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Kobotan [32]
2 years ago
6

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

Mathematics
2 answers:
erica [24]2 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]2 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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7 0
3 years ago
The diagram shows a triangle.
Free_Kalibri [48]

Answer:

c=3

Step-by-step explanation:

Angle sum of a triangle is 180°

(19c+16)°+13c°+(17c+17)°=180°

collect the like terms i.e

19c+13c+17c+16+17=180°

49c°+33°=180°

49c°=180°-33°

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dividing by 49 both sides

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3 0
2 years ago
-3+9-27+81-243+729. Using the sigma notation to write the given sum
IgorC [24]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Which percent is equivalent to the fraction 7/50 ?
taurus [48]
14% because 7/50 divided by 100 equals 14.
5 0
3 years ago
Read 2 more answers
Will give 50 points!!! ASAP!!!!!!!!!!!
Nostrana [21]

Answer:

\frac{1}{4}

Step-by-step explanation:

Since there are a total of 4 colors, and there are 5 of each colors, the total marbles in the bad would be;

5 x 4 = 20

If a color is selected at random the probability would be

\frac{part}{whole}

our part is 5

our whole is 20

so the probability would be;

\frac{5}{20} or \frac{1}{4} when reduced

Hope this helps!

5 0
1 year ago
Read 2 more answers
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