Answer:
Step-by-step explanation:
Assuming the same number of bowling and mini golf games are played, let x represent the total number of games played, either bowling or mini golf. let y represent the total cost of bowling. Let z represent the total cost of golfing
Bowling cost $2 to rent a club plus $5 per game. It means that the cost, y for x bowling games will be
y = 2 + 5x
Mini golf cost $5 to rent a club, plus $4 per game. It means that the cost, y for x mini golf games will be
z = 5 + 4x
For the total cost to be the same, we will equate both equations(y = zl
2 + 5x = 5 + 4x
5x - 4x = 5 - 2
x = 3
There would be 3 games before total cost would be the same
Answer:
I think its optption B, sorry if not
Answer:
(-7,4)
Step-by-step explanation:
MN is 4/9 NP so
To find the x value
-19 and 8 are 27 apart and 27(4/9)=12
so you add 12 to the x value of P so 12+-19=-7 so the x value of N is -7
so the same for the y value
12 and -6 are 18 apart
18(4/9)=8 so you subtract 8 from the y value of P
12-8=4
so the y value N is 4
so N is
(-7,4)
These 3 problem I have answered have been almost the same except the numbers do you not understand how to do these problems and if not I can help you understand for the last question?
Answer: The missing step is,
m∠OCP ≅ m∠ABC because corresponding angles made by the same transversal on the parallel lines are congruent.
Step-by-step explanation:
Given : 
, 
And, 
We have to Prove : Angle PCQ is complementary to angle ABC
⇒ 
Proof: Since,
⇒ 
But, 
( By angle addition postulate )
⇒ 
( By transitive property of equality )
Since, ,
⇒ 
( corresponding angles made by the same transversal are congruent)
⇒ 
( By the definition of congruent angles )
This leads,
( by the transitive property of equality )
Thus, by the definition of complementary angles,
Angle PCQ is complementary to angle ABC
Hence proved.
To find out if a set satisfies the inequality, you can either plug in the points into the equation, or you can plug in the points into the graph.
Any point in the shaded area and on the line satisfy the inequality. If the inequality had a sign of < or >, then the point can not be on the line, only in the shaded area.
A.) This is a solution because they are all in the shaded area
B.) This is not a solution because (7,-2) is outside the shaded area
C.) This is not a solution because (3,3) is outside the shaded area
D.) This is not a solution because (2,1) is outside the shaded area
