<span>Draw a triangle and label is ABC.
Let angle A = x
let angle B = x
let angle C = 2x - 36
2x - 36 means that angle C is 36 degrees less than the sum of angle A and B.
Since the sum of the interior angles of a triangle is 180 degrees, then 2x + 2x - 36 = 180.
combine like terms in that equation and you get 4x - 36 = 180
add 36 to both sides of that equation and you get 4x = 216
divide both sides of that equation by 4 and you get x = 54 degrees
angle A = 54 degrees
angle B = 54 degrees
angle C = 108 - 36 = 72 degrees
54 + 54 + 72 = 108 + 72 = 180 degrees so the angles are good because
they add up to 180 degrees and the third angle is 36 degrees less than
the sum of the other 2.
</span>
A. Because one fifth of the kids had blue eyes out of the 30 kids
Rewrite s = 4 + sqrt(s+2) as s-4 = sqrt(s+2)
Square both sides: s^2 - 8s + 16 = s + 2
combine like terms: s^2 - 9s + 14 = 0
Factor this: (s-7)(s-2)=0
Solve for s: s={7, 2}
You will never be able to find this answer
Answer:
5.60 pounds each
Step-by-step explanation:
This is the dry mixture problem.
Let x = the number of pounds of the first type of candy
Therefore, number of pounds of second type of candy = 10-x
Value of first candy + value of second candy = value of mixture
Value of any candy = cost per pound of candy * weight of candy
Thus:
4x + 6(10 - x) = 5.60(10)
4x + 60 - 6x = 56
-2x + 60 = 56
-2x = -4
x = -4/-2
x = 2
Therefore, the number of pounds of first type of candy = 2 pounds
The number of pounds of second type of candy = 10 - 2 = 8 pounds
Check
$4(2) + $6(8) =
8 + 48 = $5.60(10)
$56 = $56
