9514 1404 393
Answer:
26,244
Step-by-step explanation:
The sequence is geometric with a common ratio of -3. The general term is ...
an = (a1)r^(n-1)
The first term is 4, so we have ...
an = 4·(-3)^(n-1)
For n=9, we find the 9th term to be ...
a9 = 4·(-3)^(9-1) = 4·3^8
a9 = 26,244
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<em>Additional comment</em>
When -3 is raised to an even power, the sign of the product is positive, the same as 3 raised to that power.
If these triangles are congruent, then side RS is congruent to side TV and that means that y = 4 - x. If y = 4-x, we can sub that into the next equation where side RV = side ST and 1 = 4x - y. If y = 4-x, we sub in accordingly to get 1 =4x - (4 - x). That simplifies to 1 = 4x - 4 + x which is, combining like terms, 5 = 5x. That means that x = 1. If x = 1, and y = 4 - x, then y = 4 - 1 and y = 3. There you go!
Answer:
21
Step-by-step explanation:
5 = 2(x - 8) -x
5 = 2x - 16 -x
5 = x - 16
16 + 5 = x
21 = x
Answer:
m<4= 81 by the alternate interior postulate
