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2 years ago

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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What is the median of the data set represented by the dot plot?

umka21 [38]

Answer:

The median is 5.

Step-by-step explanation:

To find the median you have to do steps, (they are really easy):

The median is like the middle of the graph so just try finding the middle, ( i could explain this in a different way but it's hard to explain) Hope this helps.

3 0

3 years ago

Read 2 more answers

Please help me pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaasssssssssssssssssssssss

balandron [24]

B is the correct answer

4 0

2 years ago

Please help :)))) ( attachment )

Anastaziya [24]

Let,
f(x) = -2x+34
g(x) = (-x/3) - 10
h(x) = -|3x|
k(x) = (x-2)^2

This is a trial and error type of problem (aka "guess and check"). There are 24 combinations to try out for each problem, so it might take a while. It turns out that

g(h(k(f(15)))) = -6
f(k(g(h(8)))) = 2

So the order for part A should be: f, k, h, g
The order for part B should be: h, g, k f
note how I'm working from the right and moving left (working inside and moving out).

Here's proof of both claims

-----------------------------------------

Proof of Claim 1:

f(x) = -2x+34
f(15) = -2(15)+34
f(15) = 4
-----------------
k(x) = (x-2)^2
k(f(15)) = (f(15)-2)^2
k(f(15)) = (4-2)^2
k(f(15)) = 4
-----------------
h(x) = -|3x|
h(k(f(15))) = -|3*k(f(15))|
h(k(f(15))) = -|3*4|
h(k(f(15))) = -12
-----------------
g(x) = (-x/3) - 10
g(h(k(f(15))) ) = (-h(k(f(15))) /3) - 10
g(h(k(f(15))) ) = (-(-12) /3) - 10
g(h(k(f(15))) ) = -6

-----------------------------------------

Proof of Claim 2:

h(x) = -|3x|
h(8) = -|3*8|
h(8) = -24
---------------
g(x) = (-x/3) - 10
g(h(8)) = (-h(8)/3) - 10
g(h(8)) = (-(-24)/3) - 10
g(h(8)) = -2
---------------
k(x) = (x-2)^2
k(g(h(8))) = (g(h(8))-2)^2
k(g(h(8))) = (-2-2)^2
k(g(h(8))) = 16
---------------
f(x) = -2x+34
f(k(g(h(8))) ) = -2*(k(g(h(8))) )+34
f(k(g(h(8))) ) = -2*(16)+34
f(k(g(h(8))) ) = 2

5 0

3 years ago

Factor the expression below using the greatest common factor 6p3- 2p2 - 8p

miss Akunina [59]

Answer:

The Factor of expression using the greatest common factor is $2p(3p^2- p-4)$

Step-by-step explanation:

Consider the provide expression.

$6p^3- 2p^2 - 8p$

We need to Factor the expression using the greatest common factor.

First look at the coefficients of the variable.

The coefficients are the factor of 2.

Variable p is the greatest common factor in the provided expression.

$2p\times 3p^2- 2p\times p- 2p\times 4$

$2p(3p^2- p-4)$

Hence, the Factor of expression using the greatest common factor is $2p(3p^2- p-4)$ .

7 0

2 years ago

Car A went 60km 3/4 of an hour. car b went 80km in 4/5 of an hour. witch car is faster

Lostsunrise [7]

Answer:

80km in 4/5

Step-by-step explanation:

60km × 3 = 15×3=45

80km × 4 = 16×4 =64

64 is the answer

3 0

2 years ago