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Ilya [14]
3 years ago
8

Help please, i am struggling on how to solve!

Mathematics
2 answers:
Elina [12.6K]3 years ago
6 0

Answer:

x=3

Step-by-step explanation:

The hypotenuses are equal in length of both triangles.

13=4x+1

13-1=4x

12=4x

12/4=x

3=x

mixas84 [53]3 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

<u><em>Let's take the congruency of any side of these two triangles.</em></u>

<u><em>In boths Δs , </em></u>

=> 4x+1 = 13 (Taking this is rather more convenient)

=> 4x = 13-1

=> 4x = 12

<em>Dividing both sides by 4</em>

=> x = 3

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Is the given ordered pair a solution to the equation? <br><br><br> y=2x+7;(-2, 3)
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Answer:

The answer to your question is: Yes, it is a solution

Step-by-step explanation:

           

Point  (-2, 3)

                         Line:            y = 2x + 7

Process, replace the point in the line

                                          3 = 2(-2) + 7

                                          3 = -4 + 7

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As we got that 3 equals 3, then the point given is a solution of the equation.

               

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Step-by-step explanation:

The quotient is 18

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3 years ago
Bucket with 20 chips. The chips in the bucket
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2 years ago
A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 36 square feet larger than that
Korvikt [17]

Answer:

  • rectangle: 12 ft × 24 ft
  • square: 18 ft square

Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

<h3>Setup</h3>

Let x represent the side length of the square. Then its area is x², and the area of the rectangle is (x² -36).

This area is the product of length and width. The expression factors as ...

  rectangle area = x² -36 = (x +6)(x -6)

<h3>Solution</h3>

If we assume these factors are the dimensions of the rectangle, then the longer dimension is twice the shorter one:

  (x +6) = 2(x -6)

  18 = x . . . . . . . . . add 12-x to both sides

This is the side length of the square. The rectangle dimensions are ...

  x+6 = 18+6 = 24 . . . . feet long

  x -6 = 18 -6 = 12 . . . . feet wide

The rectangle is 12 feet wide and 24 feet long. The square is 18 feet on a side.

__

<em>Additional comment</em>

The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

<em>Alternate solution</em>

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

  9/4x² -2x² = 36 = x²/4   ⇒   x = √(36·4) = 6·2 = 12 . . . . width of rectangle

8 0
1 year ago
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