The larger number is 5.
<u><em>Explanation</em></u>
Lets assume, the larger number is 
and the smaller number is 
As the sum of two numbers is 9, so...
Now, the sum of their squares is 41, so....
First, solving equation (1) for ....
Now, plugging this into equation (2) , we will get...
If 
then 
So, the larger number is 5.
Each person needs to buy at least 3 tickets, because 2 is too small
2(1.50) = 3 and 3(75) = $225
You need $250!
3(1.50) = 4.50 and 4.50(75) = $337.50
It's more than $250, but that's how it would have to be if they each buy an equal amount of tickets
Answer:
5 units²
Step-by-step explanation:
Area of the triangle = ½ × base × height
base = 2
height = 5
Plug in the values into the formula
Area = ½ × 2 × 5
Area = ½ × 10
Area = 5 units²
Answer:
Like on a test if you get extra credit.
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Given</u>
- m∠ABC = x°
- m∠BCD = 25°
- m∠CDE = 55°
- m∠DEF = 3x°
Add two more parallel lines passing through points C and D.
Consider alternate interior angles formed by the four parallel lines.
<u>The angles between the two middle lines are equal to:</u>
- m∠BCD - m∠ABC = m∠CDE - m∠DEF
<u>Substitute values and solve for x:</u>
- 25 - x = 55 - 3x
- 3x - x = 55 - 25
- 2x = 30
- x = 15
m∠ABC = 15°
