By inspection, LMNO is similar to PQRS.
For similar figures, corresponding sides are proportional, therefore
LM/PQ=MN/QR
Substituting values
4/2=6/c
Cross-multiply
4c=6*2=12
c=12/4=3
"help..." said the high schooler.
"No," said Life, "figure it out yourself."
Then the rejected high schooler went to watch YouTube to relieve stress, hour and hours passed by until the high schooler realized he was wasting time.
"Oh no!" He said, "I have wasted time again! How will I ever get pass high school?"
"We will help you," said the flash cards, colored pens, and highlighters "we will be your best friend."
After that day, the high schooler never had an all nighter for the rest of high school. (College is a different story)
Moral of the story: Life and cute cat videos will not help you and your homework. Paying attention in class, making flash cards, making your notes colorful with pens and highlighter are what really helps :)
Oh and asking your teacher for help is great too.
(You forgot to attach a picture to your question)
The answer is -6. Thought there is a chance I am wrong. Need an explanation?
The given above is are triangles, as per the proof the line segments on top and bottom part are parallel. Also, it is given that two pairs of the angles of the triangles are congruent.
The triangles also share one common side, CA. Since, this side is between the angles the postulate that will prove the congruence of the triangles is ASA.
The answer to this item is the third choice.
