Given two terms from a geometric sequence, identify the first term and the common ratio: a5= 48 and a11= 3,072.

a1 = 2 and r = 3

a1 = 3 and r = 2

a1 = 2 and r = 2

a1 = 3 and r = 3

a1 = 3 and r = 2

Step-by-step explanation:

A geometric progression, also called a geometric sequence, is a sequence of numbers whereby every term after the first is gotten by multiplying the previous one by a fixed and non-zero number that is called the common ratio.

In this geometric progression, a5= 48 and a11= 3,072. To get the first term and the common ratio has been attached.

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180