Answer:
b = 55
d = 55
Step-by-step explanation:
Part B:
1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.
- This means that b + 25 + 100 = 180
2. (Solving equation above)
Step 1: Simplify both sides of the equation.
Step 2: Subtract 125 from both sides.
Therefore, b = 55.
Part D:
1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.
- This means that 110 = d + 55
2. (Solving)
Step 1: Subtract 55 from both sides.
Therefore, d = 55.
ML would be 2.5 because M is the bisector, splitting those 2 sides into congruent sides.
To solve for the distance the car is required to stop after the driver
steps on the break is by jus substituting the given value to the equation
given. Since the car is traveling at 50 miles per hour
24d = (50)^2
D = 2500/24
<span>D =104 ft</span>
For this case we have the following functions:
![f (x) = 4 - x ^ 2\\g (x) = 6x](https://tex.z-dn.net/?f=%20f%20%28x%29%20%3D%204%20-%20x%20%5E%202%5C%5Cg%20%28x%29%20%3D%206x%20%20)
The first thing we must do for this case is to subtract both functions.
We have then:
![(g - f) (x) = g (x) - f (x)](https://tex.z-dn.net/?f=%20%28g%20-%20f%29%20%28x%29%20%3D%20g%20%28x%29%20-%20f%20%28x%29%20%20)
Substituting we have:
![(g - f) (x) = (6x) - (4 - x ^ 2)](https://tex.z-dn.net/?f=%20%28g%20-%20f%29%20%28x%29%20%3D%20%286x%29%20-%20%284%20-%20x%20%5E%202%29%20%20)
Rewriting we have:
![(g - f) (x) = x ^ 2 + 6x - 4](https://tex.z-dn.net/?f=%20%28g%20-%20f%29%20%28x%29%20%3D%20x%20%5E%202%20%2B%206x%20-%204%20%20)
Evaluating the obtained function for x = 3 we have:
![(g - f) (3) = (3) ^ 2 + 6 (3) - 4\\(g - f) (3) = 23](https://tex.z-dn.net/?f=%20%28g%20-%20f%29%20%283%29%20%3D%20%283%29%20%5E%202%20%2B%206%20%283%29%20-%204%5C%5C%28g%20-%20f%29%20%283%29%20%3D%2023%20%20)
Answer:
The value of the function evaluated at x = 3 is:
![(g - f) (3) = 23](https://tex.z-dn.net/?f=%20%28g%20-%20f%29%20%283%29%20%3D%2023%20)