What is m∠L? Enter your answer in the box. |___|°

Mathematics

1 answer:

leonid [27]3 years ago

7 0

L would measure at 54°. Because the angels of a triangle measure up to 180, you can set the equation up like this: 5x + 3x + 2x = 180. These are like values, so you can add them together to simplify a bit, yielding 10x = 180. Divide 180 by 10 to get x by itself, giving you 18. L = 3x, so 3(18) = 54.

You might be interested in

Darla found that the least common denominator needed to subtract \frac{x}{x^2+4x-12}-\frac{3}{x+6}is (x + 6)(x – 2). Which is th

Leona [35]

<h3>Answer: Choice B</h3>

$\frac{x}{(x+6)(x-2)} - \frac{3(x-2)}{(x+6)(x-2)}$

which is the same as x/((x+6)(x-2)) - 3(x-2)/((x+6)(x-2))

=====================================

Explanation:

The LCD is (x+6)(x-2) which is the factorization of x^2+4x-12, and that is the denominator of the first fraction. The first fraction has the LCD already. The second fraction does not. It has (x+6) but it is missing (x-2).

We multiply top and bottom of the second fraction by (x-2) to get the second fraction to have the LCD.

$\frac{3}{x+6}$ turns into $\frac{3}{x+6}*\frac{x-2}{x-2} = \frac{3(x-2)}{(x+6)(x-2)}$