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ololo11 [35]
3 years ago
12

A rectangle is inscribed in a right isocdles triangle with a leg of 6 cm so that it shares a common vertex with the triangle. Fi

nd the perimeter of the rectangle.
Mathematics
1 answer:
tatyana61 [14]3 years ago
3 0
One vertex the rectangle lies on the straight line x + y = 6, which means that the sum of lengths of two adjacent sides is 6. Then the perimeter is 12 cm.
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Erica runs 5.3 kilometers every morning. One day, she runs 0.95 kilometers and then stops to take a break. How much further does
Leviafan [203]

Answer:

1foot(ft.)1yard(yd.)1mile(mi.)===12inches(in.)3feet(ft.)5,280feet(ft.)

Step-by-step explanation:

8 0
3 years ago
Just number 7 would be fine but if you could also number 8 would help a lot​
BlackZzzverrR [31]

Answer:

7. r = -5

8. x = -1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

r + 2 - 8r = -3 - 8r

<u>Step 2: Solve for </u><em><u>r</u></em>

  1. Combine like terms:                    -7r + 2 = -3 - 8r
  2. Add 8r to both sides:                   r + 2 = -3
  3. Subtract 2 on both sides:            r = -5

<u>Step 3: Check</u>

<em>Plug in r into the original equation to verify it's a solution.</em>

  1. Substitute in <em>r</em>:                    -5 + 2 - 8(-5) = -3 - 8(-5)
  2. Multiply:                              -5 + 2 + 40 = -3 + 40
  3. Add:                                    -3 + 40 = -3 + 40
  4. Add:                                    37 = 37

Here we see that 37 does indeed equal 37.

∴ r = -5 is a solution of the equation.

<u>Step 4: Define equation</u>

-4x = x + 5

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Subtract <em>x</em> on both sides:                    -5x = 5
  2. Divide -5 on both sides:                      x = -1

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    -4(-1) = -1 + 5
  2. Multiply:                               4 = -1 + 5
  3. Add:                                     4 = 4

Here we see that 4 does indeed equal 4.

∴ x = -1 is a solution of the equation.

8 0
3 years ago
Read 2 more answers
The pyramid shown has a square base that is 12 inches on each side. It has a surface area of 336 square inches. What is the slan
blagie [28]
Let b and h represent the length of the side of the base and the slant height, respectively. Then the total surface area is
  A = b² + 4*(1/2)bh
  A = b² +2bh

Substituting the given numbers, you have
  336 = 12² +2·12·h
  192 = 24h . . . . . . . . . subtract 12² = 144
  8 = h . . . . . . . . . . . . . divide by 24

The slant height is 8 inches.
7 0
3 years ago
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Which point represents the x-intercept of this exponential function?
horsena [70]

Answer:

Step-by-step explanation:

the answer is unknown because there is no answer to that question and if there was it would be odd an would not make sence so that is a true of false question

6 0
3 years ago
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The ratio of red balloons to blue balloons is 4 to 11. There are 133 more blue balloons than red balloons. How many blue balloon
Kay [80]
The ratios of blue balloons to red balloons is 137 red balloons to 144 blue balloons

5 0
3 years ago
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