15 points!
this image may be the result of
if m∠rqs is 75°, then m∠tpu is °.

fill in the blank #1 options:
a.) construction for copying line ab.
b.) construction of a line parallel to line ab through point p.
c.) construction of a line perpendicular to line ab and line pu.
d.) construction of a line perpendicular to line ab through point p.

fill in the blank #2 options:
a.) 15
b.) 75
c.) 105
d.) 150

make sure to look at picture:

Part 1) This image may be the result of the

we know that

The steps to construct a parallel through a point are

1) Using your straightedge, draw a transversal through point P (segment PQ)

2) Using the construction COPY AN ANGLE, construct a copy of the angle formed by the transversal and the given line such that the copy will be located UP at point P. The vertex of the copied angle will be point P.

3) When you draw the line to complete the angle copy, you will be drawing a line parallel to the given line.

therefore

The answer Part 1) is the option

B.) construction of a line parallel to line AB through point P.

Part 2) If m∠RQS is °, then m∠TPU is

we know that

m∠TPU= m∠RQS ------> by corresponding angles

so

m∠TPU=°

therefore

The answer Part 2) is the option

B.) 75

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 ☺