determining segment lengths
the length of tr is 17 units. what are the lengths of
sv and qt?
sv = units
qt = units

Question

Accepted Answer

# Explanation:
## Step1: Find the value of $x$
Since $4x + 1=9x - 4$ (sides of a kite are equal).
$$
\begin{align*}
4x+1&=9x - 4\
1 + 4&=9x-4x\
5&=5x\
x& = 1
\end{align*}
$$
## Step2: Calculate $SV$
Substitute $x = 1$ into $SV=2(3x + 2)$ (because $TR$ is the perpendicular bisector of $SV$, so $SV = 2VR$).
$$
\begin{align*}
SV&=2(3\times1+ 2)\
&=2\times(3 + 2)\
&=2\times5\
&=10
\end{align*}
$$
## Step3: Calculate $QT$
Substitute $x = 1$ into $QT=4x + 1$
$$
\begin{align*}
QT&=4\times1+1\
&=4 + 1\
&=5
\end{align*}
$$

# Answer:
$SV = 10$ units, $QT=5$ units

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QUESTION IMAGE

Question

Explanation:

Step1: Find the value of \(x\)

Step2: Calculate \(SV\)

Step3: Calculate \(QT\)

Answer: