Triangle TVW is dilated according to the rule
DO,(x,y)(three-fourths x, three-fourths y) to create the image triangle T'V'W', which is not shown.

On a coordinate plane, triangle T V W has points (negative 4, 8), (0, 4), and (4, 4).

What are the coordinates of the endpoints of the segment T'V'?

T'(-3, 6) and V'(0, 3)
T'(-3, 6) and V'(0, 1)
T'(-1, 2) and V'(0, 3)
T'(-1, 2) and V'(0, 1)

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

The coordinates of the endpoints of the segment  [tex]T'V'[/tex]  are  [tex](-3,6), \ (0,1).[/tex]

What is dilation of triangle?

Dilation of triangle means each point is stretched outwards or inwards from the center point by multiplying by the scale factor to form a similar triangle.

We have,

Triangle [tex]T V W[/tex] which has points [tex](- 4, 8)[/tex], [tex](0, 4)[/tex], and [tex](4, 4)[/tex] on a coordinate plane.

Scale factor [tex]\frac{3}{4} x, \ \frac{3}{4} y[/tex]

It has to be dilated to create a new triangle [tex]T'V'W'[/tex] .

So,

To create a new triangle [tex]T'V'W'[/tex] we have to multiply the original triangle's coordinate by scale factor, to get new triangle's coordinate .

So, we have to dilate the coordinates by  [tex]\frac{3}{4} x, \ \frac{3}{4} y[/tex] ,

[tex]T'=(- 4, 8)=\frac{3}{4} *(-)4, \frac{3}{4} *8= (-3,6)[/tex]

[tex]V'=(0, 4)=\frac{3}{4} *0, \frac{3}{4} *4=(0,1)[/tex]

[tex]W'=(4, 4)=\frac{3}{4} *4,\frac{3}{4} *4=(0,0)[/tex]

So, the  coordinates of triangle [tex]T'V'W'[/tex] after dilation are [tex](-3,6), \ (0,1), \ (0,0)[/tex] . Hence we can say that the coordinates of the endpoints of the segment  [tex]T'V'[/tex]  are [tex](-3,6), \ (0,1).[/tex]

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15. Roberto paid $35.75 for dinner at a restaurant, plus an additional $7.15

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percent, if necessary.

Answers

Answer:

He paid 17% of the bill as a tip.

Step-by-step explanation:

Paid $35.75 for dinner at a restaurant, plus an additional $7.15 tip.

So in all, he paid 35.75 + 7.15 = $42.9

Tip as a percent:

Tip(7.15) multiplied by 100 and divided by the total(42.9). So

7.15*100/42.9 = 16.7%

Rounded to the nearest percent

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Step-by-step explanation:

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Answer:

17/5

Step-by-step explanation:

Answer:

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Answers

Answer:

x=0.5

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

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differentiate using quotient rule ​

Answers

Answer:

   [tex]h^{l} (s) = \frac{1 }{(\sqrt{s}) (1-\sqrt{s})^{2} }[/tex]

Step-by-step explanation:

Explanation

Given that

          [tex]h(s) = \frac{1+\sqrt{s} }{1-\sqrt{s} }[/tex]

Differentiating equation (i) with respective to 'x'  ,we get

       [tex]h^{l} (s) =\frac{1-\sqrt{s}) \frac{1}{2\sqrt{s} } -(1+\sqrt{s})(\frac{-1}{2\sqrt{s} )} }{(1-\sqrt{s})^{2} }[/tex]

      [tex]h^{l} (s) = \frac{\frac{1}{2\sqrt{s} } -\frac{1}{2\sqrt{s} }X\sqrt{s} + \frac{1}{2\sqrt{s} } +\frac{1}{2\sqrt{s} }X\sqrt{s} }{(1-\sqrt{s})^{2} }[/tex]

      [tex]h^{l} (s) = \frac{\frac{2}{2\sqrt{s} } }{(1-\sqrt{s})^{2} }[/tex]

     [tex]h^{l} (s) = \frac{1 }{(\sqrt{s}) (1-\sqrt{s})^{2} }[/tex]

 

     

       

         

       

Select the correct answer. Two line segments are parallel, and each is 8 cm long. How many rectangles can be constructed using this information?
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B.1
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Answers

Answer:

i think its e

Step-by-step explanation:

you can draw infinite lines connecting them to make a rectangle

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Answers

Answer:

3x + 9

Step-by-step explanation:

DO THE WORK URSELF LAZY AS

Answer:

3x - 1

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3x + 4 - 5

3x - 1

What type of rock do we have in Florida naturally. If it is not this kind of rock someone has brought it here. Group of answer choices A. igneous Rock B. Metamorphic rock C. Spanish Rock D. Sedimentary Rock

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Answers

Answer:

D. Sedimentary Rock

Explanation:

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Answers

C!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

a. y = 4x + 4

Step-by-step explanation:

Input the coords into the equation:

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Solve:

-4 = -8 + 4

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Answer:

60

Step-by-step explanation:

1. Erwin hiked 5/7 of a kilometer while
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Answers

Answer:

the number of kilometers hiked in all is [tex]\frac{29}{21}[/tex]

Step-by-step explanation:

The computation of the number of kilometers hiked in all is shown below:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

9 gummy worms

Step-by-step explanation:

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Answer:

true

Step-by-step explanation:

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Answer:

Yes

Step-by-step explanation:

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Since "change in y divided by change in x" is the slope. Change in y is -1 and change in x is +2.

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and there you have it!

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Answer:

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Step-by-step explanation:


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Answers

Answer:

28.5 cm²

Step-by-step explanation:

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Answer:

2 hours and 49 minutes

Step-by-step explanation:

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Step-by-step explanation:

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Max went to a shopping mall with $35 in his wallet. He spent two fifths of the money he had in his wallet at the bookstore. How much money, in dollars, did he have left?

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Answers

Answer:

21$

Step-by-step explanation:

Let the left money with Max be x .

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35$-(2/5)×35$=x

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Answers

Answer:

0.4

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I ports
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20%
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Answers

Answer:

25%.

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Answers

Answer:

I think the answer is 14 miles

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Answers

8,20,50,125,312.5,781.25

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Answers

Answer:

57.29

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Answers

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Recall that there are 2π radians in one full rotation and 360 degrees in one full rotation.

Suppose an angle has a measure of 2.1 radians.

This angle (with a measure of 2.1 radians) is what percent of a full rotation?
 %   

Use your work in part (i) to determine the measure of the angle in degrees.
 degrees   

Answers

Answer:  (i) This angle is 33.41% of the full rotation.

(ii) 120.38°

Step-by-step explanation:

GIven: Measure of full rotation = 2π radians

Measure of an angle = 2.1 radians.

The percent of this angles of a full rotation = [tex]\dfrac{2.1}{2\pi}\times100\%[/tex]

[tex]=\dfrac{2.1\times7}{2\times22}\times100\% \ \ \ \ [\pi =\dfrac{22}{7}]\\\\=33.41\%[/tex]

i.e. This angle is 33.41% of the full rotation.

In degrees,

[tex]\text{ 2.1 radians}=2.1\times\dfrac{180}{\pi}\\\\=2.1\times\dfrac{180}{3.14}\approx120.38^{\circ}[/tex]

[tex]2.1\text{ radians}[/tex] is [tex]33.4\%[/tex] of a full rotation and is equivalent to [tex]120.2^\circ[/tex]

The relationship between degree and radian measures is

[tex]1\text{ radian}=\dfrac{180}{\pi}^\circ[/tex]

Part 1

We want to express [tex]2.1\text{ radians}[/tex] as a percentage of a full rotation.

[tex]\dfrac{2.1}{2\pi}\times100\%=\dfrac{210}{2\pi}\%\\\\\approx33.4\%[/tex]

Part 2

How do we determine the measure of an angle (in degrees) given the percentage? Simply multiply the percentage by the complete/full rotation (that is [tex]360^\circ[/tex])

[tex]33.4\%\times360^\circ\\\\=\dfrac{33.4}{100}\times360^\circ\\\\\approx120.2^\circ[/tex]

Learn more about angular measure here https://brainly.com/question/11521023

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