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Dafna1 [17]
3 years ago
13

One side of a rectangle is 10 feet shorter than twice another side. Find the length of the shorter side if we also know the peri

meter of the rectangle is 28 feet.
Mathematics
1 answer:
seropon [69]3 years ago
8 0

Answer:

  6 feet

Step-by-step explanation:

Let x represent the length of "another side." Then "one side" is ...

  2x -10 . . . . . . 10 feet shorter than twice another side

The sum of these two side lengths is half the perimeter, so is ...

  x + (2x -10) = 14 . . . . . two sides are half the perimeter

  3x = 24 . . . . . . . . . . . . add 10, collect terms

  x = 8 . . . . . . . . . . . . . . .divide by the coefficient of x

  (2x -10) = 2·8 -10 = 6 . . . . find "one side"

We have found "one side" to be 6 feet long, and "another side" to be 8 feet long. The shorter side is 6 feet.

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What does this expression mean when it says 2 less than five times a number
Zinaida [17]

Answer:

2 - 5x

Step-by-step explanation:

Answer is in the problem:

2 less than = 2 minus a number ( 2- )

five times a number = 5x ( we don't know what number five is being multiplied by, so we put a variable)

6 0
3 years ago
Find the missing number in each sequence.<br><br> 40, ___ , 37 1/3 , 36
seraphim [82]
The common difference is 1 1/3
40-1 1/3= 38 2/3
38 2/3-1 1/3=37 1/3
37 1/3-1 1/3=36
Therefore the missing number is 38 2/3
8 0
2 years ago
Read 2 more answers
The base of a pyramid has n sides write an expression for the number of faces of the pyramid
kumpel [21]
A pyramid always have a number of slant triangles equal to the number of the sides of the base.

This means that a pyramid always have the number of face which is one more than the number of sides of the base.

Therefore, given that a pyramid has n number of sides of the base, the expression for the number of faces of the pyramid is given by

number of faces = n + 1.
6 0
3 years ago
Multiply and simplify. (x - 1)(x - 1)(x - 1)
Tanzania [10]
(sorry if it's too late and you've already figured it out, but here you go anyway)
The easiest way to do this is to start by FOILing then add.
So just start with (x-1)(x-1)
(x-1)(x-1)
Front: (x*x) = x^2
Outer: (x*-1) = -x
inner: (-1*x) = -x
Last: (-1*-1) = 1
Added: x^2 -2x +1
Now take that answer and do the same thing with (x-1). It's basically the same thing, just with an added thing you need to multiply.
(x-1)(x^2-2x+1)
(x*x^2) = x^3
(x*2x) = 2x^2
(x*1) = x
(-1*x^2) = -x^2
(-1*-2x) = 2x
(-1*1) = -1
Now add everything together:
x^3+2x^2+x-x^2+2x-1
The answer is:
x^3+x^2+3x-1
3 0
3 years ago
Please Show Work.
s344n2d4d5 [400]

Answer:

\huge\boxed{x=17}

Step-by-step explanation:

It's important to note that when two angles create a straight line, they are supplementary.

This means their angle measures add up to 180° since a 180° angle is a straight line.

Since we know the measures of both angles in equation form, we can add them together and have them equal 180 to solve for x.

(5x-18) + (4x+45) = 180

Combine like terms:

9x + 27 = 180

Subtract 27 from both sides:

9x = 153

Divide both sides by 9:

x = 17

So x = 17.

Hope this helped!

5 0
3 years ago
Read 2 more answers
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