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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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Length of the median CP
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Given:

ΔABC \sim ΔDEF

To find:

The length of median CP

Solution:

In ΔABC,

AP = 12, BP = 12 and PC = 3x - 12

In ΔDEF,

DQ = 16, QE = 16 and FQ = 2x + 8

If two triangles are similar, then their median is proportional to the corresponding sides.

$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}

$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}

Do cross multiplication.

$\Rightarrow 12(2x+8)=16(3x-12)

$\Rightarrow 24x+96=48x-192

Add 192 on both sides.

$\Rightarrow 24x+96+192=48x-192+192

$\Rightarrow 24x+288=48x

Subtract 24x from both sides.

$\Rightarrow 24x+288- 24x=48x- 24x

$\Rightarrow 288=24x

Divide by 24 on both sides.

⇒ 12 = x

Substitute x = 12 in CP.

CP = 3(12) - 12

     = 36 - 12

     = 24

The length of median CP is 24.

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3 years ago
You roll a fair 6-sided die what is p (not 3)
Ulleksa [173]
As a fraction, the exact answer is 5/6
In decimal form, the approximate answer is 0.8333

To get this answer, note how there are 5 ways to roll something that isn't a three (1,2,4,5,6) out of 6 ways total (1,2,3,4,5,6)

So you simply divide the two values to get 5/6 = 0.8333
8 0
3 years ago
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forsale [732]

One of the errors made by Margie by saying the set of numbers 0, 1, -1, -21, 4, 3 is that the -21 should be the first number on the list.

The given set of numbers is:

0, 1, -1, -21, 4, 3.

Margie says that the set of numbers above is in order from least to greatest

Kindly note that:

The negative number with the highest magnitude is the lowest

The positive number with the highest magnitude is the highest

Arranging this number by carefully following the note above, the set of numbers above from the least to greatest is:

-21, -1, 0, 1, 3, 4

It is obvious that Margie made a mistake in arranging the numbers, and one of the mistake is that the -21 should be the first number on the list since it is the most negative

Learn more here: brainly.com/question/25874786

6 0
2 years ago
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Answer:

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Answer:

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