Answer:
ab=9 and ac=12
Step-by-step explanation:
Answer:
72°
Explanation:
Given that line J and line K are parallel, we can safely assume that line m is the transversal for the following question. We can also remove line l so that we can focus on line m instead.
Using the rule of <u>Alternate Exterior Angle</u> theorem, x would equal to 72°.
3(x+7)<7(x+2)
Inequality Form: x>7/4
Interval Notation: (7/4, infinity)
Answer:
60 degrees
Step-by-step explanation:
First find angle I by using the sum of the angles in a triangle is 180 degrees
59+61+I = 180
120 + I = 180
I = 180-120
I =60
<I = <x since they are corresponding angles
<x = 60 degrees
Prove:
Using mathemetical induction:
P(n) = 
for n=1
P(n) = 
= 6
It is divisible by 2 and 3
Now, for n=k, 
P(k) = 
Assuming P(k) is divisible by 2 and 3:
Now, for n=k+1:
P(k+1) = 
P(k+1) = 
P(k+1) = 
Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also
divisible by 2 and 3.
Hence, by mathematical induction, P(n) = is divisible by 2 and 3 for all positive integer n.
