I think the answer is D hope this helps
Opposite angles in a cyclic quadrilateral add up to 180 degrees .
So the angle opposite angle A ( that is angle C) must be 180-95 = 85 degrees
Answer:
Angle ABC is equal to 130.4°
Step-by-step explanation:
When an angle is bisected, it is divided into two equal parts, so if BD bisects ∠ABC, then the two angles that add up to it, ∠ABD and ∠DBC, must be equivalent.
We know that ∠ABD equals 65.2, so that must mean that ∠DBC also equals 65.2.
Here is our equation:
∠ABC=∠ABD+∠DBC
After substituting, we will get
∠ABC=65.2+65.2=130.4
130.4° is the measure of ∠ABC.
Answer:
P(X>17) = 0.979
Step-by-step explanation:
Probability that a camera is defective, p = 3% = 3/100 = 0.03
20 cameras were randomly selected.i.e sample size, n = 20
Probability that a camera is working, q = 1 - p = 1 - 0.03 = 0.97
Probability that more than 17 cameras are working P ( X > 17)
This is a binomial distribution P(X = r) 

P(X>17) = P(X=18) + P(X=19) + P(X=20)
P(X=18) = 
P(X=18) = 
P(X=18) = 0.0988
P(X=19) = 
P(X=19) = 
P(X=19) = 0.3364
P(X=20) = 
P(X=20) = 
P(X=20) = 0.5438
P(X>17) = 0.0988 + 0.3364 + 0.5438
P(X>17) = 0.979
The probability that there are more than 17 working cameras should be 0.979 for the company to accept the whole batch
Answer:
C. 50
Step-by-step explanation:
The triangles are proportional and that is why you can find the scale factor. Set up a proportion (equivalent fractions). Set the proportion up with the corresponding sides together on thee top or the bottom of the proportion.
<u>65 </u> = <u> 91</u>
x 70
91x = 65 * 70
<u>91x</u> = <u>4550</u>
91 91
x = 50