1. all numbered streets runs parallel to each other. both 3rd and 4th streets are intersected by king ave. as shown:

(a) suppose a car is traveling west on 4th street and turns onto king avenue heading south. what is the measure of the angle created by the car's turning? explain your answer.

(b) suppose a car is traveling southwest on king avenue and turns right onto 3rd street. what is the measure of the angle created by the car's turning? explain your answer.

(c) suppose a car is traveling northeast on king avenue and turns right onto 4th street. what is the measure of the angle created by the car's turning? explain your answer

(a) 105°

(b) 75°

(c) 105°

Step-by-step explanation:

According to the options, we have,

(a) The car is travelling west on the 4th street and turns towards south on King Avenue.

So the angle (a) will be the angle made by the car's turning.

As, ∠(a) + 75° = 180°

i.e. ∠(a) = 180° - 75°

i.e. ∠(a) = 105°

(b) The car is travelling southwest on the King Avenue and turns right onto 3rd street.

So the angle (b) will be the angle made by the car's turning.

As, 3rd and 4th street are parallel. So, the corresponding angles have equal measures.

Thus, ∠(b) = 75°

(c) The car is travelling northeast on the King Avenue and turns right onto 4th street.

So the angle (c) will be the angle made by the car's turning.

As, ∠(c) + 75° = 180°

i.e. ∠(c) = 180° - 75°

i.e. ∠(c) = 105°

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