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Rama09 [41]
3 years ago
12

6)A pair of parallel lines is cut by a transversal: A pair of parallel lines cut by a transversal is shown. The inside bottom ri

ght angle is labeled 80 degrees. The alternate interior angle is cut by a ray and is labeled as x on one side and 15 degrees on the other. What is the measure of angle x?
Mathematics
1 answer:
professor190 [17]3 years ago
5 0
If you draw it out, you'll notice that 15+x= 90 because they are alternate interior, meaning they are the same. X is the missing value needed to be added to equal 90. Therefore. your answer is 75 because 75+15=90.
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Step-by-step explanation:

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What number is less than -2 4/5 and greater than -31/5
IgorC [24]

Using a calculator, you should find that

-2 & 4/5 = -(2 + 4/5) = -(2+0.8) = -2.8

-31/5 = -6.2

So the unknown number is between -6.2 and -2.8

<h3>Possible whole number answers could be: -6, -5, -4, -3, or -2</h3>

If your teacher allows decimal answers, then there are infinitely many possible ways to answer.

8 0
3 years ago
I'm can't seem to find a common base.<br><br> I know the answer's x=4 but I thought it was x=0.
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3 years ago
John has 3 fewer dimes than quarters. He has twice as many nickels as quarters. Altogether he
sweet-ann [11.9K]
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3 years ago
the volume of a cone of radius r and height h is given by v=1/3pir^2h. If the radius and height is both increasing at a constant
Tamiku [17]

Answer:

The rate of change of the volume \frac{dV}{dt} when the height is 9 centimeters and the radius is 6 centimeters is 24\pi \:\frac{cm^3}{s}

Step-by-step explanation:

This is a related rate problem because you know a rate and want to find another rate that is related to it. If 2 variables both vary with respect to time and have a relation between them, we can express the rate of change of one in terms of the other.

From the information given we know:

  • \frac{dr}{dt}=\frac{1}{2}\:\frac{cm}{s}
  • \frac{dh}{dt}=\frac{1}{2}\:\frac{cm}{s}
  • The volume of a cone of radius r and height h is given by V=\frac{1}{3} \pi r^2 h

We want to find the rate of change of the volume \frac{dV}{dt} when the height is 9 centimeters and the radius is 6 centimeters.

Applying implicit differentiation to the formula of the volume of a cone we get

\frac{dV}{dt}=\frac{1}{3}\pi [r^2\frac{dh}{dt}+2rh\frac{dr}{dt} ]

Substituting the values we know into the above formula:

\frac{dV}{dt}=\frac{1}{3}\pi [(6)^2\frac{1}{2}+2(6)(9)\frac{1}{2} ]\\\\\frac{dV}{dt}=\frac{1}{3}\pi[18+54]\\\\\frac{dV}{dt}=\frac{72\pi}{3}=24\pi \:\frac{cm^3}{s}

5 0
4 years ago
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