Answer :

7.7 in

Explanation

Step 1

Let

AB=5.1( black)

BC=2.6(red)

AC=?

AC is the line that goes from A to C, (blue)

Also

[tex]AC=AB+BC[/tex]

Step 2

replace

[tex]\begin{gathered} AC=AB+BC \\ AC=5.1+2.6 \\ AC=7.7 \end{gathered}[/tex]

so, the answer is 7.7

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