<u><em>Answers:</em></u>
Rotating
Reflecting
Translating
<u><em>Explanation:</em></u>
Congruence transformation is a transformation that does not change neither the side lengths nor the measures of the angles.
This means that the formed image is an exact copy of the original figure
<u>Now, let's check the options:</u>
<u>1- Shrinking:</u> This means that we are decreasing the side lengths.
This option is incorrect
<u>2- Rotating:</u> This means that we are just changing the orientation of the figure without altering any measurements.
This option is correct
<u>3- Reflecting:</u> This means that we are just changing the orientation of the figure without altering any measurements.
This option is correct
<u>4- Stretching:</u> This means that we are increasing the side lengths.
This option is incorrect
<u>5- Translating:</u> This means that we are just changing the position of the figure without altering any measurements.
This option is correct
Hope this helps :)
Answer:
x = 16
Step-by-step explanation:
Given a tangent and a secant from an external point to a circle, then
The product of the external part and the whole of the secant is equal to the square of the tangent, that is
9(9 + x) = 15²
9(9 + x) = 225 ( divide both sides by 9 )
9 + x = 25 ( subtract 9 from both sides )
x = 16
Answer:
y=7 and x=-8
Step-by-step explanation:
Isolate x in the first equation:
10x=-17-9y
x=(-17-9y)/10
Substitute into the second equation:
7*((-17-9y)/`10)+10y=14
-119/10+37y/10=14
-119+37y=140
37y=259
y=7
Putting this into the first equation, we get that x=-8
I would say there is 18 girls in the club b/c the ratio is 3:4 there would be one more group of boys than girls. you divide 24 by y and you then subtract 6 from 24 to get 18.
2/3 of 1 1/2 = 1 quart blue paint
5/6 of 3 3/5 = 3 quarts red paint
1 quart blue paint + 3 quarts red paint = 4 quarts purple paint