In the given parallelogram, the sum of the adjacent angles P
and Q is ___.

Solve the system of equations by elimination :
7X - 4Y = - 12
X - 2Y = 4

Richard and teo have a combined age of 31 . Richard is 4 years older than twice teo's age. How old are Richard and teo?

Tips to help you answer the questions on the problems of age: a.) The age after n years will be (x+n) if you assume that the current age is x.
b.) The age before n years will be (x-n) if you assume the present age to be x.
c.) If the age is expressed as a ratio, p:q, the age will be rounded to the nearest multiple of q and p.
d.) Given that you are assuming you are currently x years old, n times that number equals (xn) years.
E.g.:The father is three times older than Ronit. So he would be 2.5 times Ronit's age after '8' years. How many more times would he be Ronit's age after another '8' years?
A. 2 times
B. 2 1/2 times
C. 2 3/4 times
D. 3 times

Solve the following by using the method of substitution
Y =  X - 2
3X - 2Y = 7

Solve the system of equations by elimination :
3X - 7Y = 16
5X - 4Y = 19

Angles 1 and ___ are corresponding angles.

The Sum of two numbers is 4 The larger number is 12 more than three times the smaller number. What are the numbers?

3X - 2Y = 38
X = 6 - Y

A floor plan of a room is shown in the diagram. What would be 
the measure of angle P?

The cost to manufacture 5 toys is 17.50 ; The cost to manufacture 10 toys is $30. Construct a linear function in the form y = mx + b that represents the relationship between the number of toys that produced and the cost of producing them.

Solve the following by using the method of substitution
Y = X + 3
6X + Y = 17

In a basketball game, the bulldogs make a total of 21 shots. Some of the shots are 2 - point shots while others are 3 point shots. The bulldogs score a total of 50 points. How many 2 point and 3 point shots did they make?

Solve the system of equations by elimination :
6X + 12Y = - 6
3X - 2Y = - 27

A Plan for a skateboard ramp shows that the plywood for the triangular sides of the ramp should be cut such that for every 9 inches of height, the triangle should have a base that is 33 inches long. What is the height of the skateboard ramp shown :

Which postulate should be used to find the value A?
 


a. Alternate Interior Angles Theorem
b. Vertical angles congruence Theorem
c. Alternate Exterior Angles Theorem
d. Corresponding Angles Postulate

Stay fit gym charges a membership fee of .They Offer karate classes for an additional fee.

b) How Much would they pay ?