Answer:
The area of △ABC is 2 square units greater than the area of parallelogram GHJK.
Step-by-step explanation:
Answer:
$1307.69
Step-by-step explanation:
Let the original investment be x.
Note that a 30% increase in a value is equal to multiplying a value by 130% and a withdrawal is to take out money. The final amount is $1500. Let’s write the equation with the information we have.
Equation:
130%x - 200 = 1500
(130/100)x = 1700
x = 1700(100/130) = $1307.69
I hope this helps! :)
Answer:
The set of all points on a plane equidistant to a given point
Step-by-step explanation:
"following"?
9 because the symbols around -12 and -3 so they would just become positive number 12 and 3. Subtract them and you get 9 :)
Answer:
<h2>3 and -8</h2>
Step-by-step explanation:
![x,\ y-the\ numbers\\\\\text{The sum of four times a number and five times another number is -28:}\\\\4x+5y=-28\\\\\text{The sum of nine times the first number and two times the second number is 11:}\\\\9x+2y=11\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}4x+5y=-28&\text{multiply both sides by2}\\9x+2y=11&\text{multiply both sides by (-5)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}8x+10y=-56\\-45x-10y=-55\end{array}\right}\qquad\text{add both sides of the equation}](https://tex.z-dn.net/?f=x%2C%5C%20y-the%5C%20numbers%5C%5C%5C%5C%5Ctext%7BThe%20sum%20of%20four%20times%20a%20number%20and%20five%20times%20another%20number%20is%20-28%3A%7D%5C%5C%5C%5C4x%2B5y%3D-28%5C%5C%5C%5C%5Ctext%7BThe%20sum%20of%20nine%20times%20the%20first%20number%20and%20two%20times%20the%20second%20number%20is%2011%3A%7D%5C%5C%5C%5C9x%2B2y%3D11%5C%5C%5C%5C%5Ctext%7BWe%20have%20the%20system%20of%20equations%3A%7D%5C%5C%5C%5C%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D4x%2B5y%3D-28%26%5Ctext%7Bmultiply%20both%20sides%20by2%7D%5C%5C9x%2B2y%3D11%26%5Ctext%7Bmultiply%20both%20sides%20by%20%28-5%29%7D%5Cend%7Barray%7D%5Cright%5C%5C%5C%5C%5Cunderline%7B%2B%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D8x%2B10y%3D-56%5C%5C-45x-10y%3D-55%5Cend%7Barray%7D%5Cright%7D%5Cqquad%5Ctext%7Badd%20both%20sides%20of%20the%20equation%7D)
![.\qquad-37x=-111\qquad\text{divide both sides by (-37)}\\.\qquad\qquad\boxed{x=3}\\\\\text{Put the value of x to the first equation:}\\\\4(3)+5y=-28\\12+5y=-28\qquad\text{subtrac 12 from both sides}\\5y=-40\qquad\text{divide both sides by 5}\\\boxed{y=-8}](https://tex.z-dn.net/?f=.%5Cqquad-37x%3D-111%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%20%28-37%29%7D%5C%5C.%5Cqquad%5Cqquad%5Cboxed%7Bx%3D3%7D%5C%5C%5C%5C%5Ctext%7BPut%20the%20value%20of%20x%20to%20the%20first%20equation%3A%7D%5C%5C%5C%5C4%283%29%2B5y%3D-28%5C%5C12%2B5y%3D-28%5Cqquad%5Ctext%7Bsubtrac%2012%20from%20both%20sides%7D%5C%5C5y%3D-40%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%205%7D%5C%5C%5Cboxed%7By%3D-8%7D)