Choose the letter of the correct answer. Write the letter before each number, 1. Which of the following statements is CORRECT when parallel lines are out by a
transversal?
A. The sum of the degree measure of complementary angles is 180°
B. The sum of the degree measure of corresponding angles is 180°
C. The angles in linear pair are supplementary.
D. Corresponding angles are not congruent.
2. Which of the statements below is CORRECT?
A. Any two acute angles are supplementary,
B. Altemate exterior angles form a linear pair
C. Corresponding angles are complementary
D. Same-side interior angles are supplementary,
3. In Figure 1, which of the following guarantees that alb
A 21 27
t
B. 23225
C24 225
1 2
D. 24 227
56
8
Figure 1
b

a

Step-by-step explanation:

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

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 ☺