Determine the value of x in the figure. answers: A) x = 94 B) x = 43 C) x = 141 D) x = 137

D

Step-by-step explanation:

Since the triangle has 2 congruent sides then the triangle is isosceles and the base angles are congruent.

base angle = = = 43°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 94 + 43 = 137 → D

let y be the angles in the triangle

Angles in a triangle add up to 180

Since both angles are equal

94 + y + y = 180

2y = 180 - 94

2y = 86

y = 43

For angle x

Angles on a straight line add up to 180

x + y = 180

y = 43

x = 180 - 43

x = 137°

answer: what do you mean

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