Given the functions f(n) = 11 and g(n) = (3/4)n − 1, combine them to create a geometric sequence, an, and solve for the 9th term.

  an  = (11 ⋅  3/4)n − 1; a9  ≈ 24.301  an  = 11(3/4)n − 1; a9  ≈ 1.101  an  = 11 + (3/4)n − 1; a9  ≈ 11.100  an  = 11 − (3/4)n − 1; a9  ≈ 9.900

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq