Answer:
x = 10°
y = 25°
Step-by-step explanation:
3x = 5x - 20 because they are alternate interior angles
subtract 5x from each side of the equation:
-2x = -20
Divide both sides by -2:
x = 10°
The sum of the interior angles of any triangle = 180°
2y + 4Y + (5x - 20) = 180°
combine like terms:
6y + 5x - 20 = 180°
add 20 to each side:
6y + 5x = 200°
substitute for x:
6y + 5(10) = 200°
subtract 50 from each side:
6y = 150°
divide both sides by 6:
y = 25°
Answer:
<u>NOT BOTH BLACK = 1-2/25 = 23/25</u>
Step-by-step explanation:
Bag 1 : 8 non-black out of 10
P(1) = 8/10
Bag 2: 3 non-black out of 10
P(2)=3/5
Probability of both independent events happening can be calculated using the multiplication rule
P(1) and P(2) = P(1)*P(2) = 8/10 * 3/5 = 24/50 = <u>12/25 (both are not black, or none is black)</u>
Interpretating not both black meaning at most one black, then
we calculate the probability of both are black,
P(1) = 2/10
P(2) = 2/5
Probability that both balls are black can be calculated using the multiplication rule
P(1) and P(2) = 2/10 * 2/5 = 2/25
Probability that <u>NOT BOTH BLACK = 1-2/25 = 23/25, i.e. at most one black</u>
Answer:
Step-by-step explanation:
d = c-b / a-n
Make b the subject
d (a - n) = c - b
-b = d (a - n) / c
Divide both sides by - 1
-b / -1 = d (a - n) / c ÷ -1
b = d (a - n) / c × 1/-1
= d(a - n) / - c
= ad - an / - c
The options given doesn't match the final answer
Answer:
cent/km
Step-by-step explanation:
Given
Required
The fuel cost in 
This is calculated using:
Multiply by 
to get the cost in cents
cent/km
cent/km
