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3 years ago

Name the property that justifies each statement -3(m+8)=-3m-24

Mathematics

2 answers:

zlopas [31]3 years ago

6 0

Answer: Distributive Property

Explanation: The distributive property tells us that if we're given an expression such as -3(m + 8), we can multiply the -3 by both the m and the 8.

pentagon [3]3 years ago

6 0

Yes it is Distributive property.

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Simplify the ratio 70 pounds to 42 pounds to the lowest terms.

Ilia_Sergeevich [38]

Answer:
5/3

Explanation:
The given is:
70/42
We can start by dividing both the numerator and denominator by 7 as follows:
(70/7) / (42/7)
10 / 6
The result can be further simplified by dividing both the numerator and the denominator by 2 as follows:
(10/2) / (6/2)
This will give us:
5/3
The reached result cannot be further simplified.
Therefore:
70 pounds to 42 pounds is equivalent t 5 pounds to 3 pounds in the simplest form.

Hope this helps :)

7 0

3 years ago

Read 2 more answers

The coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

daser333 [38]

Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Explanation:

It is given that coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

The distance formula for two points is given below,

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$DE=\sqrt{(2+2)^2+(4-5)^2}=\sqrt{17}$

$EF=\sqrt{(0-2)^2+(0-4)^2}=\sqrt{20}$

$FG=\sqrt{(-4-0)^2+(1-0)^2}=\sqrt{17}$

$DG=\sqrt{(-4+2)^2+(1-5)^2}=\sqrt{20}$

Slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of DE,

$m_1=\frac{4-5}{2+2}= \frac{-1}{4}$

Slope of EF,

$m_2=\frac{0-4}{0-2}= 2$

Slope of FG,

$m_3=\frac{1-0}{-4-0}= \frac{-1}{4}$

Slope of DG,

$m_4=\frac{1-5}{-4+2}= 2$

The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

3 0

3 years ago

Read 2 more answers

What grade is 92% out of 115

KatRina [158]

To calculate this, we need to do the following:

92 * 115 = 10580 (we first multiply the percentage with our number)

10580 / 100 = 105.8 (and divide what we get by 100 to get the final answer)

And this is also already the answer: 105.8

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3 years ago

Henry can write 5 pages of his novel in 3 hours. How many pages can he read in 8 hours

Neporo4naja [7]

Answer:40 pages in 8 hours

Step-by-step explanation:

5 times 8 is 40 3 times five is 15

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3 years ago

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Please help me. It’s due in 20 minutes.

egoroff_w [7]

Answer:whatever the first number was times 2

Step-by-step explanation:

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3 years ago