Mathematics
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princeevee:
i need some answers checked 2: Electric boogaloo
7 years ago
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princeevee:
7 years ago
Vocaloid:
good
7 years ago
princeevee:
7 years ago
Vocaloid:
good
7 years ago
princeevee:
7 years ago
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Vocaloid:
if they're both parallel to a third line that means lines1 and 2 must be parallel to each other, so true
7 years ago
princeevee:
7 years ago
Vocaloid:
good
7 years ago
princeevee:
7 years ago
Vocaloid:
good
7 years ago
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princeevee:
7 years ago
princeevee:
7 years ago
Vocaloid:
huh
the postulate normally assumes that you know the lines are parallel
we don't know that yet, so we are stating that
2 is congruent to 6
6 is congruent to 8
therefore 2 is congruent to 8
which should be the transitive property
7 years ago
princeevee:
7 years ago
Vocaloid:
good
7 years ago
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princeevee:
7 years ago
Vocaloid:
good
7 years ago
princeevee:
7 years ago
Vocaloid:
in general consecutive interior angles are not congruent, they'd be supplementary so false
7 years ago
princeevee:
7 years ago
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princeevee:
7 years ago
Vocaloid:
hm, not quite, 6 and 12 are not corresponding angles (they would have to be in the same position and orientation)
notice how 6 and 12 are on the outside side of the parallel lines, making them interior or exterior?
7 years ago
princeevee:
exterior
7 years ago
Vocaloid:
good so B
7 years ago
princeevee:
7 years ago
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Vocaloid:
good
7 years ago
princeevee:
7 years ago
Vocaloid:
hm not quite
CE = ED
5x + 80 = 7x - 2
solve for x, then plug back into AE = 4x + 5
7 years ago
princeevee:
x=41
7 years ago
Vocaloid:
good now plug that into 4x + 5
7 years ago
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princeevee:
7 years ago
Vocaloid:
may I see what the proof is?
7 years ago
princeevee:
7 years ago
Vocaloid:
good
7 years ago
princeevee:
7 years ago
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Vocaloid:
hm not quite
3x - 30 = 90 since its a right angle
solve for x
7 years ago
princeevee:
40
7 years ago
princeevee:
7 years ago
Vocaloid:
|dw:1529873599319:dw|
not quite, they don't have to be perpendicular, the angles just have to add up t o 180
7 years ago
princeevee:
7 years ago
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Vocaloid:
good
7 years ago
princeevee:
7 years ago
Vocaloid:
hm
x = 41 right
so CE = 285
CD = 2*CE = 570
to account for both sides of the rectangle
570 + 570 = 1140
applying this same logic to AE
AE = 169
AB = 2*169 = 338
338 + 338 = 676
so 1140 + 676 = 1816 (A)
7 years ago
Vocaloid:
basically your previous answer only accounted for half the perimeter
7 years ago
princeevee:
7 years ago
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Vocaloid:
good
7 years ago
princeevee:
7 years ago
Vocaloid:
since the end of the fence makes 90 degree angles w/ the sides of the fence by definition the sides of the fence are perpendicular to the end fence
so B can't be the solution (we are looking for a false statement)
any other ideas?
7 years ago
princeevee:
A?
7 years ago
Vocaloid:
if the rows of crops are parallel to the sides
and the sides are perpendicular to the end of the fence
therefore the rows of crops are perpendicular to the end of the fence making A a true statement so it cannot be the solution
7 years ago
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Vocaloid:
let's look at statement C
the original problem never states that rows of crops are parallel to the sides of the fence
making C the solution
7 years ago
princeevee:
7 years ago
Vocaloid:
hm, not quite
AE is 169 but it's asking for CD
we solved that x = 41 right?
so CD = 5x + 80 + 7x - 2 = ?
7 years ago
princeevee:
570
7 years ago
Vocaloid:
good so 570 = your sol'n
7 years ago
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princeevee:
7 years ago
Vocaloid:
|dw:1529876293655:dw|
if its perpendicular to the first line it has to be perpendicular to the second line if the two lines are parallel
so true
7 years ago
princeevee:
7 years ago
Vocaloid:
because <1 and <2 are in the same orientation with respect to the transversal they are ~corresponding angles~
7 years ago
princeevee:
7 years ago
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Vocaloid:
|dw:1529876838710:dw|
not quite
there's only one possible line that can be drawn through P and be perp. to line l
7 years ago
princeevee:
7 years ago
Vocaloid:
for a y-intercept, the x-coordinate must be 0
so it can't be A
7 years ago
princeevee:
7 years ago
Vocaloid:
good
7 years ago
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princeevee:
7 years ago
Vocaloid:
hm not quite
to find the y-intercept, let x = 0 and solve for y in
3x + 4y = 12
7 years ago
princeevee:
4.
7 years ago
Vocaloid:
3(0) + 4y = 12
4y = 12
y = ?
7 years ago
princeevee:
8
7 years ago
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Vocaloid:
4 is being multiplied by y
so you have to divide both sides by 4 not subtract
7 years ago
princeevee:
3.
7 years ago
Vocaloid:
good so 3 = your sol'n
7 years ago
princeevee:
7 years ago
princeevee:
hang on, i actually think this is zero
7 years ago
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Vocaloid:
a horizontal line has slope 0 not undefined
7 years ago
princeevee:
7 years ago
Vocaloid:
good
7 years ago
princeevee:
7 years ago
Vocaloid:
hm not quite
remember that a vertical line only has an x not a y
take the standard form equation
Ax + By = C
and replace y with 0
7 years ago
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princeevee:
7 years ago
Vocaloid:
|dw:1529878258957:dw|
|dw:1529878273213:dw|
try to apply this logic to your problem to calculate the slope m
7 years ago
princeevee:
so just 8/-2
7 years ago
princeevee:
-4
7 years ago
Vocaloid:
careful with your signs
(8-0)/(0 - (-2)) = 8/2 not 8/-2 so 4 not -4
7 years ago
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princeevee:
7 years ago
Vocaloid:
good
7 years ago
princeevee:
7 years ago
Vocaloid:
that's point slope form
standard form should look like Ax + By = C
7 years ago
princeevee:
so D
7 years ago
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Vocaloid:
good
7 years ago
princeevee:
7 years ago
Vocaloid:
not quite
if the equation is y = mx that means it has to pass through the point (0,0)
7 years ago
Vocaloid:
which of the four lines crosses the origin?
7 years ago
Vocaloid:
notice how only b crosses (0,0)
so only line b can be the correct sol'n
7 years ago