(score for question 3: of 5 points) the measure of ∠2=8x+10 and the measure of ∠4=42+6x. find the measure of ∠4. show your work and label your answer. see pg. 43 within your textbook for a sample problem.

∠4 = 78°, assuming out measurements have been taken in degrees.

Step-by-step explanation:

If ∠2 = 8x + 10 and

∠4 = 42 + 6x

We will assume that x in both cases is represented by the same number, therefore, we will first need to solve for x. We will do so by equating both angle measurement expressions.

8x + 10 = 42 + 6x        Take away 6x from both sides

2x + 10 = 42                Take 10 away from both sides to combine like terms

2x = 32                        Divide both sides by 2 to isolate x

x = 16

Knowing x, we can solve for the measure of ∠4 by plugging in 16 for x

∠4 = 42 + 6x

∠4 = 42 + 6(6)

∠4 = 42 + 36

∠4 = 78°, assuming out measurements have been taken in degrees.

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.

it goes right