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Aliun [14]
3 years ago
15

A pair of parallel lines is cut by a transversal:

Mathematics
2 answers:
statuscvo [17]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Ivenika [448]3 years ago
3 0

Answer:


Step-by-step explanation:

By using the process of elimination you can immediately disclose C and D as being incorrect.

35+85=120

180-85= 95

95=35+x

95-35=60

60-10=50

I think that is the right answer, but I am may be wrong. I hope it helps! : )

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In the illustration below, the three cube-shaped tanks are identical. The spheres in any given tank
fredd [130]

Answer:

1) Volume occupied by the spheres are equal therefore the three tanks contains the same volume of water

2) Amount \ of \, water \ remaining \ in \, the \ tank \ is \  \frac{x^3(6-\pi) }{6}

Step-by-step explanation:

1) Here we have;

First tank A

Volume of tank = x³

The  volume of the sphere = \frac{4}{3} \pi r^3

However, the diameter of the sphere = x therefore;

r = x/2 and the volume of the sphere is thus;

volume of the sphere = \frac{4}{3} \pi \frac{x^3}{8}= \frac{1}{6} \pi x^3

For tank B

Volume of tank = x³

The  volume of the spheres = 8 \times \frac{4}{3} \pi r^3

However, the diameter of the spheres 2·D = x therefore;

r = x/4 and the volume of the sphere is thus;

volume of the spheres = 8 \times \frac{4}{3} \pi (\frac{x}{4})^3= \frac{x^3 \times \pi }{6}

For tank C

Volume of tank = x³

The  volume of the spheres = 64 \times \frac{4}{3} \pi r^3

However, the diameter of the spheres 4·D = x therefore;

r = x/8 and the volume of the sphere is thus;

volume of the spheres = 64 \times \frac{4}{3} \pi (\frac{x}{8})^3= \frac{x^3 \times \pi }{6}

Volume occupied by the spheres are equal therefore the three tanks contains the same volume of water

2) For the 4th tank, we have;

number of spheres on side of the tank, n is given thus;

n³ = 512

∴ n = ∛512 = 8

Hence we have;

Volume of tank = x³

The  volume of the spheres = 512 \times \frac{4}{3} \pi r^3

However, the diameter of the spheres 8·D = x therefore;

r = x/16 and the volume of the sphere is thus;

volume of the spheres = 512\times \frac{4}{3} \pi (\frac{x}{16})^3= \frac{x^3 \times \pi }{6}

Amount of water remaining in the tank is given by the following expression;

Amount of water remaining in the tank = Volume of tank - volume of spheres

Amount of water remaining in the tank = x^3 - \frac{x^3 \times \pi }{6} = \frac{x^3(6-\pi) }{6}

Amount \ of \ water \, remaining \, in \, the \ tank =  \frac{x^3(6-\pi) }{6}.

5 0
3 years ago
The graph of f(x) = x2 + x - 6 is shown below.
guapka [62]

Answer:

the solutions of a function are the points where for some value of x the function becomes zero

thus the solns for this graph would be

<h3>-3 , 2</h3>

that's option 1.

3 0
2 years ago
Consider the graph of f(x) = x is shifted up 8 units, what would be the equation of the new graph?
anygoal [31]
F(x) = x + 8

This is because you are simply moving the y-intercept up 8 units.

Please consider marking this answer as Brainliest to help me advance.
5 0
3 years ago
Which equations have the variable term in the equation 6 + 2x = 6x - 9 isolated to one side of the equals sign, and
MrRissso [65]

Answer:

-4x = -3

3 = 4x

7 0
3 years ago
Read 2 more answers
Plssssss help me I don’t understand this!!!
tatyana61 [14]

Answer:

D. 375

Step-by-step explanation:

this is the answer because the distance you need to travel doesn't change based off the amount of gas you have

4 0
3 years ago
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