Answer:
QV=13
Step-by-step explanation:
We are given that line segment QU is a median of triangle UVW.
QV=[tex]7x-1[/tex]
[tex]QW=4x+5[/tex]
We have to find the QV.
We know that
Median is that line segment of triangle which is dawn from one vertex of the triangle to the opposite side and divides the opposite side into equal two equal parts.
By definition of median of triangle , QU divides the line segment VW into two equal parts
Therefore, QV=QW
[tex]7x-1=4x+5[/tex]
[tex]7x-4x-1=5[/tex]
Using subtraction property of equality
[tex]7x-4x=5+1[/tex]
Using addition property of equality
[tex]3x=6[/tex]
Combine like terms
[tex]x=\frac{6}{2}=2[/tex]
Using division property of equality
Substitute the value of x
Qv=[tex]7(2)-1=13[/tex]
Hence, the values of QV=13
