W is the midpoint of VX and Z is the midpoint of VY . If XY=p and WZ=p–30, what is WZ?. Created by so1963. mathematics-us

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.Set up an equation & solve for p : The value of p is 60 Hence , WZ = 30 .♪ Success is not a magic or miracle , it's not a luck , it's full of late night hard work , compromises & sacrifices. ♡ Hope I helped ! ツ☼ Have a wonderful day / night ! ☃# StayInAndExplore ! ☂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

W is the midpoint of VX and Z is the midpoint of VY . If XY=p and WZ=p

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

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$\large{ \tt{❃ \: EXPLANATION}} :$
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 .
♪ Success is not a magic or miracle , it's not a luck , it's full of late night hard work , compromises & sacrifices.

♡ Hope I helped ! ツ
☼ Have a wonderful day / night ! ☃
# StayInAndExplore ! ☂
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