Hey the answer to your question is 10
Answer:
A dilation stretches or shrinks the original figure. A description of a dilation includes the scale factor (or ratio) and the center of the dilation. The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch).
1) given that those two lines are parallel, we can deduce that 9/45=x/75.
9/45 simplifies to 1/5 so 1/5 = x/75. Cross multiply to get this: 5x = 75.
Divide both sides by 5 to get x.
Final answer: x = 15
2) Again, we can set up a proportion to solve for x because we know the lines are parallel. 24/36=x/12. 24/36 simplifies to 2/3 so 2/3=x/12. Cross multiply to get this: 3x = 24. Divide both sides by 3 to get x.
Final answer: x = 8
Distance traveled during the first 4 hours: 500 m Note that the rate here was 125 m/hr.
Distance traveled during the next four hours: 3(125 m/hr)(4 hr) = 375 m
Total distance traveled: 500 m + 375 m = 875 m
Simplify 9 /12 and we get:
3/4
which is the same.
