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Lelechka [254]
2 years ago
14

The following figure is a rhombus. Find the value of m. Then, use that value to find the measure of VW

Mathematics
1 answer:
maxonik [38]2 years ago
3 0

Answer:

  • m=8
  • The length of VW = 36 units.

Step-by-step explanation:

We know that a rhombus is a quadrilateral with four sides. All four sides have the same length.

From the diagram, it is clear that

  • The length of VW= 6m-12
  • The length of WX = 4m+4

As all the four sides of the rhombus have equal length.

So we can observe

VW=WX

6m-12 = 4m+4

Add 12 to both sides

6m-12+12=4m+4+12

6m=4m+16

2m=16

Divide both sides by 2

\frac{2m}{2}=\frac{16}{2}

m=8

so

The length of VW= 6m-12

                             = 6(8)-12  ∵ m=8

                              = 48-12

                              = 36

Thereofore, the length of VW = 36 units.

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For which equation is m = 12 the solution? a. 4m=40 b. m+20=42. c. 4m=48. d. m-4=9
Gelneren [198K]
To solve this question, we just need to insert 12 into the m position of each question and see if the equation holds true.

a. 4m = 40

4(12) = 40

48 = 40

48 obviously does not equal 40, so it is not choice A.

b. m + 20 = 42

12 + 20 = 42

32 = 42

Again, 32 isn't the same as 42, so not choice B either.

c. 4m = 48

4(12) = 48

48 = 48

It looks like this one is true, but let's solve D also just to make sure.

d. m - 4 = 9

12 - 4 = 9

8 = 9

This is false, since 8 does not equal 9.

Therefore, choice C (4m = 48) is the correct answer.
Hope that helped! =)
6 0
2 years ago
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A microwave oven costs $124. 85 before it is marked down. If it is marked down by 63%, what is its new price, to the nearest cen
Nuetrik [128]

Answer:

d. 46.19

Step-by-step explanation:

y=124.85(0.37)

to figure out the percent decrease, subtract the percent from 100. then divide by 100 to get a decimal. multiply that decimal by the original cost to get the answer.

5 0
2 years ago
Suppose one bag contains 500 cubic inches of confetti. How many bags will Student Government need to fill 100 containers? If the
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The number of bags that they will need if each bag contains 500 cubic inches of confetti is 20,000

<h3>How to find the total volume ?</h3>

One bag contains 500 cubic inches of confetti.

Therefore,

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The student need to fill 100 containers with the bag.

Each container can accomodates 100,000 cubic inches.

Therefore,

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learn more on volume here: brainly.com/question/10224096

5 0
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Which sequence below represents an exponential sequence A.) {2,6,10,14,18,...} B.) {3,5,9,16,24,...} C.) {4,8,24,96,...} D.) {25
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Answer:

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Step-by-step explanation:

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  C. 8/4 ≠ 24/8

  D. 64/256 = 16/64 = 4/16 = 1/4 . . . . this exponential sequence has a common ratio of 1/4

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ALGEBRA 1 ASSIGNMENT QUESTIONS
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