Answer:
∠AEC = 139°
Step-by-step explanation:
Since EC bisects ∠BED then ∠BEC = ∠CED = 4x + 1
∠AED = ∠AEB + ∠BEC + ∠CED = 180 ← straight angle
Substitute values into the equation
11x - 12 + 4x + 1 + 4x + 1 = 180, that is
19x - 10 = 180 ( add 10 to both sides )
19x = 190 ( divide both sides by 19 )
x = 10
Hence
∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11, hence
∠AEC = (15 × 10) - 11 = 150 - 11 = 139°
Answer: 3/2
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Explanation:
Pick any two points on the red line. I'll pick (0,1) and (2,4)
Those coordinates will be plugged into the slope formula below
m = (y2 - y1)/(x2 - x1)
m = (4 - 1)/(2 - 0)
m = 3/2
This means we go up 3 and over to the right 2 when traveling along this red line.
Answer:
Point (-5,21) would end up in quadrant II (2).
Step-by-step explanation:
It would end up in quadrant 2 because x=-5 which means it would go left.
y=21 which means it would go up.
Because of this, the point would end up in the top left of the graph which is quadrant 2.
Answer:
Step-by-step explanation:
Given,
Red marbles = 3,
Green marbles = 10,
So, the total marbles = 3 + 10 = 13,
Since, here replacement is not allowed,
Thus, the probability of getting a green marble and a red marble
= first red and second green + first green second red
Note : The probability of getting a green marble first and a red marble second
= 
Answer: 0, 4, -9
Set the equation equal to zero.
x(x - 4)(x + 9) = 0
Solve for x by setting each factor equal to zero.
The factors in the equation are x, (x - 4), and (x + 9).
x = 4
x = -9
The zeros of the function are 0, 4, and -9.
