Answer:
Step-by-step explanation:
Write an equation to find the number of each type of ticket they should sell. Let "x" be # of adult tickets; Let "y" be # of student tickets: Value Equation: 5x+3y=450- b. Graph your equation.y = (-5/3)x+150
c. Use your graph to find two different combinations of tickets sold. I'll leave that to you.
Answer:
Step-by-step explanation:
1. p║ q
50+130 = 180
If the same side interior angles are supplementary angles then the lines are parallel.
2. p║ q
70 = 70
If the corresponding angles are congruent the lines are parallels.
4. p║ q
x = x
If alternating exterior angles are congruent then the lines are parallel.
5. we do not know if p is parallel with q
We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines.
7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.
3x= 45 , divide both sides by 3
x= 15
For x = 15 the p║ q
8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.
2x+10 = 120, subtract 10 from both sides
2x = 110, divide both sides by 2
x = 55
For x = 55 the p║ q
X=-13/5
Simplify both sides of the equation, isolate the variable, and then you get your answer.
Answer:
12 feet
Step-by-step explanation:
A driveway is rectangular in shape.
Therefore we can calculate the area using the formula;
From the question;
The area,A=96 feet square
The width, W=8 feet
We substitute this values into the formula to find the length, L.
This implies that
Dividing through by 8.
Hence,the length of the driveway is 12 feet.
Answer:
Step-by-step explanation:
Let the base is x, then the legs are 2x each.
<u>The perimeter is:</u>
- x + 2x*2 = 50
- 5x = 50
- x = 10
The base is 10 cm and legs are 20 cm each.
