What are the measures of angles A, B and C? show your work and explain your answers.

PLEASE HELP!!​

<a = 30

<b = 60

<c = 115

Step-by-step explanation:

<a = 30 since they are vertical angles and vertical angles are equal

<a + < b + 90 = 180 since they make a triangle

30 + <b +90 = 180

120 + <b = 180

<b = 180-120

<b = 60

<c + 75 = 180 since they form a straight line

<c = 180-75

<c = 115

a=30

b=60

c=105

Step-by-step explanation:

We know a=30 because 30 and a are the same

The middle forms a triangle and triangles are equal to 180

The box indicates that the angle is 90 degrees

180=a+b+90

180=30+90+b

b=60

Angle c is supplementary to 75 so it must equal 180

180=c+75

c=105

Let me know if you have any questions!

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

answer:

step-by-step explanation: