Answer: Line AC = 36
Step-by-step explanation: The first and most important clue is the fact that points B, D and F are midpoints of the triangle ACE. What this tells us is that point B divides line AC into two equal sides. Likewise points D and F. If point D divides line EC into two equal sides, then line ED equals
39/2 = 19.5
Also, triangle FED is similar to triangle AEC. Since ED is half of EC, and FE is half of AE. Therefore in triangles FED and AEC,
FD/ED = AC/EC
18/19.5 = AC/39
By cross multiplication we now have
(18 x 39)/19.5 = AC
702/19.5 = AC
36 = AC
Therefore line AC = 36
Answer:
When given a percentage of growth or decay, determined the growth/decay factor by adding or subtracting the percent, as a decimal, from 1. In general if r represents the growth or decay factor as a decimal then: b = 1 - r Decay Factor. b = 1 + r Growth Factor. A decay of 20% is a decay factor of 1 - 0.20 = 0.
Step-by-step explanation:
The answer is 9 because 3/5 to second power is 9/25 then you multiply it by 25 and you get 9
Answer:
Parallel
Step-by-step explanation:
The equation of a line in slope - intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Both given equations are in this form, that is
y =
x + 1 → m = 
y =
x - 7 → m = 
Parallel lines have equal slopes thus the lines are parallel
Answer:
35.25p + 7.5r = 185
Step-by-step explanation:
Gallons of paint: p
Rollers: r
35.25p + 7.5r = 185