<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
<u>Let's check the choices:</u>
<u>1- </u><span><u>The corresponding sides of the triangles are congruent:</u>
This option is incorrect as dilation changes the lengths of the sides
<u>2- </u></span><span><u>The corresponding angles of the triangles are congruent:</u>
This option is correct as neither dilation nor rotation alters the measures of the angles
<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
Answer:
Rory has 168 cups of water
Step-by-step explanation:
Since 1 Gallon is equals to 1 cups, multiply it by 10 gallons then add 8 cups to it
<u><em>Hope this helps</em></u>
Answer:
B. How many total customers were at the story today?
Step-by-step explanation:
Option 'B' is not a statistical question because there is not more than one answer.
There is only one answer to this question.
Option 'A,' 'C,' and 'D' are statistical questions because there is more than one answer.
<em>What amounts did each person at the store spend on their purchase?</em>
This question has more than one answer.
<em>How long did each customer spend shopping at the store?</em>
<em>What are the heights of each customer who entered the store?</em>
These questions have more than one answer as well.
Statistical questions are questions that have more than one answer. This means you can collect data.
I, therefore, believe that option 'B' is not a statistical question.
Answer:
The answer is "
".
Step-by-step explanation:
Therefore in this question the "bh" were the multiplied and these values includes the variable which is solving by the isolating of "b".
Let's Divides the both sides for h.
