Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 centimeters. A larger pentagon has a bottom side length of 7 centimeters and left side length of 15 centimeters. Not drawn to scale What is the value of x, rounded to the nearest tenth? 2.1 centimeters 3.3 centimeters 7.0 centimeters 15.0 centimeters

Answers

Answer 1

Answer:

[tex]x = 3.3cm[/tex]

Step-by-step explanation:

Given

Shape: Pentagon

Small

[tex]Bottom = x[/tex]

[tex]Left = 7cm[/tex]

Big

[tex]Bottom = 7cm[/tex]

[tex]Left = 15cm[/tex]

Required

Find x

From the question, we understand that the big pentagon is a dilation of the small pentagon.

What this means is that; both pentagons will have the same equivalent ratio.

The equivalent ratio, in this case is calculated using

[tex]Ratio = \frac{Bottom}{Left}[/tex]

For the small pentagon:

[tex]Ratio = \frac{x}{7cm}[/tex]

For the big pentagon:

[tex]Ratio = \frac{7cm}{15cm}[/tex]

Equate both ratios:

[tex]\frac{x}{7cm} = \frac{7cm}{15cm}[/tex]

[tex]\frac{x}{7cm} = \frac{7}{15}[/tex]

Cross multiply

[tex]15 * x = 7cm * 7[/tex]

[tex]15 * x = 49cm[/tex]

Make x the subject

[tex]x = \frac{49cm}{15}[/tex]

[tex]x = 3.267cm[/tex]

[tex]x = 3.3cm[/tex] --- approximated

Answer 2

Answer:

The answer should be 3.3

Step-by-step explanation:

I'm taking the test right now.


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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

Answer E

Step-by-step explanation

The statement gives a probability of approximately 0.022 for the difference in sample proportions, pˆA−pˆS, being greater than 0.

The interpretation of the given expression is "the difference between the population proportion of adults and the population proportion of students who prefer pop music is approximately 0.022".

Given :

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The following steps can be used in order to determine the best interpretation of the given expression:

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Step 2 - Also given that pS is the population proportion of students who live in the city who prefer pop music.

Step 3 - So, the interpretation of the given expression is "the difference between the population proportion of adults and the population proportion of students who prefer pop music is approximately 0.022".

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