First factorise the top = -(w+6)
The first factorise the bottom: (w^2 + 4w -12) = (w+6) (w-2)
Therefore the two (w+6) cancels out and you are left with -1 / w-2
It would be 3.667 for 11/3 and for 5/6 it would be 0.8333333333
Using the definition of angles on a straight line, the measure of angle BEC is: 62°.
<h3>What are Angles on a Straight Line?</h3>
Angles that lie on a straight line add up to 180 degrees.
Thus, given that EB bisects ∠AEC, therefore:
m∠BEC = 1/2(180 - m∠CED)
Plug in the values
m∠BEC = 1/2(180 - 56)
m∠BEC = 1/2(124)
m∠BEC = 62°
Thus, using the definition of angles on a straight line, the measure of angle BEC is: 62°.
Learn more about angles on a straight line on:
brainly.com/question/24024505
32 gallons of 25 % antifreeze should be combined with 8 gallons of 50 % antifreeze to get 40 gallon of 30% antifreeze
<h3><u>
Solution:</u></h3>
From given,
Final mixture is 40 gallon
Let "x" be the gallon of 25 % antifreeze
Then, (40 - x) is the gallon of 50 % antifreeze
Therefore, according to question,
"x" gallons of 25 % antifreeze should be combined with (40 - x) gallons of 50 % antifreeze to get 40 gallon of 30% antifreeze
<h3><u>Therefore, we frame a equation as:</u></h3>
25 % of x + 50 % of (40 - x) = 30 % of 40
Solve for "x"

Thus, 32 gallons of 25 % antifreeze is used
Then, (40 - x) = (40 - 32) = 8
Thus 8 gallons of 50 % antifreeze is used