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OverLord2011 [107]
3 years ago
12

triangle DEF is congruent to triangle GHJ by the SSS theorem which rigid transformations is required to map triangle DEF onto tr

iangle GHJ
Mathematics
1 answer:
Akimi4 [234]3 years ago
6 0

Answer: D) Translation

Step-by-step explanation: I just took the test

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Mr. Jones wants to add a cement path around his new pool. The pool has a radius of 7 feet. The cement path will be 1 foot wide a
Aleonysh [2.5K]

The square footage of the path is 47.1 ft²

The area of a circle is:

A = πr²

Where r is the radius of the circle.

Let us assume that the pool is a circle.

Given that the pool has a radius (r₁) of 7 feet and a path 1 foot wide would go round the pool.

Radius of pool and cement path (r₂) = 7 ft + 1 ft = 8 ft.

The square footage of the path =  πr₂² - πr₁² = π*8² - π * 7² = 47.1 ft²

Hence The square footage of the path is 47.1 ft²

Find out more at: brainly.com/question/23328170

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2 years ago
Which of the following is a root of the polynomial shown below?
Mademuasel [1]

Answer:

We conclude that option A is true as x = 1 is the root of the polynomial.

Step-by-step explanation:

Given the polynomial

f\left(x\right)\:=\:x^2\:+\:2x^2\:-\:x-2

Let us determine the root of the polynomial shown below.

\:0=\:x^2\:+\:2x^2\:-\:x-2

0=3x^2-x-2

switch sides

3x^2-x-2=0

as

3x^2-x-2=\left(3x+2\right)\left(x-1\right)

so the equation becomes

\left(3x+2\right)\left(x-1\right)=0

Using the zero factor principle

3x+2=0\quad \mathrm{or}\quad \:x-1=0

solving

3x+2=0

3x=-2

\frac{3x}{3}=\frac{-2}{3}

x=-\frac{2}{3}

and

x-1=0

x=1

The possible roots of the polynomial will be:

x=-\frac{2}{3},\:x=1

Therefore, from the mentioned options, we conclude that option A is true as x = 1 is the root of the polynomial.

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