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3 years ago

Why is it NOT necessary to use the words clockwise & counterclockwise when describing a rotation of a 180° angle?

2 answers:

5 0

It does not matter because if you did two 180 degree angles, and you did one clockwise and one counter-clockwise, you would still get the same look of angles

kenny6666 [7]3 years ago

3 0

Because you could be rotating clockwise OR counterclockwise.

Hope that makes sense!!!

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2. Draw the image of RST under the dilation with scale factor 2/3 and center of dilation (1,-1). Label the image RST .

professor190 [17]

Answer:

From the graph: we have the coordinates of RST i.e,

R = (2,1) , S = (2,-2) , T = (-1,-2)

Also, it is given the scale factor $\frac{2}{3}$ and center of dilation C (1,-1)

The mapping rule for the center of dilation applied for the triangle as shown below:

$(x, y) \rightarrow (\frac{2}{3}(x-1)+1, \frac{2}{3}(y+1)-1)$

$(x, y) \rightarrow (\frac{2}{3}x -\frac{2}{3}+1 , \frac{2}{3}y+\frac{2}{3}-1)$

$(x, y) \rightarrow (\frac{2}{3}x+\frac{1}{3} , \frac{2}{3}y-\frac{1}{3} )$

Now,

for R = (2,1)

the image R' = $(\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(1)-\frac{1}{3} )$ or

$(\frac{4}{3}+\frac{1}{3} , \frac{2}{3}-\frac{1}{3} )$

⇒ R' = $(\frac{5}{3} , \frac{1}{3})$

For S = (2, -2) ,

the image S'= $(\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} )$ or

$(\frac{4}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )$

⇒ S' = $(\frac{5}{3} , -\frac{5}{3})$

and For T = (-1, -2)

The image T' = $(\frac{2}{3}(-1)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} )$ or

$(\frac{-2}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )$

⇒ T' = $(\frac{-1}{3} , \frac{-5}{3})$

Now, label the image of RST on the graph as shown below in the attachment:

5 0

2 years ago

. Express 3/7 as a rational number with denominator 91.<br>(1 Point)<br>

grin007 [14]

Answer:

$\frac{39}{91}$

Step-by-step explanation:

Given

$\frac{3}{7}$

To express as a rational number with 91 on the denominator.

91 ÷ 7 = 13

Thus multiply the numerator and denominator by 13, that is

$\frac{3(13)}{7(13)}$ = $\frac{39}{91}$

7 0

2 years ago

How to order the following fractions<br><br> 3/4 9/16 3/16 7/8 3/8

Dimas [21]

Comparison of fractions is easiest when they all have a common denominator, in this case we can make them all have a common denominator of 16...

12/16, 9/16, 3/16, 14/16, 6/16 so from least to greatest...

3/16, 3/8, 9/16, 3/4, 7/8

7 0

3 years ago

Read 2 more answers

The first equation from the previous system of

VladimirAG [237]

Answer: (3, -2)

Step-by-step explanation:

The solution to the system is where the graphs intersect.