Can some one help me with this I need help with it it's due tomorrow so plz help me

Mathematics

1 answer:

Fynjy0 [20]3 years ago

7 0

Add the two and you should get 2 and 7/16

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Answer:

We know that in a parallelogram two opposite angles are equal -

$\\ \implies \sf \: 2x + 2y = 360 {}^{ \circ} \\ \\ \\ \implies \sf \: x + y = 180 {}^{ \circ} \qquad \quad \: (i) \\$

Given - 

angle x is equal to the two - third of it's adjacent angle y.

$\\ \implies \sf \: x = \frac{2}{3} y \\ \\ \\ \implies \sf \frac{x}{2} = \frac{y}{3} = k \\ \\ \\ \qquad \sf \small \underline{ x = 2k \: \: \& \: \: y = 3k} \\$

Now, by using equation (1) :

$\\ \implies \sf \: 2k + 3k = 180 \\ \\ \\ \implies \sf \: 5k = 180 \\ \\ \\ \implies \sf \: k = \frac{180}{5} \\ \\ \\ \large{ \boxed{ \sf{k = {36}^{ \circ} }}} \\$

Now, by putting the value of k in x and y. 

x = 2k = 2 × 36 = 72°
y = 3k = 3 × 36 = 108°

Therefore, the right option and smallest angle is b) 72°.

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Hello Again!

What you want to do first is add 4 to -4 and to -13. After doing so, you'll equation will look a little something like this...

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You'll then want to divide both -3 and 9 by -3. After doing so, the equation will look like this...

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Your answer is x=-3

I hope this helps

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