Answer:
<h2>
QS = 42</h2><h2>
</h2>
Step-by-step explanation:
R is midpoint
|<---------------- QS -------------------->|
Q---------------------R--------------------S
8x - 51 3x - 6
find: QS
QR = RS
8x - 51 = 3x - 6
8x - 3x = 51 - 6
5x = 45
x = 45/5
x = 9
QS = QR + RS
QS = (8x - 51) + (3x - 6)
plugin the value of x=9 into the equation above:
QS = (8(9) - 51) + (3(9) - 6)
QS = 72 - 51 + 27 - 6
QS = 42
Answer:the number of adults that attended the game is 135.
the number of children that attended the game is 31
Step-by-step explanation:
Let x represent the number of adults that attended the game.
Let y represent the number of children that attended the game.
There were 166 paid admissions to a game. This means that
x + y = 166
The price was $2 for adults and $.75 for children. The amount of data taken in was $293.25. This means that
2x + 0.75y = 293.25 - - - - - - - - - - 1
Substituting x = 166 - y into equation 1, it becomes
2(166 - y) + 0.75y = 293.25
332 - 2y + 0.75y = 293.25
- 2y + 0.75y = 293.25 - 332
- 1.25y = - 38.75
y = - 38.75/- 1.25
y = 31
x = 166 - y = x = 166 - 31
x = 135
By using the properties of parallel lines, it can be inferred that -
Corrosponding angle goes in the place of first question mark and substitution property of equality goes in the place of second question mark.
What are parallel lines?
Two lines are said to be parallel if on extending them indefinitely, they will never intersect
Transversal is a line that intersects two or more parallel lines
For the first question mark
[Corrosponding angle]
For the second question mark
[Substitution property of equality]
To learn more about parallel lines, refer to the link-
brainly.com/question/26961508
#SPJ1
1 hour =$26, she has an hourly rate of 26 dollars
