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IgorLugansk [536]
3 years ago
13

Prove: The sum of two multiples of 3 is a multiple of 3

Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0

Answer:

  3 . . . goes in both boxes

Step-by-step explanation:

Use the distributive property. Remove the common factor to outside parentheses:

  3(m +n) = a multiple of 3

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What is the slope of line PQ?
Anit [1.1K]

Answer:

Step-by-step explanation:

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by the formula,

Slope = \frac{y_2-y_1}{x_2-x_1}

Slope of the line PQ passing through the two points P(-8, 2) and Q(4, 2) will be,

Slope 'm_1' = \frac{2-2}{-8-2} = 0

Therefore, slope of the line PQ parallel to the x-axis = 0

Slope of the line MN passing through the points M(8, 6) and N(8, -8) is,

Slope 'm_2' = \frac{6+8}{8-8} = ∞

Therefore, slope of the line MN parallel to y-axis is undefined.

Since, angle between the x-axis and y-axis is 90°,angle at the intersection  point between the lines parallel to x and y axis will be 90°.

These lines are perpendicular to each other.

4 0
4 years ago
The price of a DVD movie was reduced from $20 to $18. By what percentage was the price of the DVD movie reduced? *
Alla [95]

Answer:

A. 10%

Step-by-step explanation:

First calculate how much percentage is in one dollar, which is 5% per dollar, then times that by how much money is deducted which is $2, and you will get your answer 10%.

Hope this helps good luck!

6 0
3 years ago
Find the dimensions of a rectangle with a perimeter of 52cm if it’s length is 4cm more than its width
Zina [86]
So the perimeter(P) of a rectangle would be:
P= 2L+2W
L being the length and W being the width.
The problem says the length is 4cm more than the width, so L= 4+W.
So if we substitute L with 4+W, we get:
P= 2(4+W) + 2W
Use the Distributive Property
P= 8+2W+2W
Combine like terms
P=8+4W
Since we're given the perimeter, we could replace P with 52. So:
52=8+4W
Subtract 8 to both sides
44=4W
Divide 4 to both sides
11=W
Therefore, the width is 11cm
And since the length is 4cm more than the width, we could add 4cm to 11cm to find that the length is 15cm
Thus, the dimensions of the rectangle are 15cm by 11cm
5 0
4 years ago
A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to th
spayn [35]
Hyp=100,adj side=30

angle=cos^{-1}(30/100)
6 0
3 years ago
Read 2 more answers
2/4 + 10/4=<br> 1<br> 3<br> 7<br> 10
eimsori [14]

Answer:

3

Step-by-step explanation:

10/4 = 2 1/2

2 1/2 + 2/4 = 3

5 0
4 years ago
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