To determine the scale factor of the dilation, we determine the distances between the endpoints of the two lines through the equation,
d = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting the known values.
Line Segment 1: d = √(1 - 2)² + (4 - 8)² = 4.123
Line Segment 2: d = √(18 - 14)² + (12 - 1)² = 11.70
Dividing the answers will give us 0.352
It looks like it wants the arc length of the circle from point P to point E. Use the fact that there are 360 deg in a circle being subdivided by the five points of the pentagon.
Answer:
she has 3 quarters
Step-by-step explanation:
let's call the amount of dimes D
let's call the amount of quarters Q
you know that she has 11 coins in total,
so D + Q = 11.
you also know that each dime is worth 10 cents.
and each quarter is worth 25 cents.
so 10d + 25q = 155
this is a system of equations. solve by substitution:
d = 11 - q
10d + 25q = 155
10(11 - q) + 25q = 155
110 - 10q + 25q = 155
15q + 110 = 155
15q = 45
q = 45/15
q = 3
Answer: I say b B or C
Step-by-step explanation:
A. They are parallel because when you solve for y they have the same slope