Answer:
50°
Step-by-step explanation:
angle 5 = angle 4 ( Alternative Interior Angles are equal )
But angle 3 & angle 4 are linear pairs. So,
angle 3 + angle 4 = 180°
=> angle 3 + angle 5 = 180° (angle 5 = angle 4)
=> angle 3 + 130° = 180°
=> angle 3 = 180° - 130° = 50°
Answer:
the domain of the function f(x) is 
the range of the function f(x) is 
Step-by-step explanation:
Consider the parent function 
The domain og this function is 
the range of this function is 
The function 
is translated function 
7 units to the right and 9 units up, so
the domain of the function f(x) is
the range of the function f(x) is
Answer:
$30,000 and $55,000
Step-by-step explanation:
If 4.5% loan is x, and the 6% loan is y, then:
x + y = 85000
0.045x + 0.06y = 4650
Solve the system of equations with substitution or elimination. Using substitution:
0.045x + 0.06(85000 − x) = 4650
0.045x + 5100 − 0.06x = 4650
450 = 0.015x
x = 30000
y = 55000
A standard cube has 6 possible outcomes. But since we want to find P(4+ or odd), the outcomes become more narrow.
So:
6 outcomes -> 1, 2, 3, 4, 5, 6
But we want to find 4+
So:
4+ = 4, 5, 6
We also want to find all odd possibilities.
So:
odd = 1, 3, 5
As you can see, there is a 5 in both the 4+ and the odd numbers so 5 will only be counted once.
P(4+ or odd) = 1, 3, 4, 5, 6
So the probability of having an outcome that is P(4+ or odd) is:
5/6 or 0.8333 or 83.33%
Hope I helped!
