Answer:
166
Step-by-step explanation:
If the four lines are tangent to the circle, know that:
NA = KA
AD = LD
LC = MC
MB = NB
The question stated that:
NA = 18 --> KA is also 18
BN = 11 --> MB is also 11
AD = 34 --> LD is also 34
BC = 31 --> MC is 20 (Because BC is BM + MC and BM is 11)
We can just add these numbers.
(18+18) + (11 + 11) + (20+20) + (34+34)
= 36 + 22 + 40 + 68
= 76 + 90
= 166
The perimeter of ABCD is 166.
Im not an expert or anything, but i think for the innequality, i would say

as far as the amount of people she can invite, do 500-100=400 because of the setup fee, then, to find how many people she can invite. 400÷6.50 which leaves you with the highest amount of people she can invite without going over budget, as 61.
Answer:
D
Step-by-step explanation:
Answer:
One Solution:

Infinitely Many Solution:

No Solution:

Step-by-step explanation:
System 1


Hence only one solution 
System 2

Both represents the same line. Hence these have infinitely many solutions.
System 3

Compare both the lines with
, where m is the slope.
for both the lines.
Hence these two lines are parallel that means there does not exists any point of intersection
So this system will not have any solution.
Answer:
Hey there!
When we have a^b, b is the power.
Thus, in -5^2, 2 is the power.
Let me know if this helps, or if you need more help :)