If both of them are vertical angles, they equal each other. 2x+19=5x-5 is how you would set it up. Add 5 to 19 to get 24 and subtract 2x from 5x to get 3x. 3x=24, so x=8. If you plug that in, your angles should be 35 degrees for each.
270 miles apart. You can figure this out by dividing 60 by 2 to figure out how much miles 1 inch is and then, multiplying the number (30) by 9.
Answer:
a
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = B(- 4, 2) and (x₂, y₂ ) = C(- 2, - 2)
m =
=
= - 2
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, - 2), then
- 2 = 4 + c ⇒ c = - 2 - 4 = - 6
y = - 2x - 6 ← equation of line through B and C
Answer:
a. 55.56%
b. 44.44%
c. 3.33%
d. 33.33%
Step-by-step explanation:
total supply = 180
a. In the first factory the total number obtained = 100
probability that the chosen part is from the first
= 100/180
= 0.5556
= 55.56%
b. In the second factory total = 80
probability that the chosen part is from the second
= 80/180
= 0.4444
= 44.44%
c. probability that part chosen at random from 180 is defective
= 2% * 0.5556 + 5% * 0.4444
= 0.02*0.5556 + 0.05*0.4444
= 0.011112 + 0.0222
= 0.03331
= 3.33%
d. probability it came rom the first factory if it is defective

= 
= 
= 0.33357
= 33.33%
Answer:
Step-by-step explanation:
you are correct.