jenna’s method: mia’s method:

5(30 + 4) 5(30 + 4)

(5)(30) + (5)(4) 5(34) = 170

150 + 20 = 170

explain why both jenna and mia arrived at the same answer and the advantage of one method over the other.

Mia's method have one advantage that the steps became less than Jenna's method.          

Step-by-step explanation:

Jenna’s method :

Mia’s method :

To find : Explain why both Jenna and Mia arrived at the same answer and the advantage of one method over the other ?

Solution :

The method of both were different but correct.

One apply distributive property and other apply direct calculation.

So, both Jenna and Mia arrived at the same answer

But Mia's method have one advantage that the steps became less than Jenna's method.

Both methods multiplied 5 and 34, but Jenna’s method used the distributive property to simplify the multiplication so she could do the math mentally. Mia’s method would require more complex multiplication.

Step-by-step

answer: the value of x is 7cm

step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!