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slega [8]
3 years ago
14

W is the midpoint of VX and Z is the midpoint of VY . If XY=p and WZ=p–30, what is WZ?

Mathematics
1 answer:
juin [17]3 years ago
7 0

\large{ \tt{❃ \: EXPLANATION}} :

  • You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.

  • We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.

\large{ \tt{❁ \: LET'S \: START }: }

  • Set up an equation & solve for p :

\large{ \bf{☄ \: p  - 30 =  \frac{1}{2}  p }}

\large{ \tt{↦ \frac{1}{2} p = p - 30}}

\large{ \tt{↦ \frac{1}{2} p - p =  - 30}}

\large{ \tt{↦ \frac{p - 2p}{2} =  - 30 }}

\large{ \tt{↦p - 2p =  - 60}}

\large{ \tt{ ↦ \: - p =  - 60}}

\large{ \tt{↦p = 60}}

  • The value of p is 60

\large{ \tt{❇ \: REPLACING \: VALUE}} :

\large{ \tt{↬ \: wz = p - 30 =  60 - 30 =   \boxed{\boxed{ \tt{30 }} }✔}}

  • Hence , WZ = 30 .

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Step-by-step explanation:

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Answer:

Yes that would be correct!

Step-by-step explanation:

You need 5a and 34 are needed in the equation and so is the x symbol

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50 students were asked what they did last night. 16 said they read a book, 41 said they watched TV, 7 said they did neither, how
Kamila [148]

Answer:

14 students

Step-by-step explanation:

Given

Let:

b \to read a book

t \to watched TV

So, we have:

n = 50 -- total

b = 16

t = 41

none = 7

Required

Students that did both (x)

This is calculated using:

Total = Books\ only + TV\ only + Both + None

So, we have:

n = (b - x) + (t - x) + x + none

This gives:

50 = (16 - x) + (41 - x) + x + 7

Open brackets

50 = 16 - x + 41 - x + x + 7

50 = 16 - x + 41 +7

Collect like terms

x = 16 - 50 + 41 +7

x = 14

<em>Hence, 14 students did both</em>

6 0
2 years ago
can anyone help me out here? I will pay you 20 points
Cerrena [4.2K]

Answer:

The ordered pair that makes an equation true is called a solution

a)solution

b) not a solution

c) solution

d) solution

e)not a solution

f) not a solution

g) solution

h) not a solution

Step-by-step explanation:

The first number in an ordered pair is x, the second one is y

Plug in the numbers to x and y respectively

I'll give two examples so you know how to solve it

a) y=3x+1

-5=3(-2)+1

make sure you use pemdas (multiply first)

-5=-6+1

add

-5=-5

this is true (meaning it is a solution)

b) 6=3(-3) +1

6=-9+1

6 = -8

this is NOT true (not a solution)

If you have any questions feel free to ask

8 0
2 years ago
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