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3 years ago

V is the midpoint of UW. If UV = x + 2 and VW = 2x, what is VW?

Mathematics

2 answers:

erica [24]3 years ago

8 0

Answer:

VW = 4

Step-by-step explanation:

Since V is the midpoint of line UW, we can say that the measure of UV is equal to VW (see def. of midpoint). Thus, we can generate the equation using the statements provided, leading us to this equation: x+2 = 2x. We can then subtract x on both sides, leading us to 2 = x, or x = 2.

We were given that VW = 2x, thus the measure of VW is equal to 2(2) or 4.

(BONUS: since we know that VW ≅ UV, then the measure of UV is also equal to 4, which when applied to the formula for UV (x+2) we get the equation for UV, x+2=4. This is a way to prove that x=2, as 2+2=4. We can also use this knowledge to find the total length of this line segment, which would be 8, as 4+4=8)

Elan Coil [88]3 years ago

3 0

Answer:

8 units

Step-by-step explanation:

x + 2 = 2x

2 = 2x - x

x = 2

uW = 2(2+2) = 8

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Answer:

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Step-by-step explanation:

We can define the following notaton for the events:

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And we are interested on the probability that it rains over the weekend (either Saturday or Sunday), so we want to find this probability:

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And for this case we can use the total probability rule given by:

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$P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088$

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$P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512$

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