Answer:
m∠1 = 92°
Step-by-step explanation:
∠2 corresponds to the supplement of ∠3 if (and only if) lines a and b are parallel. We find that
m∠2 + m∠3 = 73° +107° = 180°
so, the angles are supplementary and lines a and b are parallel.
Angles 4 and 1 are corresponding angles where the line d crosses the parallel lines a and b, so are congruent.
m∠1 = m∠4 = 92°
Answer:
No
Step-by-step explanation:
Let's find the slope of both lines and then compare these slopes:
From (-4,3) to (-5,4) entails a decrease of -1 in x and an increase of 1 in y. Thus, the slope is m = rise / run = 1/(-1) = -1.
From (0,1) to (5,0) entails an increase of 5 in x and a decrease of 1 in y. The slope here is m = rise / run = -1/5.
For these lines to be parallel, their slopes must be the same. That is not the case here, so NO, the lines are not parallel.
The probability that at least two of the missiles hit the arsenal:
P ( x ≥ 2 ) = P ( x = 2 ) + P ( x = 3 )
P ( x = 2 ) = 0.75 · 0.85 · 0.1 + 0.85 · 0.9 · 0.25 + 0.75 · 0.9 · 0.15 =
= 0.06375 + 0.10125 + 0.19125 = 0.35625
P ( x = 3 ) = 0.75 · 0.85 · 0.9 = 0.57375
P ( x ≥ 2 ) = 0.35625 + 0.57375 = 0.93
Answer:
The probability is 0.93 or 93%.
Answer: There is none.
Step-by-step explanation:
There is no proportional relationship between Celsius and Fahrenheit because for a proportional relationship to exist, the two variables need to have an equivalent ratio between them which would ensure that their values vary constantly when they are either divided or multiplied.
In other words, only the arithmetic operations of multiplication and division should be present. In the above there is an additive operation which renders the two variables being Fahrenheit and Celsius, non-proportional.
55,000 + 2,500x = 62,000 + 2,000x
subtract 55,000 from both sides
2,500x = 7,000 + 2,000x
now subtract 2,000x from both sides
500x = 7,000
x= 14 years
