Depends on what kind of a triangle
Answer:
2. 27
3. Option C. 3, 5, 9, 17, 33, ...
Step-by-step explanation:
2. The sequence is defined by the explicit function 
Therefore, the 5th term i.e.
of the sequence.
(Answer)
3. The explicit definition is 
Hence, 



Therefore, the option C is the right sequence. (Answer)
Answer: 
Step-by-step explanation:

Multiply by the reciprocal in order to get rid of the fraction in the denominator.



Answer:
the number of child plates and adults plates were served is 125 and 155 respectively
Step-by-step explanation:
Let us assume the child plate be x
And, the adult plates be y
Now according to the question
x + y = 280 .................(1)
2.60x + 9.50y = 1797.50 .............(2)
Now multiply by 2.60x in equation (1)
2.60x + 2.60y = 728
2.60x + 9.50y = 1797.50
-6.90y = -1069.50
y = 155
So, x = 280 - 155
= 125
hence, the number of child plates and adults plates were served is 125 and 155 respectively
The picture in the attached figure
we know that
m ∠ 6=123.5°
m ∠6+m∠2=180°-------> by supplementary angles
so
m∠2=180-m∠6-----> 180-123.5------> m∠2=56.5°
m∠1=m∠2--------> by corresponding angles
so
m∠1=56.5°
the answer ism∠1 is 56.5°