Answer:
? = 4.29
Step-by-step explanation:
Remark
Let x be the question mark. You get the proportionality by using the dimensions of the little triangle to the dimensions of the large triangle.
Equation
14/(14+ 4) = 15/(x + 15) Combine like terms on the left
14/18 = 15/(x + 15) Cross multiply
14*(x + 15) = 18 * 15 Simplify the right
14(x + 15) = 270 Divide by 14
x + 15 = 270 / 14
x + 15 = 19.29 Subtract 15 from both sides
x = 19.29 - 15
x = 4.29
RP is 3 units long and its transformation R'P' is 1 unit long
R'P' = 1/3 * RP
so the scale factor is 1/3
Answer:
π/4
Q1
Step-by-step explanation:
Other options for arctan(1) is 5π/4 + nπ, where n is a whole number, but they are all outside the Range.
Answer:
1/5
Step-by-step explanation:
The constant of proportionality is the slope
y/x since the line goes through (0,0)
y=1 and x=5 at the point given
1/5