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Anvisha [2.4K]
3 years ago
15

A rectangle is 12m longer than it is wide. Its perimeter is 68m. Write and equation and show steps to find its length and width.

Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0

Answer:

  length: 23 m; width: 11 m.

Step-by-step explanation:

The perimeter of a rectangle is twice the sum of its length and width, so that sum is 34 m. Then you can write two equations in length and width:

  l + w = 34

  l - w = 12

Adding these together gives you ...

  2l = 46

  l = 23 . . . . . . divide by 2

Then the width is

  w = 23 -12 = 11

The length and width are 23 m and 11 m, respectively.

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The given pair of lines are not perpendicular.

<h3>What is a line?</h3>

The line is a curve showing the shortest distance between 2 points.

5x - 5y = -2 - - - - - (1)
Transform the equation into standard form,
5x + 2 = 5y
y = 5x /5 + 2/5
y = x + 2/5


The slope of equation 1 is m_1 = 1  and intercept c = 2 / 5


Similarly
x + 2y = 4    - - - - - - - -(2)
Transform it into standard form
y = -x/2 + 4 /2
y = -x / 2 + 2


Slope of the equation 2  m_2= -1 / 2 and intercept c = 2
Slope of line 1 * slope of line 2 = 1 * -1/2 = -1/2


Since the lines are not perpendicular because the pair of lines does not satisfy the property of perpendicular lines i.e
m_1*m_2 = -1

Thus, the given pair of lines are not perpendicular.

Learn more about lines here:

brainly.com/question/2696693

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6 0
1 year ago
What is 649,284,143 rounded to the nearest hundred million
zysi [14]
The answer is 600,000,000
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3 years ago
Find the area of this parallelogram?
Jet001 [13]

So, the area of a parallelogram is the base times the height or

a = b \times h

a being area

b being base

h being height

the height is 8 cm and the base is 15 cm

(remember: the heght should be perpendicular to the base)

so we plug in 8 for h and 15 for b to get

a = 15 \times 8

and 15 × 8 = (10 × 8) + (5 × 8) = 80 + 40 =120

So the answer is 120

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You draw a line on a paper. Using your pencil, but without touching that line again, can you make the line longer?
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4 years ago
8 A video game that usually costs $50 is on sale for $32.50
finlep [7]

The video game is on 35% discount.

Step-by-step explanation:

Cost of video game = $50

Price on sale = $32.50

Amount of discount = Original price - price on sale

Amount\ on\ discount = 50-32.50\\Amount\ on\ discount= \$17.5

Percentage = \frac{Dicount\ Price}{Original\ Price}*100

Percentage=\frac{17.5}{50}*100\\Percentage=\frac{1750}{50}\\Percenatge=35\%

The video game is on 35% discount.

Keywords: Percentage

Learn more about percentages at:

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