The answer to all of them is yes.
6) The lengths of AB and CD using the distance formula. (because congruent segments have equal length)
7) The slopes of AB and CD are equal using the slope formula. (because parallel segments have equal slopesL
8) The slopes of AB and CD are negative reciprocals using the slope formula. (because perpendicular lines have slopes that are negative reciprocals)
9) The two segments that CD is split into by AB have equal length using the distance formula. (because a segment bisector splits a segment into two congruent segments, and congruent segments have equal length)
10) Angles CAB and DAB have the same measure using the angle between two lines formula. (Because an angle bisector splits an angle into two congruent angles, and congruent angles have equal measure)
11) Angles A and B have the same measure using the angle between two lines formula. (Because an angle bisector splits an angle into two congruent angles, and congruent angles have equal measure)
12) The lines that form angle A have slopes that are negative reciprocals using the slope formula. (because perpendicular lines have slopes that are negative reciprocals, and perpendicular lines form right angles)
13) The lengths of AB and AC combined equal the length of AC using the distance formula.
14) Two sides of triangle ABC have equal length using the distance formula.
15) All four sides of ABCD have the same length using the distance formula.
16) Letting AB and CD meet at E, the distance formula says AE=BE and CE=DE.
A) x * y = 12
B) x + y = -7
A) x = 12 / y
Substitute this into B
B) 12/y + y = -7
multiplying both sides by "y"
12 + y^2 = -7y
y^2 + 7y + 12 = 0
y = -4
and from equation B we calculate x as -3
Answer with Step-by-step explanation:
We are given that n and m are two integers
We have to prove that if n-m is even , then
is also even.
We know that sum of two odd numbers is even.Sum of an odd number and even number is odd.
Product of an odd number and even number is even.
Case 1.Suppose m and n are both even n=4 , m=2


Case 2.Suppose m odd and n odd
n=9,m=5


Hence, proved.
Answer:
480 students are transported to school each day.
Step-by-step explanation:
Since there are 12 buses and each one of them transports 40 students that means that the total amount of students will be equal to...
12 x 40 = 480
F -6*-6 = 36 which is a positive interger