3p + q = 8 and
3p - q = 10
then p+q is?

2

Step-by-step explanation:

3p + q = 8 and

3p - q = 10

then p+q is?

add up side-by-side:

6p=18 ⇒ p=3

q=8-3p= 8 - 9= -1

p+q= 3-1=2

2

Step-by-step explanation:

3p + q = 8

3p - q = 10

→ Minus the two equations away from each other which would cancel out 3p

2q = -2

→ Divide both sides by 2 to isolate q

q = -1

→ Substitute q = -1 back into 3p + q = 8

3p - 1 = 8

→ Add 1 to both sides to isolate p

3p = 9

→ Divide both sides by 3 to isolate p

p = 3

⇒ The question asks us to find p + q so,

3 + - 1

→ Remember the minus cancels out the plus

3 - 1 = 2

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.