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netineya [11]
3 years ago
12

I am not to sure how to do this, I have looked over the lesson and nothing like this will pop up.

Mathematics
1 answer:
nadezda [96]3 years ago
4 0
In parallelograms, opposite sides are equal.
So, side EH = FG
That means x + 27 = 5x +3
24 = 4x
x = 6
EF = HG
and EF is (1/4) FG

FG = 5x + 3
FG = 33
EF = .25 * 33
EF = 8.25
Therefore HG = 8.25


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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
seropon [69]

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.

8 0
3 years ago
Write a life situation for the inequality x<2
iVinArrow [24]

Answer:

see below (I hope this helps!)

Step-by-step explanation:

A real-life situation for this inequality could be "Tom runs a lemonade stand. His profit is x. If Tom knows that his profit is less than 2 dollars, what inequality represents this situation?"

3 0
3 years ago
What is the solution got the graphed system of equations ? <br><br> Help please :(
Anvisha [2.4K]

Answer:

It's where they meet! I can't really see the coordinate clearly, but if I could I would tell you already.

8 0
3 years ago
Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. 6 sqrt 2
Gemiola [76]
Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
x = 45°.

There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2
a = b = c \div  \sqrt{2} \\ c  = a\sqrt{2}  \\ c = 6 \sqrt{2} \times \sqrt{2}  = 6 \times 2 = 12
Another way to do it is the longer proof of Pythagorean Theorem:
{c}^{2}  =  {a}^{2}  +  {b}^{2}... \:  \:  c =   \sqrt{({a}^{2}  +  {b}^{2})}  \\
c= \sqrt{({6 \sqrt{2}) }^{2} + ({6 \sqrt{2})}^{2}}  \\ =  \sqrt{(2 \times{(6 \sqrt{2} )}^{2} )}  =  \sqrt{2(36 \times 2)}  \\ c =  \sqrt{144}  = 12

7 0
3 years ago
What is .74 repeating as a fraction?
Sedaia [141]
The answer to your question is 74/99:D
8 0
3 years ago
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