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bezimeni [28]
3 years ago
5

What dose this = to? triangles = to 180 buts all i know

Mathematics
1 answer:
lara31 [8.8K]3 years ago
3 0

7. Straight lines are also = to 180°


If you look at the diagram, when you add the two angles together, they form a straight line.

Since the angles add up to 180°, you can do:

(x + 25)° + (4x + 5)° = 180°

x + 25 + 4x + 5 = 180        Combine like terms

5x + 30 = 180         Subtract 30 on both sides

5x = 150       Divide 5 on both sides

x = 30

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\large\text{Hey there!}

\mathsf{25=5x-4}\\\mathsf{\rightarrow 5x-4=25}\\\mathsf{\bf{Add\ 4\  to\ your\ sides}}\\\mathsf{5x-4+4=25+4}\\\mathsf{Cancel\ out: -4+4\ because\ it\ equals\ 0}\\\mathsf{Keep:25+4\ because\ it\ helps\ us\ solve\ for\ our\ answer}\\\mathsf{25+4=29}\\\mathsf{We\ get: 5x=29}\\\mathsf{\bf{Divide\ by\ 5\ to\ your\ sides}}\\\mathsf{\dfrac{5x}{5}=\dfrac{29}{5}}\\\mathsf{Cancel: \dfrac{5x}{5}\ because\ that\ gives\ you\ 1}\\\mathsf{Keep: \dfrac{29}{5}\ because\ it\ helps\ solve\ for\ our\ answer}

\boxed{\mathsf{x=\dfrac{29}{5}}}\checkmark

\large\text{Good luck on your assignment and enjoy your day!}

~\dag\dfrac{\frak{LoveYourselfFirst}}{:)}

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