Find the value of x and y that will make each quadrilateral a parallelogram.​

Step-by-step explanation:

2x+5=3x-12

or, 2x-3x=5-12

or, -x= -7

i.e X=7

again

y+4=3x+2

or, y+4=3*7+2

or, y+4=21+2

or, y+4=23

or, y =23-4

i.e y = 19

hence, the value of X is 7 and y is 19

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