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nasty-shy [4]
3 years ago
7

The legs of an isosceles triangle have lengths x+1 and -x+7 . The base has length 3x-3. What is the length of the base?

Mathematics
1 answer:
mote1985 [20]3 years ago
6 0

The only thing I'm a little unclear on here is what you mean by
the "legs" of an isosceles triangle. 

I'm going to assume that your isosceles triangle is standing on
the side you call the "base", and the "legs" are the two slanty ones,
standing up, which are the two equal sides.

With that set-up,                       x + 1 = -x + 7

Add  x  to each side:               2x + 1 =        7

Subtract  1  from each side:    2x      =        6

Divide each side by  2 :            x       =        3


Finally, if the base is  (3x - 3), then that's  (3·3 - 3)  =  6 .

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alex41 [277]

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3 years ago
What’s equivalent to 25^x
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Answer:

5^2x

Step-by-step explanation:

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simplify the expression by multiplying exponents

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icang [17]

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Step-by-step explanation:

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8 0
2 years ago
What is the solution to the system of equations? 2x+4t=12
katen-ka-za [31]

Answer:

C. (8, -1)

Step-by-step explanation:

{y = ¼x - 3}

{2x + 4y = 12

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3x - 12 = 12

+ 12 + 12

_________

3x = 24

__ __

3 3

x = 8 [Plug this back into both equations above to get the y-coordinate of −1]; -1 = y

I am joyous to assist you anytime.

6 0
3 years ago
Which explanation can be used to informally derive the formula for the volume of a cone?.
Elis [28]

The statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

<h3>The formula for the volume of a cone</h3>

If we look carefully at a cylinder and the cone, if both the objects have the same radius, still the volume of both the objects is different, that difference is been created because the cone is gradually decreasing to a point while the cylinder is of the same radius during the entire length.

This makes a difference in the volume of the two objects.

Therefore, the statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius.

Hence, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

Learn more about Cone:

brainly.com/question/1315822

6 0
2 years ago
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