Geometry help!! How did they get this answer?

Mathematics

1 answer:

Illusion [34]3 years ago

4 0

The sum of all the angles in a triangle is 180 degrees. The triangle in the picture is also an equilateral triangle because of the markings on it (the three arches and ticks show that the sides with the markings are congruent.)

So since an equilateral triangle has 3 angles and the angles are congruent, we can divide 180 by 3 to find out how many degrees each angle is; 60 degrees.

Since all angles are equal, angle A = angle B = angle C = 60 degrees.

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8% of a number is 20

Gnoma [55]

To find what the number is, we need to set up proportional fractions.
Currently, we have 8% of a number is 20.
To set up our fractions, put 100% under 8% as a fraction first.

It should look like this: 8/100 (hint: per-cent means per-hundred).

Now, we have 20 out of a number, x. This is because we are claiming that 20 is 8% of a number (if we just reword the question without changing the concept).
It should look like this: 20/x.

Our proportional fractions are:
20/x = 8/100.

To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).

This product equation should look like this:
20 x 100 (when simplified, we get 2000).

Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).

This product equation should look like this:
8x.

Now that we've cross-multiplied, set our two products as an equation.

8x = 2000.

To solve for x, divide both sides by 8 (remember, what you do to one side of an equation, you must do it to the other).

8x / 8 = x
2000 / 8 = 250.

x = 250

Your final answer is:

8% of 250 is 20.

I hope this helps!

3 0

3 years ago

Read 2 more answers

What is the solution for x in the equation? 10x − 4.5 + 3x = 12x − 1.1

Aleksandr [31]

Answer:in first part of equation add 10x and 3x (like terms)

13x-4.5=12x-1.1

move all terms containing x to left side of equation

13x-4.5-12x= -1.1

x-4.5= -1.1

Subtract 4.5 from both sides

x=3.4