Answer:
Step-by-step explanation:
Length of a segment between two points
and
is given by the formula,

Coordinates of extreme ends of BC and EF are,
B(1, 4), C(3, -2), E(-3, -2) and F(-1, 1)
Length of BC = 
= 
=
≈ 6.32 units
Length of EF = 
= 
=
≈ 3.61 units
The length of BC is 6.32. The length of EF is 3.61.So, BC and EF don't have the same length.
1) D is your answer.
Isolate the y:
2x = 3y - 5
first add 5 from both sides
2x (+5) = 3y - 5 (+5)
Next, divide 3 from both sides to isolate the y
(2x + 5)/3 = (3y)/3
y = (2x + 5)/3
2) None of the above is your answer
Plug in points for each equation. None of them work for more than 1 or 2 points. (they are not true for all points) ∴ None of the above is your answer
hope this helps
The probability that no one in the family of 4 will be hospitalized during a year is 0.52
Step-by-step explanation:
The probability for a person to be hospitalized during one year is

As a consequence, the probability for a person of NOT being hospitalized during one year is

If we have 4 people in the family, the probability of each of them of NOT being hospitalized during the year is independent from the probability of the others - therefore, these are independent events. This means that the total probability of the 4 people of not being hospitalized during a year is:

So, the probability that no one in the family of 4 will be hospitalized during a year is 0.52.
Learn more about probability:
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1.= 6,391
2.=6,3910
3. = 6,39100
All you do is add the 0s at the end
Answer and Step-by-step explanation:
Since we have given that
1. m∠1 + m∠5 = 180° and m∠1 + m∠4=180° - Given
2. m∠1 + m∠5 = m∠1 + m∠4 - Substitution
3. m∠5 = m∠4 -
Subtraction property of equality
4. Ray YZ is parallel to Ray UV - If alternate interior angles equal, then line are ||