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Wittaler [7]
3 years ago
6

Consider that lines u and v are parallel. Which equation models the relationship between the angles? What is the value of x? A)

12x - 4 = 10x + 10; x = 7 B) 12x - 4 + 10x + 10 = 180; x = 7.9 C) 12x - 4 = 10x - 10; x = -3 D) 12x + 4 = 10x + 10; x = 3

Mathematics
1 answer:
anastassius [24]3 years ago
5 0
Sent a picture of the solution to the problem (s).

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The line with equation −a+3b=0 coincides with the terminal side of an angle θ in standard position and sinθ<0 .
Anna11 [10]
If a is the variable of the horizontal axis, then you can solve for b to get the equation of the line in slope-intercept form in the a,b plane:

-a+3b=0\implies b=\dfrac a3

i.e. a line with slope \dfrac13 through the origin, which means it is contained in the first and third quadrants. Since the terminal side of \theta has a negative sine, the angle must lie in the third quadrant.

Because the slope of the line is \dfrac13, you can choose any length along the line to make up the hypotenuse of a right triangle with reference angle \theta. Any such right triangle will have \tan\theta=\dfrac13, regardless of whether the angle is the first or third quadrant. But since \theta is known to lie in the third quadrant, and so \sin\theta and \cos\theta are both negative, you have

\tan\theta=\dfrac{\sin\theta}{\cos\theta}=\dfrac13\implies \dfrac{\sin\theta}{\cos\theta}=\dfrac{-1}{-3}\implies \cos\theta=-3
6 0
3 years ago
Read 2 more answers
Ryan works at the car wash making $5.30 per hour plus tips. Last week Ryan worked 32 hours and earned $403. How much in tips did
Vadim26 [7]
5.30 x 32 = 169.6

403 - 169.6= 233.4

He made $233.40 last week, answer D
8 0
3 years ago
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What is the scientific notation of 88,700,000,000?
zlopas [31]
8.87 x 10^10 is the scientific notation
6 0
3 years ago
Help me please and thank you
AURORKA [14]

Answer:

B

Step-by-step explanation:

You just count the dots and check the tables.

4 0
2 years ago
24/? = 8/9 What is the unknown ratio?
Murljashka [212]
24 divided by 8 is 3.

3 times 9 is 27 so your ratio would be

24/27 = 8/9

or 24: 27= 8:9

so your answer is 27

-Calypso, 8th, Algebra 1 Honers
7 0
3 years ago
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