Question

Solve the equations you wrote in the previous problem to find each of the following measurements:5x-9 M 2x+18 BАY+3N7y-24Сx =AM =AB =y =MN =AC =

Answer 1

AM = 36, AB = 72

MN = 9, AC = 18

Step-by-step explanation:

Solving the equations of the previous problem, we find that x = 9 and y = 6.

Now we put these values in the expressions for the side lengths and find the length measures.

`AM=5x-9`

putting in x = 9 gives

`\begin{gathered} AM=5(9)-9 \\ AM=36 \end{gathered}`

For AB we have

`\begin{gathered} AB=(5x-9)+(2x+18) \\ \end{gathered}`

putting in x = 9 gives

`\begin{gathered} AB=(5(9)-9)+(2(9)+18) \\ AB=72 \end{gathered}`

For MN we have

`MN=y+3`

putting in y = 6 gives

`\begin{gathered} MN=6+3 \\ MN=9 \end{gathered}`

which is our answer!

For AC we have

`AC=7y-24`

putting in y = 6 gives

`\begin{gathered} AC=7\cdot6-24 \\ AC=18 \end{gathered}`

Hence, to summarise

AM = 36, AB = 72

MN = 9, AC = 18