Definition: The amount of increase, divided by the original amount, equals the ____ of increase.

Mathematics

2 answers:

siniylev [52]3 years ago

7 0

Answer: percent

Step-by-step explanation:

Alekssandra [29.7K]3 years ago

4 0

Answer:

Percent

Step-by-step explanation:

amount of increase divided by original amount times 100 equals the percent of increase

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An equiangular triangle has one angle of measure 2x+8. What is x?

lina2011 [118]

Answer:

$x=26\\$

Step-by-step explanation:

The sum of the interior angles of a triangle add up to $180^{\circ}$ . Therefore, an equiangular triangle will have each of its angles equal to $60^{\circ}}$ . We can then set up the following equation:

$2x+8=60, \\2x=52, \\x=\fbox{$26$}$ .

3 0

4 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20k%20-%20%28k%20%2B%20%20%5Cfrac%7B1%7D%7B4%7D%29%20%3D%20%20%5Cfrac

VikaD [51]

Firstly, foil -(k + 1/4) (think of the minus sign as -1):

$\frac{2}{3}k-k-\frac{1}{4}=\frac{1}{12}k+\frac{4}{12}$

Next, combine like terms:

$-\frac{1}{3}k-\frac{1}{4}=\frac{1}{12}k+\frac{4}{12}$

Next, we have to add 1/3k on both sides, but first we have to find the LCD, or lowest common denominator, of 3 and 12. To do this, list the multiples of both and the lowest one they share is their LCD. In this case, the LCD is 12. Multiply both sides of -1/3 by 4/4 and 1/12 by 1/1:

$-\frac{1}{3}\times \frac{4}{4}=-\frac{4}{12}\\\\\frac{1}{12}\times \frac{1}{1}=\frac{1}{12}\\\\-\frac{4}{12}k-\frac{1}{4}=\frac{1}{12}k+\frac{4}{12}$

Now add 4/12k on both sides of the equation:

$-\frac{1}{4}=\frac{5}{12}k+\frac{4}{12}$

Next, to subtract 4/12 on both sides we need to find the LCD of 4 and 12. It's the similar process as we did with 12 and 3. This time the LCD is also 12. Multiply both sides of -1/4 by 3/3 and 4/12 by 1/1:

$-\frac{1}{4}\times \frac{3}{3}=-\frac{3}{12}\\\\\frac{4}{12}\times \frac{1}{1}=\frac{4}{12}\\\\-\frac{3}{12}=\frac{5}{12}k+\frac{4}{12}$