First term a1 = -2
and the common difference is + 3
Answer is choice D
63
You take 180 subtract 54 and divide it by 2 that gives you the answer.
First, u have to find x so u set up this equation:
2x+2+3x+6=48
Then solve to get:
5x+8 = 48
5x=40
X=8
Then, u substitute 8 in the expression 3x+6:
3(8) +6
Ur final answer is 30.
Triangles QST and RST are similar. Therefore, the following is true:
q s
--- = ---- This results in 10q=rs.
r 10
Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.
4 s
Also: ---- = ----- which leads to s^2 = 40
s 10
Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2
Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)
