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question show examples which of the following equations corresponds to …

Question

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which of the following equations corresponds to the diagram below?

Explanation:

Step1: Relate parts to total

The total length 19 equals 5 plus $z$.
$5 + z = 19$

Step2: Rearrange to isolate $z$

Subtract 5 from both sides to solve for $z$.
$z = 19 - 5$

Answer:

The corresponding equation is $\boldsymbol{5 + z = 19}$ (or rearranged as $\boldsymbol{z = 19 - 5}$)