R-4+3r-16=180
4r-20=180
4r=200
r=50
Angle D
r-4
50-4
46
Angle E
3r-16
3•50-16
150-16
134
Answer:
3x +12.95 = 32.46
Step-by-step explanation:
3 burritos plus x + 12.95 = $32.46
One leg is horizontal, on the line y=3. Another leg is vertical, on the line x=1. The point where these intersect, D(1, 3) is the vertex of a right angle. Any right triangle inscribed in a circle has its hypotenuse as the diameter of the circle.
Since the triangle is a right triangle, the circumcenter is the midpoint of the hypotenuse: ((8, 3) + (1, -5))/2 = (4.5, -1).
The correct answer is C) (5m^50 - 11n^8) (5m^50 + 11n^8)
We can tell this because of the rule regarding factoring the difference of two perfect squares. When we have two squares being multiplied, we can use the following rule.
a^2 - b^2 = (a - b)(a + b)
In this case, or first term is 25m^100. So we can solve that by setting it equal to a^2.
a^2 = 25m^100 -----> take the square root of both sides
a = 5m^50
Then we can do the same for the b term.
b^2 = 121n^16 ----->take the square root of both sides
b = 11n^8
Now we can use both in the equation already given
(a - b)(a + b)
(5m^50 - 11n^16)(5m^50 + 11n^16)
The correct equation that models for this problem is x over y or x/y.
Let the following values be:
x - would be the money or commissions that Duncan earned.
y - would be the 20 percent that he gives his assistant
