i need help very bad

Mathematics
Tutor: None Selected Time limit: 1 Day

how do you find x 

https://static.k12.com/eli/bb/180/-1/0/1_123839_17057/-1/275a82428505fb4f7e86fffcb922d93cb58718a8/media/627a27d708b9c0bcb2f474c62e8252d978f0393c/148009.PDF  number 8

May 8th, 2015

AC = BC  because tangent lines from outside point are always congruent

then,

3x + 2 = x + 12

2x = 10

x = 5


May 8th, 2015

i meant to put 6

May 8th, 2015

Oh, ok. I'll have a look at that one.

May 8th, 2015

Set up system of equations

x + y = 6 and

3x - y = 10 then y = 3x - 10, substitute into first equation

x + (3x - 10) = 6

4x - 10 = 6

4x = 16

x = 4

y = 6 - 4

y = 2

May 8th, 2015

can you help me with number 7 and 9 

May 8th, 2015

Ok, hold on.

May 8th, 2015

7)  Again, set up system of equations

2x = y + 12  then y = 2x - 12

3x = y + 19  then y = 3x - 19

Set them equal to each other

2x - 12 = 3x - 19

x = 7

y = 2(7) - 12

y = 2

May 8th, 2015

9)  x = 1/2(140 + 90)

x = 1/2(230)

x = 115

May 8th, 2015

thank you so much

May 8th, 2015

You're welcome. Good luck.

May 8th, 2015

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