<span>Consider a angle â BAC and the point D on its defector
Assume that DB is perpendicular to AB and DC is perpendicular to AC.
Lets prove DB and DC are congruent (that is point D is equidistant from sides of an angle â BAC
Proof
Consider triangles ΔADB and ΔADC
Both are right angle, â ABD= â ACD=90 degree
They have congruent acute angle â BAD and â CAD( since AD is angle bisector)
They share hypotenuse AD
therefore these right angle are congruent by two angle and sides and, therefore, their sides DB and DC are congruent too, as luing across congruent angles</span>
Answer:
41,055
Step-by-step explanation:
If there are 805 students in each of 51 schools, the total number of students is ...
(805 students/school) × (51 schools) = 41,055 students
_____
We have to assume that all of the students in the county go to county schools. Apparently, we are to ignore the students that are dropouts or homeschooled, or that go to schools not in the county.
Answer:
0.315 per lb
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20 (suggested in the article "Dynamic Ride Sharing: Theory and Practice"†).
a) 
b) 
c) 
d) 2 std dev = 2(20) =40
Hence 2 std deviation means
20-40, 20+40
i.e. (0,60)

Answer:
The correct option is C. 126 in²
Step-by-step explanation:
Diameter of the container = 5 inches
⇒ radius of the container = 2.5 inches
Height of the container = 8 inches
To find how much paper is needed to create the label : We need to find the lateral surface area of the cylindrical shaped container
Lateral Surface Area of Cylinder = 2·π × radius × height
= 2 × 3.14 × 2.5 × 8
= 125.66 square inches
≈ 126 square inches
Hence, 126 square inches of paper is needed to create the label.
So, The correct option is C. 126 in²