In the next 25 years, Larry will be 35 years old, while his sister will be 3 years less than him which is 32 years old for his sister, since his sister is 3 years younger.
Answer:
x = 8
Step-by-step explanation:
It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.
30 ÷ 25 = 1.2
Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;
1.2 (35) = 4x + 10
Simplify,
42 = 4x + 10
Inverse operations,
42 = 4x + 10
32 = 4x
8 = x
Answer:
Step-by-step explanation:
The dilation will affect all the points but the point R'.
Since the scale factor is 1/2, the segment P'S' will be closer to the y-axis and will have twice as less length as the segment PS, which is 8 units.
- P'S' = 8/2 = 4 and is on different line
Correct choice is D
