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Simora [160]
3 years ago
6

3x - 2y + 3z = 6

Mathematics
1 answer:
Andrej [43]3 years ago
3 0

Answer:

Point Form:  ( − 2 ,  0,  4 )  Equation Form:  x  =  − 2 ,  y  =  0 ,  z  =  4

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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For this problem, we are given a parallelogram with a diagonal drawn, inside it there are markings for a few angles. We need to determine the unknown angles.

Opposite sides of a parallelogram are parallel, this means we can treat the diagonal as a transversal line that crosses two parallel lines. Since this is the case, the angles 33º and xº are alternate interior angles and have the same length:

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The opposite angles in a parallelogram are congruent, therefore:

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The sum of internal angles is 360º, therefore we have:

\begin{gathered} 2\cdot109+2\cdot(x+y)=360\\ \\ 218+66+2y=360\\ \\ 284+2y=360\\ \\ 2y=360-284\\ \\ 2y=76\\ \\ y=38 \end{gathered}

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1 year ago
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Step-by-step explanation:

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2 years ago
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