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shepuryov [24]
3 years ago
8

Which question matches with the mathematical problem

Mathematics
1 answer:
vlabodo [156]3 years ago
8 0

Answer:

\boxed{\sf Associative \:property\: of \:addition}

  • \sf (4 + 5) + 2 = 4 + (5 + 2)

\boxed{\sf Distributive \:property}

  • \sf 2(2x + 4) = 4x + 8

\boxed{\sf Associative\: property \:of \: multiplication}

  • \sf ( 7 * x ) *3 = 7 (x *3)

\boxed{\sf Commutative \:property\: of \:multiplication}

  • \sf ( 8* x *2) = (x *8* 2)

\boxed{\sf Commutative \:property \:of \: addition}

  • \sf ( 7 + 3) + 1 = 1 + (7 + 3)

________________________________

Associative property of addition: Changing grouping of addends doesn't change the sum.

Distributive property: Multiplying a sum by a number is the same as multiplying each addend by that number and then adding the two products.

Associative property of multiplication: Changing grouping of the factors doesn't change the products.

Commutative property of multiplication: Changing order of the factors doesn't change the products.

Commutative property of addition:  Changing order of addends doesn't change the sum.

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Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k
tresset_1 [31]

Answer:

a) Similar

b) Perimeter of rectangle 2 is k times the Perimeter of rectangle 1 (Proved Below)

c) Area of rectangle 2 is k^2 times the Area of rectangle 1 (Proved Below)

Step-by-step explanation:

Given:

Rectangle 1 has length = x

Rectangle 1 has width = y

Rectangle 2 has length = kx

Rectangle 2 has width = ky

(a) Are Rectangle 1 and Rectangle 2 similar? Why or why not?

Rectangle 1 and Rectangle 2 are similar because the angles of both rectangles are 90° and the sides of Rectangle 2 is k times the sides of Rectangle 1. So sides of both rectangles is equal to the ratio k.

(b) Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1.

Perimeter of Rectangle = 2*(Length + Width)

Perimeter of Rectangle 1 = 2*(x+y) = 2x+2y

Perimeter of Rectangle 2 = 2*(kx+ky) = 2kx + 2ky

                                          = k(2x+2y)

                                          = k(Perimeter of Rectangle 1)

Hence proved that Perimeter of rectangle 2 is k times the perimeter of rectangle 1.

(c) Write a paragraph proof to show that the area of Rectangle 2 is k^2 times the area of Rectangle 1.

Area of Rectangle = Length * width

Area of Rectangle 1 = x * y

Area of Rectangle 2 = kx*ky

                                  = k^2 (xy)

                                  = k^2 (Area of rectangle 1)

Hence proved that area of rectangle 2 is k^2 times the area of rectangle 1.

4 0
3 years ago
How do you break apart 3 x 5
Burka [1]
You have to separate 3 five times so like 3+3+3+3+3=15
6 0
3 years ago
Based on the graph shown below what value is the 25th percentile?
Pavel [41]

Answer:

17

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
A. y=1/2x-2 <br> b. y=-1/2x+3<br> c. y=2x+1<br> d. y= -2x+4
Lyrx [107]

d. y=-2x+4

this is because in the formula used y=mx+b, b is represented as the the "y" intersept, which is 4. the slope, which is -2, is represented as x in this formula. therefore, D. y=-2x+4 is the correct answer

7 0
3 years ago
What is the probability the coin lands on heads and the 6-sided die lands on a number that is 3 or greater? NO LINKSS
xeze [42]

Answer:

Rolling a six-sided die and flipping a coin: The sample space is 6 • 3or 18 equally likely outcomes

Step-by-step explanation:

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6 0
2 years ago
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