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$In the diagram, /_\JLM∼/_\QST. Find the value of x. Write your answer as a decimal, if necessan x=1.5$

In the diagram, $\triangle J L M \sim \triangle Q S T$ . Find the value of $x$ . Write your answer as a decimal, if necessan $\newline$ $x=1.5$

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Find values of derivatives using limits

Full solution

Q. In the diagram,

\triangle J L M \sim \triangle Q S T

. Find the value of

x

. Write your answer as a decimal, if necessan

\newline

x=1.5

Identify Similar Triangles: question_prompt: How much is $x$ in the similar triangles $JLM$ and $QST$ if $x=1.5$ ?
Set Up Proportion: Since the triangles are similar, the corresponding sides are proportional. Set up the proportion using the given sides and solve for $x$ .
Use Proportion to Solve: Let's say the sides of the triangles are in the ratio $a:b$ , where $a$ corresponds to triangle JLM and $b$ to triangle QST. Since $x=1.5$ , we can write the proportion as $\frac{x}{a} = \frac{1.5}{b}$ .
Cross-Multiply: To find the value of $x$ , we can cross-multiply and get $x \times b = a \times 1.5$ .
Determine $x$ Value: We don't have the values for $a$ and $b$ , but since $x$ is given as $1.5$ , we don't actually need them. We can just state that $x = 1.5$ .

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