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alisha [4.7K]
3 years ago
15

Find the value of x in each case: If you solve this correctly, I will give you brainliest pleasee help

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

\text{Hello there! :)}

\huge\boxed{x = 22.5}\text{Since we know that DE and AC are parallel,}\\\\\text{We can use the Alternate-exterior angle congruency to determine the value of "x":}\\\\6x = 2x + \text{ The supplement of 4, therefore:}\\\\6x = 2x + 180 - 4x\\\\\text{Isolate the "x" variable by adding 4x and subtracting 2x from both sides:}\\\\8x = 180\\\\\text{Divide both sides by 8:}\\\\\boxed{x = 22.5}

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3 years ago
A cube has a volume of 64. What is the length of one side of the cube?
bearhunter [10]

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4

Step-by-step explanation:

The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.

What's a cube root?

  • The cube root of a number is the number you multiply by itself 3 times to get another number.
  • One common cube is 27, and the cube root of it is 3 because 3 x 3 x 3 = 27.

Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.

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We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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