Answer:
C. 75°
Step-by-step explanation:
We have been given a circle and we are asked to find the measure of angle AEC.
We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.
![m\angle AEC=\frac{110^o+40^o}{2}](https://tex.z-dn.net/?f=m%5Cangle%20AEC%3D%5Cfrac%7B110%5Eo%2B40%5Eo%7D%7B2%7D)
![m\angle AEC=\frac{150^o}{2}](https://tex.z-dn.net/?f=m%5Cangle%20AEC%3D%5Cfrac%7B150%5Eo%7D%7B2%7D)
![m\angle AEC=75^o](https://tex.z-dn.net/?f=m%5Cangle%20AEC%3D75%5Eo)
Therefore, measure of angle AEC is 75 degrees and option C is the correct choice.
Answer:
I think A
Step-by-step explanation:
sorry if it is not correct hope it helps
Answer:
x=-6
Step-by-step explanation:
Follow along:
1. Distribute the -3 to those within the parenthesis.
-3x-6=12
2. Move the whole numbers to one sides, isolate the variable.
-3x=18
3. Divide both sides by -3
x=-6
Your answer simplified should be 1.6 or 1 3/5
=)
Answer:
0.8125
Step-by-step explanation:
In this question, we are tasked with calculating the probability that 3 or less of her kittens were female.
Since each bsex is of likely probability, the probability of a male kitten = probability of a female kitten = 0.5
Now to calculate for 3 or less female kitten we are calcualting P(f) ≤ 3
In each case, we use the Bernoulli approximation
P(f) ≤ 3 = ![5C3 m^{2} f^{3} + 5C2 m^{2} f^{3} + 5C1 m^{4} f + 5C0 m^{5} f^{0}](https://tex.z-dn.net/?f=5C3%20m%5E%7B2%7D%20f%5E%7B3%7D%20%2B%205C2%20m%5E%7B2%7D%20%20f%5E%7B3%7D%20%2B%205C1%20m%5E%7B4%7D%20%20f%20%2B%205C0%20m%5E%7B5%7D%20%20f%5E%7B0%7D)
Where m is the probability of a male kitten and f is the probability of having a female kitten with both values = 0.5
P(f) ≤ 3 =(0.3125) + (0.3125) + (0.15625) + (0.03125) = 0.8125