Z is centroid of triangle RST. What is RW, if RV=4x+3, WS=5x-1, and VT=2x+9?

x=
WS=
RW=
Pls help its due today thanks in advance

Question

04-01-2018
Mathematics

contestada

Z is centroid of triangle RST. What is RW, if RV=4x+3, WS=5x-1, and VT=2x+9?

x=
WS=
RW=
Pls help its due today thanks in advance

Respuesta :

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ahmedishaal ahmedishaal · Answer 1 · 2018-01-18T12:01:58+01:00

Given that Z is the centroid of a triangle RST. This means that Z is the point of intersection of the three medians of the triangle.
So,W is the midpoint of RSV is the midpoint of RT
We are given that:
RV = 4x + 3 and VT = 2x + 9
Since V is the midpoint, then:RV = VT
4x + 3 = 2x + 9
4x - 2x = 9 - 3
2x = 6
x = 3
Now put the value of x in WS = 5x-1
WS = 5x-1
WS = 5(3) - 1
WS = 15 - 1 = 14
WS = 14
Since W is the midpoint of RS,
therefore RW = WS
and WS = 14
Therefore:RW = 14

Z is centroid of triangle RST. What is RW, if RV=4x+3, WS=5x-1, and VT=2x+9? x= WS= RW= Pls help its due today thanks in advance

Respuesta :

Otras preguntas

Z is centroid of triangle RST. What is RW, if RV=4x+3, WS=5x-1, and VT=2x+9?

x=
WS=
RW=
Pls help its due today thanks in advance