Given that m<5 = 12x + 4 and m<7 = 10x + 16, what must value of x be in order for line f to be parallel to line g?

David Carney asked Jul 9, 2023

322,681 views

2 votes

David Carney asked Jul 9, 2023

2.4k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

21 votes

We have the following:

We have that angle 5 and angle 7 are equal, therefore we propose the following equality

solving for x

$\begin{gathered} 12x+4=10x+16 \\ 12x-10x=16-4 \\ 2x=12 \\ x=(12)/(2)=6 \end{gathered}$

Therefore, the value of x is 6

Palsch answered Jul 16, 2023

2.4k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers