Answer:
2, 16 and 256.
Step-by-step explanation:
Just substitute for n:-
first term ( when n = 1) = 2 * 2^(1-1)
= 2 * 1 = 2
4th term = 2 * 2^(4-1) = 16
8th term = 2* 2^(8-1) = 256
Answer:
x = 26
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the given angles and equate to 180
55 + 4x - 5 + x = 180, that is
50 + 5x = 180 ( subtract 50 from both sides )
5x = 130 ( divide both sides by 5 )
x = 26
Answer:
(1) D.Angle C is congruent to to Angle F. (2) C. SSS. (3) C. cannot be congruent to.
Step-by-step explanation:
1)
From the given figure it is noticed that


According to SAS postulate, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then both triangles are congruent.
The included angles of congruent sides are angle C and angle G.
So, condition "Angle C is congruent to to Angle F" will prove that the ∆ABC and ∆EFG are congruent by the SAS criterion.
2)
If 
According to SSS postulate, if all three sides in one triangle are congruent to the corresponding sides in the other.
Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore SSS criterion for congruence is violated.
3)
Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore the included angle of congruent sides are different.

Therefore angle C and angle F cannot be congruent to each other.
The equation for this is (n-2) x 180
Replace n with the number of sides:
a. 9: (9-2) x 180 = 7 x 180 = 1,260
b. 19: (19-2) x 180 = 17 x 180 = 3,060