
zimovet [89]3 years ago
6 0
The scaled copy (DEF) is 1.5x larger than the original copy (ABC).

DE (6) is 1.5x larger than AB (4). This is the segment which corresponds to segment AB.

Answer: DE
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Which of the following represents 4x^5/6 in radical form
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Identify the domain and range of each of the graphs below.<br><br><br> Domain: <br><br><br> Range:
Anna11 [10]

Answer:

Domain → (-∞, ∞)

Range → (-∞, ∞)

Step-by-step explanation:

Domain of a function is defined by the x-values or input values of the graph.

Similarly, Range of the function is defined by the y-values or output values from the graph.

From the picture attached,

x - values for the line shown in the graph vary from negative infinity to positive infinity.

Therefore, Domain of the function will be → (-∞, ∞)

And for every x-value there is a y-value, so Range of the function will be same as domain (varying from negative infinity to positive infinity) → (-∞, ∞)

8 0
3 years ago
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
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