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14 votes
14 votes
2D and ZE are complementary. If m2D = 5x + 3and mZE = 3x - 1, what is x?

User Nicolas Joseph
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1 Answer

18 votes
18 votes

hello

the question presented before me seem incomplete due to lack of diagram to give a detailed expression

if 2D and ZE are complimentary, then the sum of both angles must be equal to 90 degrees


\begin{gathered} <2D\text{ = 5x }+\text{ 3} \\ solve the expression by finding x[tex]\begin{gathered} 3x\text{ }-\text{ 1 }+\text{ 5x }+\text{ 3 }=90^0 \\ 8x\text{ }+\text{ 2 }=\text{ 90} \\ 8x\text{ = 90 }-\text{ 2} \\ 8x\text{ }=\text{ 88} \\ \end{gathered}

divide both sides of the equation by 8


\begin{gathered} (8x)/(8)\text{ }=\text{ }(88)/(8) \\ x\text{ }=11^0 \end{gathered}

x = 11

User Tom Dale
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