Answer:
5.3
Step-by-step explanation:
Since they are similar triangles, we assume the ratio between AM/AN is equal to the ratio between MB/NC.
AM/AN = 6/8 = 3/4
If MB is 4
3/4 = MB/NC = 4/NC
3/4 = 4/NC
3NC = 16
NC = 16/3
16/3 = 5.333333
Answer: for 9 attendees it would cost $18
Step-by-step explanation: First you have to find the unit rate. So for every 7 attendees it costs $14, divide them both by the GCF which is 7. 14÷7=2
7÷7=1
So for every 1 attendee it is $2.
Now to figure out how much it would cost for 9 attendees, figure out what you have to do to 1 to get 9. Multiply it by 9.
And whatever you do to one number you have to do for the other. So $2 • 9 = $18
So for every 9 attendees it costs $18.
The square root 5 is irrational because a square root of a positive number is either an integer or irrational number. Therefore it is irrational.
Answer:
y=8
Step-by-step explanation:
the sum of the three angles is 180
57 + 90 + 5y-7 = 180
5y + 140 = 180
5y = 40
y = 8
Answer: The 18th term is 295.
Step-by-step explanation: By using the arithmetic sequence formula:
a(n): nth term
a(1): first term
n: term position
d: common/constant difference
a(n) = a(1) + (n - 1)d
You should get an equation of a(n) = 6+(18 - 1)17. By following the order of operations, you should receive an 18th term of 295.