The measures of the angles of a triangle are shown in the figure below. Solve for x. (4x-6)
73°
57°

14°

Step-by-step explanation:

Sum of angles is 180°

57 + 73 + (4x - 6) = 180

130 + 4x - 6 = 180

4x = 180 - 130 + 6

4x = 56

x = 14°

95.03 is the answer. 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