Answer:In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects. A line is said to be perpendicular to another line if the two lines intersect at a right angle. Explicitly, a first line is perpendicular to a second line if (1) the two lines meet; and (2) at the point of intersection the straight angle on one side of the first line is cut by the second line into two congruent angles.
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u>Given:</u>

<u>Use the Power Rule Law:</u>

<u>Use the Quotient Rule Law:</u>

<u>Use the Product Rule Law:</u>

<u>Simplify:</u>






Answer:
x=25 degrees and the angles are vertical (opposite each other)
Step-by-step explanation:
(4x-25)=75
4x=100
x=25
Answer:
C = 6.28r
Step-by-step explanation:
If the circumference of a circle is C, then C = 2(3.14)r, where r is the radius.
Then C = 6.28r
This problem is a combination of the Poisson distribution and binomial distribution.
First, we need to find the probability of a single student sending less than 6 messages in a day, i.e.
P(X<6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
=0.006738+0.033690+0.084224+0.140374+0.175467+0.175467
= 0.615961
For ALL 20 students to send less than 6 messages, the probability is
P=C(20,20)*0.615961^20*(1-0.615961)^0
=6.18101*10^(-5) or approximately
=0.00006181