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UnicornPoopCookies
 3 years ago
Given the median and trapezoid MNOP, what is the value of x? (Picture included)
UnicornPoopCookies
 3 years ago
Given the median and trapezoid MNOP, what is the value of x? (Picture included)

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nincompoop
 3 years ago
Best ResponseYou've already chosen the best response.2what do you know about trapezoids?

UnicornPoopCookies
 3 years ago
Best ResponseYou've already chosen the best response.0Well i know it has two pairs of parallel sides.

nincompoop
 3 years ago
Best ResponseYou've already chosen the best response.2if you are able to prove that QM and QN are congruent, and RP and RO are congruent, then you would be able to prove that the figure is trapezoid \[QR=\frac{ 1 }{ 2 }(MP+NO)\]

nincompoop
 3 years ago
Best ResponseYou've already chosen the best response.2let us try to solve for the x

nincompoop
 3 years ago
Best ResponseYou've already chosen the best response.2what should we do to get the value of x? I provided the equation for the medial of trapezoid for you to use to find the value of x. I prefer that you participate in solving and not be a spectator.

nincompoop
 3 years ago
Best ResponseYou've already chosen the best response.2do you want to do this together or what @UnicornPoopCookies

nincompoop
 3 years ago
Best ResponseYou've already chosen the best response.2hello @unicornpoopcookies the answer IS NOT 12 show how you got 12

nincompoop
 3 years ago
Best ResponseYou've already chosen the best response.2QR = 1/2(MP+NO) x+15 = 1/2 [(9x 42) + 30] // perform the operation in the parentheses x+15 = 1/2 (9x 12) //to make our problem easier by multiply both sides by 2. this will cancel out 1/2 and 2 and will give us: 2 (x+15) = 9x  12 // distributive property on left hand side (LHS) of the equation 2x + 30 = 9x  12 // isolate terms, our x, into the LHS by subtracting 9x on both sides of the equation. this will give us 2x 9x + 30 = 9x  9x 12 // perform the operation. 7x + 30 = 12 // continue to isolate our x by subtracting 30 on both sides of the equation. this will give us: 7x + 30  30 = 12  30 // perform the operation 7x = 42 // look for the value of x by dividing both sides of the equation by 7 x = 6

UnicornPoopCookies
 3 years ago
Best ResponseYou've already chosen the best response.0Yeah i figured it out ether way thank you i just had to look over my notes i was way off.
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