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padilas [110]
3 years ago
8

Solve the equation for a.

Mathematics
1 answer:
nataly862011 [7]3 years ago
7 0

Answer:

a=-7.68

Step-by-step explanation:

3a+13.61=-9.43

               -13.61

_____________

               -23.04

3a=-23.04

-23.04/3= -7.68

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1) Since these triangles are congruent, then we can write out the following for congruent triangles have congruent sides:

\begin{gathered} QS=TV \\ 3v+2=7v-6 \\ 3v-7v=-6-2 \\ -4v=-8 \\ 4v=8 \\ \frac{4v}{4}=\frac{8}{4} \\ v=2 \end{gathered}

2) Still based on that principle, we can plug v=2 into any of those formulas to get the measure of QS and TV. So let's pick the simpler one:

\begin{gathered} QS=3v+2 \\ QS=3(2)+2 \\ QS=6+2 \\ QS=8 \\ --- \\ TV=7(2)-6 \\ TV=14-6 \\ TV=8 \end{gathered}

As we can see these segments are congruent.

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