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Nadya [2.5K]
3 years ago
15

Write an equation for the description.

Mathematics
1 answer:
yaroslaw [1]3 years ago
7 0

Answer:

The equation for the description is: \mathbf{123=2(2x+x)\:or\:123=6x}

Step-by-step explanation:

We need to write an equation for the description.

The length of a rectangle is twice its width. The perimeter of the rectangle is 123 feet.

Let Width of rectangle = x

Length of rectangle = 2x (twice its width means, multiplying 2 with width)

Perimeter of rectangle = 123 feet

The formula used is: Perimeter\:of\:rectangle=2(Length\times Width)

Putting values and finding equation:

Perimeter\:of\:rectangle=2(Length+ Width)\\123=2(2x+x)

So, the equation for the description is: \mathbf{123=2(2x+x)}

You can simplify the equation as:

123=2(2x+x)\\123=2(3x)\\123=6x

Both equations can be used: \mathbf{123=2(2x+x)\:or\:123=6x}

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14

Step-by-step explanation:

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Which expression can be subtracted from the area of the rectangle to find the area of parallelogram rstu? 2 (18 4) one-half (18
madam [21]

The expression can be subtracted from the area of the rectangle to give the area of the parallelogram RSTU (18+4).

<h3>What is the area of the rectangle?</h3>

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The coordinates of parallelogram RSTU are

R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)

The lengths of the sides are

RS = 4.1231

RT = 10

ST = 9.2195

SU = 10.198

TU = 4.1231

UR = 9.2195

Therefore, by definition of a parallelogram, we have;

RS║TU and ST║UR

The slope of RS = (1 - (-3))/(-5 - (-4)) = -4

The slope of ST = (3 - 1)/(4 - (-5)) = 2/9

The equation of the line perpendicular to ST is

y - 1 = -9/2×(x - (-5))

y = -9x/2 - 43/2

The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1

y = x/4 - 2

The point where the two lines meet

-9x/2 - 43/2  =  x/4 - 2

x = -78/19

y = -115/38

The length of the side of the rectangle = 4.1245

The excess width of the rectangle = 0.1085

The expression can be subtracted from the area of the rectangle to give the area of the parallelogram RSTU (18+4).

Learn more about the area:

brainly.com/question/11952845

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2 years ago
Which of the following is the statement below describing?
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Explain why the Leg-Leg (LL) theorem is the same as the Side-Angle-Side (SAS) postulate.
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BRAINLIEST!!!
Nutka1998 [239]

Answer:

\frac{35}{48}

Step-by-step explanation:

Probability:Probability=\frac{favourable\ outcome}{total\ outcome}

Probability of NOT 6:

Total\ outcomes=\{1,2,3,4,5,6\}\\\\Number\ of\ total\ outcomes=6\\\\Favourable\ Outcomes= NOT\ 6=\{1,2,3,4,5\}\\\\Number\ of\ favourable\ outcomes=5\\\\P(NOT\ 6)=\frac{5}{6}

Probability of NOT H:

Total\ outcomes=\{A,B,C,D,E,F,G,H\}\\\\Number\ of\ total\ outcomes=8\\\\Favourable\ Outcomes= NOT\ H=\{A,B,C,D,E,F,G\}\\\\Number\ of\ favourable\ outcomes=7\\\\P(NOT\ H)=\frac{7}{8}

Probability of NOT 6 and NOT H:

Both\ events\ are\ independent\\\\P(NOT\ 6\ and\ NOT\ H)=P(NOT\ 6)\times P(NOT\ H)\\\\P(NOT\ 6\ and\ NOT\ H)=\frac{5}{6}\times \frac{7}{8}\\\\P(NOT\ 6\ and\ NOT\ H)=\frac{35}{48}

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