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3 years ago

Trapezoid FGHI is rotated using the origin as the center of rotation. The preimage and image are graphed below.

Mathematics

2 answers:

skelet666 [1.2K]3 years ago

8 0

The rotated image if below the original image, so this shows it was rotated clockwise.

In the original image line FG is a horizontal line, if it is rotated 90 degrees, it would become a vertical line. In the rotated image line FG is at an angle, so this means it was rotated 45 degrees.

The answer is a 45 degree clockwise rotation.

Alisiya [41]3 years ago

8 0

Answer: A 45° clockwise rotation transformed FGHI to F’G’H’I’.

Step-by-step explanation:

Hi, to answer this question we have to analyze the image.

The correct option is A 45° clockwise rotation.

If we put our focus in one line of the trapezoid, for example, the line FG we can see that if we compare the line FG with F'G', F'G' is positioned in a 45° angle (positive).

Feel free to ask for more if it´s necessary or if you did not understand something.

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What is the volume of this triangular prism?

leva [86]

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3 years ago

SU and VT are chords that intersect at point R.

vovikov84 [41]

Answer:

<h2>The length of the line segment VT is 13 units.</h2>

Step-by-step explanation:

We know that SU and VT are chords. If the intersect at point R, we can define the following proportion

$\frac{RS}{RT} =\frac{RV}{RU}$

Where

$RS=SR=x+6\\RT=x+4\\VR=RV=x+1\\RU=x$

Replacing all these expressions, we have

$\frac{x+6}{x+4} =\frac{x+1}{x}$

Solving for $x$ , we have

$x(x+6)=(x+4)(x+1)\\x^{2} +6x=x^{2} +x+4x+4\\6x-5x=4\\x=4$

Now, notice that chord VT is form by the sum of RT and RV, so

$VT=VR+RT\\VT=x+1+x+4\\VT=2x+5$

Replacing the value of the variable

$VT=2(4)+5\\VT=8+5\\VT=13$

Therefore, the length of the line segment VT is 13 units.

5 0

3 years ago

Read 2 more answers

If a salesperson sells 3/4 of an acre for $80,000, what was the price per square foot rounded to two decimal spaces?

Julli [10]

Now, recalling that for 1 yard, there are 3 feet, therefore $\bf \begin{array}{ll}
yards&feet\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1yd&3ft\\
(1yd)^2&(3ft)^2\\
yd^2&3^2ft^2\\
&9ft^2
\end{array}$

and keeping in mind that, there are 4840 yd² in 1 acre, then

$\bf \cfrac{\quad \frac{3}{4}~\underline{acre}\quad }{80000~\$}\cdot \cfrac{4840~\underline{yd^2}}{\underline{acre}}\cdot \cfrac{9~ft^2}{\underline{yd^2}}\implies \cfrac{\frac{3}{4}\cdot4840\cdot 9~ft^2}{80000~\$}\implies \cfrac{\frac{130680}{4}}{80000}
\\\\\\
\cfrac{\frac{130680}{4}}{\frac{80000}{1}}\implies \cfrac{130680}{4}\cdot \cfrac{1}{80000}\implies \cfrac{3267}{8000}~\frac{ft^2}{\$}~\approx~ 0.408375 ~\frac{ft^2}{\$}$

5 0

3 years ago

Need help!!!!!!!!!!!!!

xeze [42]

Answer:

m = $14/day

w = $6/day

Step-by-step explanation:

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2 years ago

EP6. Abby works at a job that starts out paying $15 per hour. Each year she continues

Artemon [7]

Answer:

$64.83.

Step-by-step explanation:

Each year the multiplier fffor her new rate will be 1.05.

So after 30 years her hourly rate will be 15 * 1.05^30

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2 years ago