Answer:
2226202.78176
Step-by-step explanation:
Answer:
your answer is 1/4
Step-by-step explanation:
hope this helps
Answer:
Here's what I get
Step-by-step explanation:
I plotted the triangles in the diagram below.
Part A
The scale factor for dilation is ½, because every coordinate has been halved.
P (8, 0) ⟶ P' (4, 0)
Q (6, 2) ⟶ Q' (3, 1)
R (-2, -4) ⟶ R' (-1, -2)
Part B
When you reflect a point (x, y) about the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,
P' (4,0) ⟶ P" (-4,0)
Q' (3,-1) ⟶ Q" (-3,-1)
R' (-1,-2) ⟶ R" (1,-2)
∆P"Q"R" has coordinates P" (-4,0), Q" (-3,-1), R"(1,-2).
Part C
∆PQR and ∆ P"Q"R" are not congruent, because corresponding sides are not equal.
Answer:
3
Step-by-step explanation:
Triangle ABO is a right triangle, and so we can use the Pythagorean Theorem to find the radius, r:
r² + 6² = 7.5², or r² = 56.25 - 36 = 20.25
Taking the square root of both sides yields r = √20.25 = 4.5.
If the radius is 4.5, then subtracting this from 7.5 yields 3, the distance between point A and the rim of the circle.
The desired distance is 3 (Answer A).