Answer:
Step-by-step explanation:
R-value can range from -1 to 1 with correlation being strongest at -1 and 1 and weakest at 0.
So the answer is D. -0.9.
Answer:
1 pound is 453.6 grams appox
Step-by-step explanation:
to calculate how many grams is 2 pounds, u can do 2x453.6 which would be 907.2
for all others i have an attached file :)
First, you convert 5% to decimal. For your info, percents are always equal to 100. So, you divide 5 by a 100, which gives you 0.05. Then, you multiply 2.95 by 0.05. 2.95 x 0.05 is 0.1475 which is about 0.15. Then, you add 0.15 to 2.95. The total cost of a $2.95 notebook plus 5% is about $3.10.
<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 :)
