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Vlad [161]
3 years ago
13

-11 = -5 + 6n + 6 WHAT DOES "N" EQUAL?

Mathematics
1 answer:
kifflom [539]3 years ago
7 0
-11= -5+6n+6
-11+5-6=6n
-12=6n
n= -2

(hope i helped :D!)
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In the rectangle below, E1=2x -2, FH=3x+6, and m 4IHG =35°.Find Gl and m LIEH
Tpy6a [65]

Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}

Substituting the given expression for each segment in the first equation, we get:

3x+6=2(2x-2).

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\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}

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Now, to determine the measure of angle IEH, we notice that:

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\measuredangle GHF\cong\measuredangle HGE.

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m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.

<h2>Answer: </h2>\begin{gathered} m\operatorname{\measuredangle}IEH=55^{\operatorname{\circ}}, \\ GI=18. \\  \end{gathered}

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