Yes,this is a doozy.
<u>-3 (y - 5) = 15</u>
Eliminate the parentheses on the left side:
-3(y) -3(-5) = 15
-3y + 15 = 15
Subtract 15 from each side:
-3y = 0
Divide each side by -3 :
<em> y = 0</em>
<h3>
Answer: 2x/15</h3>
T = total amount of money = (14x^2)/15
y = amount of money each person receives
n = number of people
y*n = T
y*7x = (14x^2)/15
y = (1/(7x))*(14x^2)/15 .... multiply both sides by 1/(7x)
y = 2x/15
The sum of adjacent sides is half the perimeter, so is 25 cm. Since the side lengths are consecutive numbers, they are both nearly half of 25 cm. One side is 12 cm, the other is 13 cm.
These lengths, then, are one leg and the hypotenuse of the right triangle that makes up half the parallelogram. The other leg, the altitude, is found using the Pythagorean theorem (or your knowledge of Pythagorean triples). It is
... altitude = √((13 cm)² -(12 cm)²) = √(25 cm²) = 5 cm
The length of the altitude is 5 cm.
