3 (x-5)+2 (3x+1)=45

Mathematics

1 answer:

pickupchik [31]3 years ago

8 0

Answer:

x + 3 = 17

Step-by-step explanation:

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$\boxed{question \: number \: \to 6} \\ \boxed{ w = 72} \\ \boxed{ x =144 } \\ \boxed{ y = 108}$

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$y + w + y + w = 360 \to \sum \: of \: angles \\ y = \: \boxed{opp \: y} \to \: vertically \: opposite \: angles \: are \: equal \\ w = \: \boxed{opp \: w} \to \: the \: same \: reason \: as \: y\\ hence \to \\ 2(w+ y) = 360 \\ w + y = 180 \\ but \: 5w = 360 \to \: angles \: at \: a \: point \\ w = \frac{360}{5} \\ \boxed{w = 72} \\ therefore \to \\ w + y = 180 \\ 72 + y = 180 \\ y = 180 - 72 \\ \boxed{ y = 108} \\ hence \: \boxed{x} \: is \: given \: by \to \\y + x + y = 360 \to \: angles \: at \: a \: point \\108 + x + 108 = 360 \\ x = 360 - 216 \\ \boxed{ x = 144}$

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3 (x-5)+2 (3x+1)=45​

3 (x-5)+2 (3x+1)=45