50, 20, 8, ...
Find the 8th term.

0.08192

Step-by-step explanation:

Given 50, 20, 8, ...

The sequence is geometric in nature

The nth term of the geometric sequence is exoressed as;

Tn = ar^{n-1}

a is the first term = 50

r is the common ratio = 20/50 = 8/20 = 2/5

n is the number of term = 8 (since we need the 8th term)

Substitute

T8 = 50(2/5)^{8-1}

T8 = 50(2/5)^7

T8 = 50(128/78,125)

T8 = 0.08192

Hence the 8th term is 0.08192

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.