Vertical angles are congruent...they are equal....so set them equal to each other and solve for x
6x - 22 = 4x + 2
6x - 4x = 2 + 22
2x = 24
x = 24/2
x = 12 <==
Answer: isosceles
Step-by-step explanation:
By the alternate interior angles theorem, 
Since angles in a triangle add to 180 degrees, 
Since sides opposite equal angles in a triangle are equal,
.
So, triangle ABC is <u>isosceles</u>
Answer:
During the year 2021.
Step-by-step explanation:
As we have a function that defines the annual per capita out-of-pocket expenses for health care, we can work with it.
Knowing that, <u>we clear x</u> (<em>this is the number of years past the year 2000, so it will contain our desired information</em>).

Now, as we want to know when are the per capita out-of-pocket expenses for health care predicted to be $1400, and <em>this total is our variable y</em>, then

Finally, we know that <u>x is the number of years past the year 2000</u>, so the answer is that during the year 2021, <em>the per capita out-of-pocket expenses for health care are predicted to be $1400</em>.
Answer:
The slope of the function is 4040 which represents the monthly fee to remain a member.
Step-by-step explanation:
i promise its right
LCM=product of highest occurring primes in the numbers prime factorization.
GCF=product of shared primes in the numbers prime factorization.
16=2*2*2*2
Since the GCF is 8 N and 16 share only 2*2*2
Since the LCM is 48 and 16 has 2*2*2*2 the other number has a factor of 3
So the other number is 2*2*2*3=24
N=24