Items 2-4. Points P, Q, and Sare collinear.
(3x - 5)
0
(x + 1)
s
2. What is the value of x?
3. What is m ZPQR?
will
11. M
4. If a ray QT bisects ZRQS, what
will be the measure of one of the
resulting angles?
m
of
5. Points L, M, and N are collinear.
You are given LM = 5 and LN = 17.
What is a possible value of MN?
Flb
6. Ray BD bisects ZABC so that
mZDBC = x + 6 and
mZABD = 2x - 12. What is x?

See below

Step-by-step explanation:

2

∠PQR and ∠RQS are supplementary, which add up 180°

Sum:

3

4

From the picture and the value of x we got above:

QT bisects ∠RQS and we get two equal angles

Each will measure:

5

LM = 5, LN = 17, MN = ?

If L is between M and N, then

M is between L and N, then

5

Ray BD bisects ∠ABC, then formed angles are equal:

m∠DBC = m∠ABD

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.