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neonofarm [45]
3 years ago
13

A regular pentagon with a perimeter of 21 inches is dilated by a scale factor of 53 5 3 to create a new pentagon. What is the pe

rimeter of the new pentagon?
Mathematics
2 answers:
Anika [276]3 years ago
5 0

Answer:

The perimeter of the new pentagon is 35\ in

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z------> the scale factor

x-----> the perimeter of the dilated pentagon

y-----> the perimeter of the original pentagon

so

z=\frac{x}{y}

we have

z=\frac{5}{3}

y=21\ in

substitute and solve for x

\frac{5}{3}=\frac{x}{21}

x=21*5/3=35\ in

STatiana [176]3 years ago
5 0

Answer:

35 inches

Step-by-step explanation:

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Answer:

25%

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Answer:

SAS theorem

Step-by-step explanation:

If \frac{CE}{CB} = \frac{DC}{AC} and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.

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So,  \frac{CE}{CB} = \frac{DC}{AC}  and m∠ECD = m∠BCA because vertical angles are congruent

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2 years ago
Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.
tester [92]

Given:

Polynomial is 3x^2+15x-56.

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

3x^2+15x-56+(x-8)^2

=3x^2+15x-56+x^2-2(x)(8)+8^2    [\because (a-b)^2=a^2-2ab+b^2]

=3x^2+15x-56+x^2-16x+64

On combining like terms, we get

=(3x^2+x^2)+(15x-16x)+(-56+64)

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Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is 4x^2-x+8.

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Answer:

B.

Step-by-step explanation:

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3 years ago
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