20% as a decimal is 0.2
Hope this helps!
n% = percentage of people that chose hot chocolate
150 x n% = 72
n / 100 = 72 / 150
n = 48
= total people x hot Choco percentage
= 500 x 48%
= 240
Angle f is 146 degrees
<h2>
Explanation:</h2>
Hello! Recall that you have to post complete questions in order to get good and correct answer. However, I have attached a figure below that I think represents the statement of your problem.
In this case, we can set the following equations:
(1) ∠d = (3x + 7)°
(2) ∠e = (4x - 2)°
These two angles are Alternate interior angles. They are interior angles because they're between the parallel lines ( and ) and they are alternate angles because they're on different sides of the transversal line (The third one that passes through the parallel lines)
Alternate interior angles are always congruent to each other, so this means they have the same measure. In other words:
∠d = ∠e
(3x + 7)° = (4x - 2)°
Isolating x:
3x + 7 = 4x - 2
Combine like terms:
7 + 2 = 4x - 3x
9 = x
x = 9
So:
∠e = (4x - 2)°
∠e = [4(9) - 2]°
∠e = [36 - 2]°
∠e = 34°
∠e and ∠f are supplementary angles meaning they add up to 180 degrees, so:
∠e + ∠f = 180°
Isolating ∠f:
34°+ ∠f = 180°
∠f = 180° - 34°
∠f = 146°
<h2>Learn more:</h2>
Complementary angles: brainly.com/question/12254549
#LearnWithBrainly
Answer:4/7
Step-by-step explanation:
Can be broken down into square root of 16 over the square root of 49. Square root of 16=4. Square root of 49=7. Final answer=4/7
You would distribute the -2 and the first b-2
-2xb= -2b
-2x-2= 2
So it would now be -2b - 2 (b-2)