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I NEED HELP ON THIS BADLY PLEASE!!!! IM GIVING LOTS OF POINTS AND BRAINLIEST!!! This is due today so it would help so so much if someone can help me with this please

I NEED HELP ON THIS BADLY PLEASE IM GIVING LOTS OF POINTS AND BRAINLIEST This is due today so it would help so so much if someone can help me with this please class=

Respuesta :

saItair

Answer :

  • 28

Explanation :

when a segment is bisected,it means that it got divided into two equal part thus,

  • VZ = ZY
  • 2x +2 = 3x - 4
  • 3x - 2x = 2 + 4
  • x = 6

plugging in the value of x in the expression for VZ,

  • VZ = 2x + 2
  • VZ = 2*6 + 2
  • VZ = 12 + 2
  • VZ = 14

since VZ = ZY, thus ,ZY = 14 and because VZ and ZY together make VY , hence,

  • VY = 14 + 14
  • VY = 28

therefore,the measure of VY is 28 units.

msm555

Answer:

28

Step-by-step explanation:

Given that [tex]\sf \overline{WZ} [/tex] bisects [tex]\sf \overline{VY} [/tex].

So, [tex]\sf \overline{WZ} = \overline{YZ} [/tex].

According to the segment addition postulate, we can express [tex]\sf \overline{VY} [/tex] as the sum of [tex]\sf \overline{VZ} [/tex] and [tex]\sf \overline{ZY} [/tex]:

[tex]\sf \overline{VY} = \overline{VZ} + \overline{ZY} [/tex]

Given:

  • [tex]\sf \overline{VZ} = 2x + 2 [/tex]
  • [tex]\sf \overline{ZY} = 3x - 4 [/tex]

We can substitute the values into the equation for [tex]\sf \overline{VY} [/tex]:

[tex]\sf \overline{VY} = (2x + 2) + (3x - 4) [/tex]

Now, we know that:

[tex]\sf \overline{WZ} = \overline{YZ} [/tex], which means:

[tex]\sf 2x + 2 = 3x - 4 [/tex]

Solve for [tex]\sf x [/tex]:

[tex]\sf 2x + 2 = 3x - 4 [/tex]

[tex]\sf 2 + 4 = 3x - 2x [/tex]

[tex]\sf 6 = x [/tex]

Now that we have found the value of [tex]\sf x [/tex], we can find [tex]\sf \overline{VY} [/tex] by substituting [tex]\sf x = 6 [/tex] into the equation we derived earlier:

[tex]\sf \overline{VY} = (2(6) + 2) + (3(6) - 4) [/tex]

[tex]\sf \overline{VY} = (12 + 2) + (18 - 4) [/tex]

[tex]\sf \overline{VY} = 14 + 14 [/tex]

[tex]\sf \overline{VY} = 28 [/tex]

Therefore, [tex]\sf \overline{VY} = 28 [/tex].

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