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3 years ago

How would I find the values of the variables?

Mathematics

1 answer:

Ede4ka [16]3 years ago

4 0

$x^o\ and\ 3y^o\ are\ Corresponding\ Angles.\\\\Corresponding\ Angles\ are\ equal. Therefore\ we\ have\ equation:\\\\x^o=3y^o\ and\ x^o+y^o=180^o$

$Substitute:\\\\3y^o+y^o=180^o\\\\4y^o=180^o\ \ \ \ |:4\\\\y^o=45^o\\\\x^o=3\cdot45^o=135^o$

<h3>Answer: x° = 135° and y° = 45°</h3>

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I need heeeeeelp please and thank you :)

Citrus2011 [14]

The answer the the question is A.

5 0

2 years ago

Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3

MAXImum [283]

Observe that

$\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v$

In the original equation, divide both sides by $\dfrac12$ :

$-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2$

$\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2$

Next,

$\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi$

where $n$ is any integer. Then

$\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi$

Fix $n=0$ to ensure $-\pi$ , so that

$v=-\dfrac\pi6,v=-\dfrac\pi2$

3 0

3 years ago

I’ve been stuck on this question for quite some time. I was struggling so I needed help, can you help me?

Crank

I can’t see all the question !!

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3 years ago

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A customer purchased a total of 16 washcloths and towels. Each washcloth cost $10.50 and each towel cost $15.00. The customer sp

IgorC [24]

Answer:

Step-by-step explanation:

10.50 x 3 = 31.5

15 x 13 = 195

195 + 31.5 = 226.50

8 0

2 years ago

Julia has 4 gallons 2 quarts of water.Ally needs the same amount of water but only has 12 quarts.How much more water does Ally n

ozzi

Ok so what do we know :

4 quarts = 1 gal
Julia has 4gal and 2 quarts or 18 quarts
ally has 12 quarts

so if julia has 18 quarts and ally has 12 that means that ally needs 6 more quarts (or 1gal 2 quarts) so that she and julia can have the same amount

8 0

3 years ago

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