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miv72 [106K]
3 years ago
14

5y-6=3y-20 how do i solve this problem

Mathematics
2 answers:
Studentka2010 [4]3 years ago
8 0
Im guessing its asking what y equals, subtract 3y from each side, the result is 2y-6=-20, add six to each side to get 2y=-14, divide each side by 2, the answer is.....
Y= -7
rusak2 [61]3 years ago
7 0
Minus 3y both sides
2y-6=-20
add 6 to both sids
2y=-14
divide 2
y=-7
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Substituting the given expression for each segment in the first equation, we get:

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Solving the above equation for x, we get:

\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:

\Delta HFG\cong\Delta GEH,

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\measuredangle GHF\cong\measuredangle HGE.

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

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

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