Consider the given parallelogram KLMN.
Prove:
Statement Reason
1. Definition of parallelogram
2. Same Side interior angle theorem
3. Substitution property
4. Subtraction property of equality
Subtraction property of equality tells us that if we subtract some number from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.
5. Angle Congruence Postulate
When two angles are equal, then they are said to be congruent by Angle congruence postulate.
Answer:
y = 40
Step-by-step explanation:
__y_ x 8 = 8 x 5
8
y = 40
Answer: You get to keep 1,673.24
You pay 272.38 in taxes.
Answer:
See explanation
Step-by-step explanation:
Let be the number of students and be the number of adults on the show.
1. Tickets cost $15 for students, so x student tickets cost $15x.
Tickets cost $25 for adults, so y adult tickets cost $25y.
Total cost of all tickets is $(15x + 25y).
The charity show is conducted in order to raise at least $3,750, thus
2. The auditorium can accommodate up to 180 spectators, hence
3. We get the system of inequalities:
Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise