Mathematics
7 Online
OpenStudy (anonymous):
question is in the attachenment
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OpenStudy (anonymous):
one sec please
OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
angle AGE is a vertical angle to BGD, so what does that mean?
OpenStudy (maheshmeghwal9):
110 degree
OpenStudy (maheshmeghwal9):
according to jim_thompson5910
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jimthompson5910 (jim_thompson5910):
maheshmeghwal9 please don't just give the answer only, explain how you got it
OpenStudy (anonymous):
ty i thought they would both be 80
OpenStudy (anonymous):
hes alright
OpenStudy (anonymous):
ty @jim_thompson5910 and @maheshmeghwal9
OpenStudy (maheshmeghwal9):
it would be 110 since|dw:1337538663221:dw|
angle 1= angle 2.
It means that vertically opposite angles are equal.
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OpenStudy (maheshmeghwal9):
Do u get it now?
OpenStudy (anonymous):
yes so every vertical angle is congruent
OpenStudy (maheshmeghwal9):
ya! always:)
OpenStudy (anonymous):
:) can you check me on one
OpenStudy (maheshmeghwal9):
do u want an ex. or proof?
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OpenStudy (anonymous):
anyone would be fine
OpenStudy (anonymous):
OpenStudy (anonymous):
i got 160
jimthompson5910 (jim_thompson5910):
angles DAB and BAC form a straight angle, which means that they are supplementary angles
jimthompson5910 (jim_thompson5910):
so
m < DAB + m < BAC = 180
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OpenStudy (anonymous):
=180
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
so what does that mean in this case?
OpenStudy (anonymous):
c
OpenStudy (anonymous):
100
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jimthompson5910 (jim_thompson5910):
nailed it
OpenStudy (anonymous):
:)
OpenStudy (anonymous):
hey Jim can you help me with one more
jimthompson5910 (jim_thompson5910):
sure go for it
OpenStudy (anonymous):
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OpenStudy (anonymous):
(2x-6)=(x+12)
jimthompson5910 (jim_thompson5910):
good, you can say this because the bisection cuts the angle into two equal angles
jimthompson5910 (jim_thompson5910):
what do you get when you solve for x?
OpenStudy (anonymous):
square root of 12
jimthompson5910 (jim_thompson5910):
not sure how you got that
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jimthompson5910 (jim_thompson5910):
(2x-6)=(x+12)
is the same as
2x-6 = x+12
OpenStudy (anonymous):
hmm i got thirty
jimthompson5910 (jim_thompson5910):
Let me show you how to find x
2x-6 = x+12
2x-6+6 = x+12+6
2x = x+18
2x-x = x+18-x
x = 18
jimthompson5910 (jim_thompson5910):
Now that we know x, how does this help us find angle BAC?
OpenStudy (anonymous):
yes do we subtract 12
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jimthompson5910 (jim_thompson5910):
are you referring to solving the equation? or finding angle BAC?
OpenStudy (anonymous):
finding bac
jimthompson5910 (jim_thompson5910):
you plug in x = 18 into the expression for BAC
jimthompson5910 (jim_thompson5910):
and evaluate/simplify
OpenStudy (anonymous):
34
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OpenStudy (anonymous):
wait
OpenStudy (anonymous):
i got d
jimthompson5910 (jim_thompson5910):
i don't see the choices, but it's not 34
OpenStudy (anonymous):
here is the choices
OpenStudy (anonymous):
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jimthompson5910 (jim_thompson5910):
how did you get 45?
OpenStudy (anonymous):
i put it in the equation
jimthompson5910 (jim_thompson5910):
You plugged in x = 18 into 2x-6?
So you did
2x-6
2(18) - 6
right?
OpenStudy (anonymous):
okay and i got was 30
jimthompson5910 (jim_thompson5910):
good, that's the correct answer