Answer:
Step-by-step explanation:
3x > 15 2x > 12 x + 1 < 8 7x < 42
/3 /3 /2 /2 -1 -1 /7 /7
x > 5 x > 6 x < 7 x < 6
The correct answer to this question is: " A valid reason why the quadrilateral shown below is a parallelogram is that "B. All pairs of consecutive angles are supplementary."
The choices are:
A. Both pairs of opposite angles are congruent
B. All pairs of consecutive angles are supplementary
C. Both pairs of opposite sides are parallel
D. All pairs of consecutive angles are complementary
Answer: Joe has initial amount of $12 ( when he played no game).
Step-by-step explanation:
Given: Joe took $12 to the arcade. Each game cost $.50 to play.
This situation can be modeled with the equation 
Here,
Money Joe has remaining is repreesnted by 'y', and the number of games he plays is represented by 'x'.
Since y-intercept gives the initial value of the function when x=0.
To find y-intercept , we out x=0 in funtion , we get

So , y-intercept of this function is at y=12.
Meaning of the y-intercept in the terms of this problem :
Joe has initial amount of $12 ( when he played no game).
Answer:
170,070 residents
Step-by-step explanation:
Original population = 1500 residents
Total population after 6 years is calculated using the formula
A = P(1+r)^t
r is the rate = 120% = 1.2
t is the time = 6 years
P is the original population
A = 1500(1+1.2)^6
A = 1500(2.2)^6
A = 1500(113.379904)
A = 170,069.856