Fast. 30 points.
the average age of five children is 6 years old. each child is a different age and there is a difference of two years in the ages of any two consecutive children. in years, how old is the oldest child?

The age of the oldest child id 7.

Step-by-step explanation:

There are 5 children:

1st Child: 7 Years Old

2nd Child: 6 Years Old

3rd Child: 5 Years Old

4th Child: 4 Years Old

5th Child: 3 Years Old

The ges of any two consecutive children difference is 2 years old: 1st Child and 3rd Child.

Hope this helped! :-)

10

Step-by-step explanation:

Because the ages form an arithmetic progression (an evenly spaced sequence) with an odd number of terms, the median age is the same as the average age. Therefore, the age of the third child is 6, the second child is 8 years old, and the first child is 10 years old.

answer: 298143

step-by-step explanation:

(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