Answer:
A = choosing a red marble
B = choosing a green marble
Probability of A happening = P(A) = 5/(3+5+4) = 5/12
Probability of B happening = P(B) = 4/(3+5+4) = 4/12
Probability of either happening = P(A) + P(B) = 5/12 + 4/12 = 7/12
The key word in their question is red OR green and that is why we add the two probabilities. If they ask the probability of them both happening (if they said red AND green), you would multiply P(A)*P(B).
Slope is the change in Y ( vertical) over the change in X( horizontal).
The slope would be -2 /3
You would multiply the horizontal distance by the slope:
-2/3 x 12 = -8
The answer would be D. v(h)=-2/3h, and the vertical distance is -8 feet.
Answer:
Draw intersecting arcs inside the angle from points D and E without changing the compass width.
Step-by-step explanation:
The next step from here, will be :
Draw intersecting arcs inside the angle from points D and E without changing the compass width.
After this, draw a straight line from B to the arcs made from above step. This line is the angle bisector.
1. First, you must apply the formula
for calculate the sum of the interior angles of a regular polygon, which is
shown below:
(n-2) × 180°
"n" is the number of sides of the polygon (n=5).
2. Then, the sum of the interior angles of the pentagon, is:
(5-2)x180°=540°
3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:
α+α+2α+2α+2α=540°
8α=540°
α=540°/8
α=67.5°
4. Finally, the larger angle is:
2α=2(67.5°)=135°
5. Therefore, the answer is: 135°
