The wilsons have triplets and another child who is thirteen years old. the sum of the ages of their children is 31. how old are the triplets?

The age of each triplet if 6 years.

Step-by-step explanation:

Let us assume the age of first child in triplet  = m years

Since, the children are triplet, so age of 3 children are SAME.

⇒The age of second child in triplet  = m years

and, The age of third child in triplet  = m years

Also, the  age of fourth children = 13 years

So, sum of age of all four children =

Sum of age of all triplets +  Age of fourth child = m + m + m + 13 = 3 m + 13

Given:  The sum of the ages of their children is 31.

⇒  3 m + 13 =  31

or, 3 m =  31 -1 3 = 18

or, m = 18/3  = 6

or, m = 6 years

Hence the age of each triplet if 6 years.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )