Answer:
m∠RQS = 72°
m∠TQS = 83°
Step-by-step explanation:
m∠RQS +m ∠TQS = m∠RQT
The two angles combine to make a larger angle
So
m∠RQS = (4x - 20)
m∠TQS = (3x + 14)
(4x - 20) + (3x + 14) = 155
Group the Xs and the constants
4x + 3x - 20 + 14 = 155
Combine like terms
7x - 6 = 155
Add 6 to both sides
7x = 161
Divide by 7 on both sides
x = 23
Check:
4(23) - 20 + 3(23) + 14 = 155
92 - 20 + 69 + 14 = 155
155 = 155
But we need to find m∠RQS and m∠TQS. So plug in x = 23 to the values.
m∠RQS = 4(23) - 20 = 72°
m∠TQS = 3(23) + 14 = 83°
Checking:
72 + 83 = 155
Answer:
72 adult tickets were sold and 114 child tickets were sold.
Step-by-step explanation:
x+y=186, 14x=10y=2148
x=186-y
14(186-y)+10y=2148
2604-14y+10y=2148
2604-4y=2148
-4y=-456
y=144
x=186-144 : x=72
Answer:
Step-by-step explanation:
let the sam's age be x
2x+5=3x-1
5+1=3x-2x
6=x
therefore sam's age is 6.