Will give brianiest to correct only
answer the questions below. when you are finished, submit this assignment to your teacher by the due date for full credit.

total score: of 15 points

(score for question 1: of 3 points)

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 east on 4th street and turns onto king avenue heading northeast. 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 left 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 3rd 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:

a) supplementary angles. 180-75 is 105

b) 75. same as kings ave

c) supplementary angles. also vertical angles 180-75 is 105

7

step-by-step explanation:

the answer would be 7

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt