A town's population is 14,000, and it is INCREASING by 160 people every year. A nearby town has population of 24,000 and is DECREASING by 200 every year. In about how many years will the populations of the towns be equal?

it will take 27.8 years for the populations of the towns to be equal.

Step-by-step explanation:

Let x represent the number of years it will take for the populations of the towns to be equal.

A town's population is 14,000, and it is INCREASING by 160 people every year. This means that the town's population after x years is

160x + 14000

A nearby town has population of 24,000 and is DECREASING by 200 every year. This means that the town's population after x years is

24000 - 200x

For the population to be the same, the number of years would be

160x + 14000 = 24000 - 200x

160x + 200x = 24000 - 14000

360x = 10000

x = 10000/360

x = 27.8 years

(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

49%

step-by-step explanation:

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