Which sequence is modeled by the graph below? a) an = one third(27)n − 1 b) an = 27(one third)n − 1 c) an = one third(3)n − 1 d) an = 3(one half)n − 1

We can see from points

(2,1) means for n = 2, a = 1

(3,3) means for n = 3, a = 3

(4,9) means for n = 4 , a= 9

Now try to see relation in outputs 1,3,9.

We can write 1 as

3 as

9 as

So (2,2) would mean for n =2, a = 1 or ----------------(1)

(3,3) would mean for n = 3, a = 3 or -------------(2)

(4,9) would mean for n = 4, a = 9 or --------------------(3)

From (1) we can see for n =2, exponent on 3 is 0

From (2) we can see for n =3, exponent on 3 is 1

From (3) we can see for n =4, exponent on 3 is 2

So we can see the pattern whatever is n value its 2 less is the exponent on 3. So for n exponent on 3 will be n-2

For n = n, a =

Now looking at options given

option (A) doesnt match to

so its incorrect

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option (B) doesnt match to

so its incorrect

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option (B) which we can also write as

we subtract exponents when dividing same bases so we subtracted exponent 1 from n-1 and finally got

so option (c) matches and is right answer

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option (D) doesnt match to

so its incorrect

people grow faster than other people.

step-by-step explanation:

should you really be posting this isn't math boi.

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.