The exterior angles on this diagram are angle 4 and angle 2.
We can see this because an exterior angle is the angle that forms a straight line with an interior angle, so that 180 - [interior angle] = [exterior angle].
Therefore, angles 4 and 2 are the only angles that form straight lines with interior angles, so they are thus the exterior angles.
I hope this helps!
Answer:
8 games
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Total amount = $150
Spent on Parking = 1/5 or 20% = $150 × 20% = $30
Spent on admission = $37
Spent on food = 40% = $150 × 40% = $60
Spent on admission in waterpark = $10
Each game cost = $1.5
So, let number of games played be X, then
$30 + $37 + $60 + $10 + $1.5X = $150
$137 + $1.5X = $150
1.5X = $150 - $137
1.5X = $13
X = $13 ÷ 1.5 = 8.67 or 8 games
Hence, Henry can play 8 games.
Answer:
The three numbers are 7 8 and 9
Step-by-step explanation:
Givens
- Let the first number be n - 1
- Let the second number be n
- Let the third number = n + 1
Equation
(n - 1)(n)(n + 1) - (n-1 + n + n+1) = 480
Solution
Multiply (n - 1) and (n + 1) = (n - 1)*(n + 1) = n^2 - 1
Multiply the second integer by the result of the first and third: n (n^2 - 1)
Add the three integers together: (x - 1) + (n - 1) + n = 3n Combine these 2 steps
n(n^2 - 1) - 3n = 480 Remove the brackets
n^3 - n - 3n = 480
n^3 - 4n = 480
n^3 - 4n - 480 = 0
Graph
The graph shows that the intercept point is n =8. This is the only way I can see to solve this cubic. There are no other real roots.
Answer
n - 1 = 7
n = 8
n + 1 = 9
Check
Product 7*8*9 = 504
Sum = 7 + 8 + 9 = 24
504 - 24 = 480 Which checks.
Answer:
Total discount = $39.50
or 46.47 %
Step-by-step explanation:
First we need to figure out what she will pay for the shoes. She is getting 30 percent off the 65 dollars.
Discount = price * percent off
= 65*.3
= 19.50
The cost of her shoes is the price minus the discount.
Cost = 65- 19.5
= 45.50
To find the total discount, take the original price and subtract the final cost.
Total discount = 85-45.50
= 39.50
To find the total percent discount, we use the formula
total percent discount = (original - final)/original * 100
= (85- 45.50)/85 * 100
= 39.5/85*100
= 46.47%
Answer:
5) 18.8 cm
7) 49.5 ft
Explanation:
The formula for arc length is S = θ * r
5) S = 18 cm * Pi/3 (60 degrees in radians)
S = 6 Pi cm
S ≈ 18.8 cm
7) S = 9 ft * 7 Pi / 4
S = 63 Pi ft / 4
S ≈ 49.5 ft
