Hi there! The answer is A. x = 12
The angles (taken together) are complementary angles: the sum of the angles is 90 degrees. When we know this, we can set up and solve an equation.
(3x + 6) + 48 = 90
Work out the parenthesis
3x + 6 + 48 = 90
Collect terms
3x + 54 = 90
Subtract 54
3x = 36
Divide by 3
x = 36 / 3 = 12
Therefore, the solution for x, gives x = 12. A is the correct answer.
Hello!
A circle is a round plane figure what's boundary is made of points from the center..
Hope this helps! ☺♥
X = 15/7
I hope this helps
Step-by-step explanation and answers:
300 articles at a total cost of $1500:
$1500 / 300 = $5 / article
Sells 260 articles at a price 20% above this ^ price:
20% of $5 is $1, so $5 + $1 = $6
Then he sells 260 articles at the price of ^ $6
260 * $6 = $1560
Each of the remaining articles is sold at a price that's 50% of the 260 he sold.
He sold those for $6, so he would now sell the last 40 for $3
From the remaining 40 articles, he makes 40 * $3, or $120
The shopkeeper made $1560 + $120 = $1680, which is $180 more than he bought them for ($1500)
Therefore, he made a profit percentage of $180 / $1500, (the amount of profit over the amount spent).
He made a profit percentage, compared to the cost price, of 12%.
11a) False. If you simplify 8/30 you get 4/15 not 2/15.
11b) False. If you simplify 6/15, you get 2/5 not 3/5.
11c) true. 5/15 can be simplified to 1/3.
