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2 years ago

7

How do you prove that vertical angles are congruent?

2 answers:

solong [7]2 years ago

4 0

If they're the same, then they are congruent. If they're on an image, you can use angles in parallel lines, such as Z (alternate) angles, F (corresponding) angles, or vertically opposite angles to show that they are equal. I hope this helps! Let me know if you need further explanation :)

zvonat [6]2 years ago

3 0

When two lines intersect to make an x, angles on opposite sides of the X are called vertical angle. and both angles are equal, give me a second and i will give you an example.

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2y-3x=ay-2x for y <br> please solve for y

babunello [35]

Answer:

$y= \frac{x}{-a + 2}$

Step-by-step explanation:

2y - 3x = ay - 2x

(2y - 3x) + (3x - ay) = (ay - 2x) + (3x - 2y)

2y - 3x + 3x - ay = ay - 2x + 3x - ay

2y - ay = ay - ay -2x + 3x

2y - ay = x

y(-a + 2) = x

$\frac{y(-a + 2)}{-a + 2} = \frac{x}{-a + 2}$

$y= \frac{x}{-a + 2}$

Hope this helps! :D

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2 years ago

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2 years ago

2x - y = 0<br> 4x - y = 0

Delicious77 [7]

Answer:

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2 years ago

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Which is the completely factored form of 3x^2-12x-15

Luba_88 [7]

Find the GCF (Greatest Common Factor)

GCF = 3

Factor out the GCF ( Write the GCF first. Then, in parentheses, divide each term by the GCF)

3(3x^2/3 + -12x/3 - 15/3)

Simplify each term in parentheses

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Factor x^2 - 4x - 5

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6 0

2 years ago

Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the shap

pogonyaev

Answer:

Rate of increase in height = $\frac{dh}{dt}=0.3156ft/min$

Step-by-step explanation:

we know that volume of a cone is given by

$V=\frac{1}{12}\pi d^{2}h$

It is Given that diameter equals height thus we have

$V=\frac{1}{12}\pi h^{2}h\\\\V=\frac{1}{12}\pi h^{3}$

Differentiating both sides with respect to time we get

$\frac{dV}{dt}=\frac{1}{12}\pi \frac{dh^{3}}{dt}\\\\\frac{dV}{dt}=\frac{1}{12}\pi(3h^{2}\frac{dh}{dt})$

Applying values and solving for $\frac{dh}{dt}$ we get

$\frac{dh}{dt}=\frac{12\frac{dV}{dt}}{3\pi h^{2}}\\\\\frac{dh}{dt}=0.3156ft/min$

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2 years ago