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WR=48.5 centimeters
(cm) and

TR=(7k-19.4)cm
Determine the value of
k.

$W R=48.5$ centimeters $(\mathrm{cm})$ and $\newline$ $T R=(7 k-19.4) \mathrm{cm}$ $\newline$ Determine the value of $k$ .

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Convert between customary and metric systems

Full solution

Q.

W R=48.5

centimeters

(\mathrm{cm})

and

\newline

T R=(7 k-19.4) \mathrm{cm}

\newline

Determine the value of

k

.

WR given: question_prompt: What is the value of $k$ when $WR$ equals $TR$ ? $\newline$ $WR$ is given as $48.5$ cm, so we write that down. $\newline$ $WR = 48.5$ cm
TR given: TR is given by the expression $(7k - 19.4)$ cm, so we also write that down. $\newline$ TR = $(7k - 19.4)$ cm
Setting $WR=TR$ : Since $WR$ equals $TR$ , we set the two expressions equal to each other. $\newline$ $48.5 = 7k - 19.4$
Isolating k term: Now we solve for k. First, we add $19.4$ to both sides to isolate the term with k. $\newline$ $48.5 + 19.4 = 7k$
Addition on left side: We do the addition on the left side. $\newline$ $48.5 + 19.4 = 67.9$ $\newline$ $67.9 = 7k$
Dividing by $7$ : Next, we divide both sides by $7$ to solve for $k$ . $\frac{67.9}{7} = k$
Finding k value: We do the division to find the value of $k$ . $k = 9.7$

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