Charlie is x years old. His sister is 4 years younger than charlie. His mother's age is 3 times the quantity of her childrens age. Write an expression to show his mothers age

6x - 12

Step-by-step explanation:

In this question, we area asked to write an expression for a mother’s age given some information about the children’s age. We proceed as follows:

Charlie is x years old and his sister is 4 years younger. His sister’s age would be x -4. The total of both ages would be their addition and that is x + x - 4 = 2x - 4

Now, the mother’s age is 3 times this quantity.

Mathematically, that is 3(2x -4) = 6x -12

The expression of the mother’s age is (6x-12) years

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

throw the computer

step-by-step explanation: