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3 years ago

ABCD∼EFGH AD=45 in. , EH=75 in. , and AB=30 in. What is EF ? Enter your answer in the box. EF = in.

1 answer:

6 0

The ~ symbol means that the 2 shapes are similar, meaning the same shape but not the same size.

To determine the measure of side length EF, you must find the relationship between the 2 side lengths.

You should set these up as ratios of the length to the width. So, for ABCD, it is 30/45. Make this equal to x/75. If you simplify the first ratio to 2:3, you can then multiply by both numerator and denominator by 25 to get x = 25 in/ 75 in.

Another way is to use cross products with you proportion. 75 x 30 = 45x. Solve for x to get 50 inches.

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Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m

Dovator [93]

Option a: $\frac{m^{5} }{162n}$ is the equivalent expression.

Explanation:

The expression is $\frac{(3m^{-2} n)^{-3}}{6mn^{-2} }$ where $m\neq 0, n\neq 0$

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

$\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }$

Cancelling the like terms, we have,

$\frac{3^{-3}m^{5} n^{-1}}{6 }$

This equation can also be written as,

$\frac{m^{5}}{3^{3}6 n^{1} }$

Multiplying the terms in denominator, we have,

$\frac{m^{5} }{162n}$

Thus, the expression which is equivalent to $\frac{(3m^{-2} n)^{-3}}{6mn^{-2} }$ is $\frac{m^{5} }{162n}$

Hence, Option a is the correct answer.

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3 years ago

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Are computers better than a straight edge and compass

serious [3.7K]

Answer:

Yes

Step-by-step explanation:

They are exact and you can't mess up or accidentally slide the compass or straightedge around. This is just my opinion though.

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3 years ago

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(Geometry) Could anyone help me with this please and thanks

Ket [755]

Answer:

z = 32/3

Step-by-step explanation:

Presuming all the horizontal lines are parallel, the ratios of lengths will be identical.

3/8 = 4/z

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z = 32/3

8 0

3 years ago

Please help me with this problem. How do I find x?

inysia [295]

Assuming that is 2 right triangles sharing a side
height^2 = 20^2 -7^2
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3 years ago

Jose will travel 268 km with his family this weekend. How many miles will he travel? Round to the nearest hundredth.

Vinil7 [7]

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3 years ago