GIVING MEDALS!!! Isosceles Trapezoid ABCD has diagonals AC=10x+7 and BD = 2x+41. Find The Value Of x. :D
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jigglypuff314 (jigglypuff314):
the diagonals in an Isosceles Trapezoid would be equal
therefore AC = BD
and so solve for x when 10x + 7 = 2x + 41
OpenStudy (anonymous):
4.5?
jigglypuff314 (jigglypuff314):
close, I'm getting 4.25
OpenStudy (anonymous):
No wait.
OpenStudy (anonymous):
Yeah, I got it :D
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OpenStudy (anonymous):
If one base angle of an isosceles triangle measures 42 Degrees, what is the measure of the other base angle? :D
OpenStudy (anonymous):
42? Correct?
jigglypuff314 (jigglypuff314):
Correct! :D
OpenStudy (anonymous):
jigglypuff314 (jigglypuff314):
the parallel line transversal thing (I forgot the name of it)
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OpenStudy (anonymous):
?
jigglypuff314 (jigglypuff314):
because of that rule, you can get that
(5x + 13) + (3x - 5) = 180
OpenStudy (anonymous):
ik xD I got it :P
OpenStudy (anonymous):
21.5?
jigglypuff314 (jigglypuff314):
correct! :)
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OpenStudy (anonymous):
Thank you? Can You Do more?
jigglypuff314 (jigglypuff314):
of course :)
OpenStudy (anonymous):
If the length of one base of a trapezoid is 5, the length of the other base is 2x + 7, and the length of the midsegment is 6x-24, what is the value of x?
jigglypuff314 (jigglypuff314):
the midsegment is the average of the two bases so
\[\frac{ (5) + (2x + 7) }{ 2 } = (6x - 24)\]
OpenStudy (anonymous):
I don't know how to find that :/
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jigglypuff314 (jigglypuff314):
multiply both sides by 2
so (5 + 2x + 7) = 2(6x - 24) then distribute
OpenStudy (anonymous):
@jigglypuff314
OpenStudy (anonymous):
Can you help?
OpenStudy (anonymous):
If the length of one base of a trapezoid is 5, the length of the other base is 2x + 7, and the length of the midsegment is 6x-24, what is the value of x?
jigglypuff314 (jigglypuff314):
I've already gone over the first few parts of it above...
solve for x when 2x + 12 = 12x - 48
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OpenStudy (anonymous):
x=6? @jigglypuff314
jigglypuff314 (jigglypuff314):
sorry it took me so long, I had a class to go to,
x = 6 would be correct :)