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2 years ago

Each pair of figures is similar. Find the missing side.

Mathematics

1 answer:

Kaylis [27]2 years ago

3 0

Step-by-step explanation:

Similar figures have same ratio of corresponding sides.

Set up ratios and solve for x.

x / 54 = 6 / 36
x / 54 = 1/6
x = 54/6
x = 9

x / 4 = 99 / 11
x / 4 = 9
x = 4*9
x = 36

x / 10 = 6 / 60
x / 10 = 1/6
x = 10/6
x = 5/3

x / 4 = 28 / 7
x / 4 = 4
x = 4*4
x = 16

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Step-by-step explanation:

Your expression is

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Here's how I would simplify it.

$\begin{array}{rcll}\sqrt [3] {-54x^{5}y^{6}} & = & \sqrt [3] {(-1)^{3}\times 2 \times 27 \times x^{2} \times x^{3} \times y^{6}} & \text{Factored the cubes}\\& = & \sqrt [3] {(-1)^{3} \times 3^{3}\times x^{3} \times y^{6}\times 2 \times x^{2}} & \text{Grouped the cubes}\\\end{array}$

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$\text{The simplified expression is $\boxed{\mathbf{-3xy^{2}\sqrt [3] {2x^{2}}}}$}$

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