20 ! hurry plzz will give ! in the diagram, m3 = x + 30 and m4 = 2x - 80. what is the measure of angle 3? a. 50° b. 80° c. 110° d. 140°

D. 140°.

Step-by-step explanation:

We have been given an image of two intersecting lines. We are asked to find the measure of angle 3.

We know that when two line intersect they form two pairs of vertical angles.

Since angle 3 and angle 4 are vertical angle, they will be equal in measure. Using this information, we can set an equation as:

Upon substituting the expression for angle 3 and angle 4 is our equation we will get:

Upon dividing both sides of our equation by -1, we will get:

Upon substituting in expression for angle 3, we will get:

Therefore, the measure of angle 3 is 140 degrees and option D is the correct choice.

$12. that is my answer.

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺