Answer: D. 2.5
Step-by-step explanation:
Given : Line segment DF is dilated from the origin to create line segment D’F’ at D' (0, 10) and F' (7.5, 5).
The original coordinates for line segment DF are D(0, 4) and F(3, 2).
We know that the scale factor(k) is the ratio of the coordinates of the image points and the original points.
Then, 
Hence, the scale factor was line segment DF dilated by = 2.5
Answer:
1. 
2. 
Step-by-step explanation:
1. Russell is 5'9'' (under 6 feet). There are 130+120+35=285 players with the height under 6 feet and 120 of them are forwards. The probability that Russell is a forward is

2. Peter is 6'2'' (over 6 feet). There are 25+30+30=85 players with the height over 6 feet and 25 of them are guards. The probability that Peter is a guard is

Answer:
x>−2
Step-by-step explanation:
−4x<8
Step 1: Divide both sides by -4.
−4x
−4
<
8
−4
x>−2
So 52 weeks in a year so
13,644.8/52=262.4 per week
53.8 is deducted from 262.4
so the deduction is 53.8 then the answer is
262.4-53.8=208.6
the 10% and 15% part is of the yearly income and 53.8 is 15% of 262.4 so that part doesn't matter
the answer of net pay is 208.6 dollars
Answer:
see below
Step-by-step explanation:
A = pi r^2
If they have the same radius they have the same area
A two circles = pi r^2 +pi r^2
= 2 pi r^2
If we double the radius
A = pi (2r)^2
= pi 4r^2
The combined area of two circles is 1/2 the area as the area of a circle with twice the radius.