Triangle PQR has vertices P(-2,-1). Q(-1,4), and R(1,3). Triangle P'G'R' has vertices P' (-2,1).& (-1,-4), and R' (1, -3).
Which transformation maps APQR onto A P'O'R', preserving side lengths so that the triangles are congruent by SSS?
O A. reflection over the x-axis
B. reflection over the y-axis
C. reflection over the line y = x
O O
D. rotation 90° clockwise about the origin
E. rotation 180° clockwise about the origin

answer is c

step-by-step explanation:

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

answer:

a=9

step-by-step explanation: lmk if you need a explanation