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OverLord2011 [107]
3 years ago
10

Help! I need this for tm5/3/16

Mathematics
1 answer:
Digiron [165]3 years ago
3 0
See attached diagram.

In the first example:
Ratio of sides is 2/1
Ratio of perimeters is 2/1
Ratio of areas is 4/1

In the second example:
Ratio of sides is 3/1
Ratio of perimeters is 3/1
Ratio of areas is 9/1

We can derive these formulas:
Ratio of sides is a/b
Ratio of perimeters is a/b
Ratio of areas is (a/b)²

For #7, just draw the first example's diagram.
You may not need to label all the sides, though.

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The sum of four times a number and five times another number is -28. The sum of nine times the first number and two times the se
Rina8888 [55]

Answer:

<h2>3 and -8</h2>

Step-by-step explanation:

x,\ y-the\ numbers\\\\\text{The sum of four times a number and five times another number is -28:}\\\\4x+5y=-28\\\\\text{The sum of nine times the first number and two times the second number is 11:}\\\\9x+2y=11\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}4x+5y=-28&\text{multiply both sides by2}\\9x+2y=11&\text{multiply both sides by (-5)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}8x+10y=-56\\-45x-10y=-55\end{array}\right}\qquad\text{add both sides of the equation}

.\qquad-37x=-111\qquad\text{divide both sides by (-37)}\\.\qquad\qquad\boxed{x=3}\\\\\text{Put the value of x to the first equation:}\\\\4(3)+5y=-28\\12+5y=-28\qquad\text{subtrac 12 from both sides}\\5y=-40\qquad\text{divide both sides by 5}\\\boxed{y=-8}

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3 years ago
Will give BRAINLIEST to correct answer.<br><br> Given that ℓ1 ∥ ℓ2, find x.
lisov135 [29]

X = 38

2x is equal to the angle next to the x + 66 angle because ℓ1 ∥ ℓ2 is parallel so:

2x + x + 66 = 180 -- combine like terms

3x + 66 = 180 -- subtract 66 from both sides

3x = 114 -- divide by 3 on both side

x = 38

5 0
3 years ago
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