Answer:
segment EH and segment E prime H prime both pass through the center of dilation.
Step-by-step explanation:
Center of dilation is point (0.1), same as H. Both, E(0,5) and H(0,1) are placed over y-axis, then E' and H' are also located at y-axis.
After dilation, H' is placed at (0,1) because it coincides with the center of dilation
Distance between E and center of dilation is 4 units, then E' should be at 4*3=12 units from the center of dilation and over y-axis. Therefore, E' is placed at (0, 13)
So, segment E'H' goes from (0,1) to (0,13), and pass through the center of dilation, like segment EH.
Based on the calculations, the unknown number is equal to 
- Let the unknown number be x.
<h3>How to find an
unknown number:</h3>
Translate the word problem into an algebraic expression, we have;
Adding 21 to the unknown number:

Multiplying the result by 3:

84 more than two-thirds of the unknown number:

Equating the equations, we have:

Cross-multiplying, we have:

Read more on word problems here: brainly.com/question/13170908
Answer:
6√5
Step-by-step explanation:
√15 x √12
=√3x √5 x 2 x √3
=3 x 2 x √5
=6 x √5
=6√5