Answer:
see explanation
Step-by-step explanation:
The solution to the equations is at the point of intersection of the 2 lines.
If the system has no solution, this indicates the lines do not intersect and therefore must be parallel.
Answer:
A
Step-by-step explanation:
sin57° = 
= 
= 
∠ P = 180° - (90 + 57)° ← sum of angles in triangle
∠ P = 180° - 147° = 33° , then
cos33° = 
= =
Thus the 2 ratios used to solve for x are A
Answer:
a) 29.23% probability that a randomly selected home run was hit to right field
b) 29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes. It is said to be unusual if it is lower than 5% or higher than 95%.
(a) What is the probability that a randomly selected home run was hit to right field?
Desired outcomes:
19 home runs hit to right field
Total outcomes:
65 home runs
19/65 = 0.2923
29.23% probability that a randomly selected home run was hit to right field
(b) Was it unusual for this player to hit a home run to right field?
29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.
Answer:
∠A=30°
Step-by-step explanation:
let's call the angle at the bottom B and the one next to the 130 C
∠A=3x-6
∠C=180-130= 50°
vertical angles are equal∠B =8x+4
∠A+∠C+∠B=180°
find x:
3x-6+50+8x+4= 180°
11x+48=180°
11x= 132
x=12
find ∠A
∠A=3x-6= 3(12)-6 =30°
