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4 years ago

Rectangle EFGH is similar to rectangle JKLM. Which proportion can be used to find the value of x?

Mathematics

1 answer:

Levart [38]4 years ago

4 0

Answer:

C. ⁵/12= ²/x

Step-by-step Explanation:

Given that rectangle EFGH is similar to rectangle JKLM, it means the corresponding sides of both rectangles are similar, and as such the ratios if the corresponding sides of rectangle EFGH and rectangle JKLM would be equal.

Thus, EF/JK = FG/KL

Since, EF = 5; JK = 12; FG = 2; and KL= x, therefore, the proportion to use in finding x would be:

⁵/12= ²/x

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One of the ideas that you have explored in previous courses is how to describe a set of data.

Setler79 [48]

Answer:

Step-by-step explanation:

M = (35 + 40 + 12 + 16 + 25 + 10)/5

M = 138/5

M = 27.6

7 0

3 years ago

Solve the equation <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B8%7Dx%20-%2017%20%3D%2010" id="TexFormula1" titl

Annette [7]

Answer:

x = 72

Step-by-step explanation:

To solve for 'x', isolate it. This means to keep 'x' on one side of the equal sign, while moving the other numbers to the other side. The numbers on the other side will tell you what 'x' equals to.

When 'moving' a number to the other side, you cancel it out where it originally is by doing reverse operations. (Reverse operation pairs are addition/subtraction and division/multiplication). To keep an equation balanced, what you do to one side you have to do to the other.

$\frac{3}{8}x-17=10$ Keep 'x' on the left and move everything over.

$\frac{3}{8}x-17+17=10+17$ Add 17 to both sides. "-17" cancels out on the left.

$\frac{3}{8}x=27$ Simplified right side

$\frac{3}{8}x/\frac{3}{8}=27/\frac{3}{8}$ Because 3/8 originally multiplies with 'x', do the reverse: divide both sides by 3/8.

$x=27/\frac{3}{8}$ To divide a fraction, change to multiplication and flip the fraction's top and bottom numbers.

$x=27*\frac{8}{3}$ Combine the factors into one fraction.

$x=\frac{27*8}{3}$ Multiply 27 by 8 in the numerator.

$x=\frac{216}{3}$ Simplify the fraction by dividing top by bottom.

$x=72$ Final answer, solved for 'x'

5 0

3 years ago

Leo wants to paint a mural that covers a wall with an area of 300 square feet. The height of the wall is 1/3 of its length. What

andrew-mc [135]

Answer:

Length = 30

Height = 10

Step-by-step explanation:

Formula for the area = height * length. We know that the height of the wall is 1/3 of its length. This gives us another formula which is $h=\frac{1}{3} l$