Step-by-step explanation:
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Answer:
Correct option: A
Step-by-step explanation:
The angle BDC inscribe the arc mBC, so we have that:
mBDC = (1/2) * mBC
mBDC = (1/2) * 118 = 59°
From the secants relation in a circle, we have that:
mA = (1/2) * (mBC - mDE)
35 = (1/2) * (118 - mDE)
70 = 118 - mDE
mDE = 48°
The sum of the arcs is 360°, so we have:
mBC + mCD + mDE + mBE = 360
118 + mCD + 48 + 76 = 360
mCD = 360 - 118 - 48 - 76 = 118°
The angle mCBD inscribes the arc mCD, so we have:
mCBD = (1/2) * mCD = (1/2) * 118 = 59°
The angles mCBD and mBDC are equal, so the triangle is isosceles.
Correct option: A
Answer:
42°
Step-by-step explanation:
angle 3 + angle 4 = 180° because together they make a straight line. So your equation should be 23x + 7x = 180. Add the like terms and you get 30x=180. Divide by 30 on both sides to get x. now you know that x=6. angle 4 = 7x. so you would multiply 7*6 to get 42. Thus angle 4= 42°
Answer:
Probability that the piece will be filled with fudge is 4/15 = 0.2667
Step-by-step explanation:
In the question, a box of chocolate contains 15 identical looking pieces. These chocolate pieces are filled in the following way: There are
3 caramel
2 cherry cream
2 coconut
4 chocolate whip
4 fudge
So this makes 3+2+2+4+4= 15
As the total number of chocolate pieces are 15
Let E be the event that the chocolate piece is filled with fudge
As we know Probability of an event is
P(E) = number of favorable outcomes / number of possible outcomes
Here the favorable is the number of pieces filled with fudge and number of possible outcomes are 15 as there are 15 types of chocolate pieces. So the probability that the piece selected will be filled with fudge is:
P(E) = 4/15 = 0.2667
