I think the correct answer from the choices listed above is the first option. The statement that is true for every rotation would be that the image and pre-image are congruent. A<span>ll the rest deals with changing the rotated shape not a constant. Hope this helps.</span>

4 0

2 years ago

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When Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t

n200080 [17]

Answer:

She will use the ratio shortening to flour as 4 : 15

Step-by-step explanation:

When Mrs. Stewart makes pie dough, she uses $\dfrac{2}{3}$ cups of shortening for every $2\dfrac{1}{2} = \dfrac{5}{2}$ cups of flour.

So, for each $\dfrac{2}{3}$ cup of shortening she uses $\dfrac{5}{2}$ cups of flour.

Then, the ratio of shortening to flour in the mixture of pie dough will be

$\dfrac{\dfrac{2}{3} }{\dfrac{5}{2} } = \dfrac{4}{15}$ i.e. 4 : 15.

Therefore, she will use the ratio shortening to flour as 4 : 15 to find the amount of flour she needs when she uses 5 cups of shortening. (Answer)

3 0

2 years ago

An investor plans to invest $500 a year and expects to get a 10.5% return. If the investor makes these contributions at the end

taurus [48]

The present value of the investment is $6000.

According to the statement

Principal amount = $500

and Return amount = 10.5%

Time period = 20 years.

Now we find the present value of money then

By the formula

PV = P[1-(1+r)^n]/r

PV = 500[1-(1+0.10)^20]/0.10

PV = 6000

So, The present value of the investment is $6000.

Learn more about Return Amount here brainly.com/question/2456547

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4 0

1 year ago