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UnicornPoopCookies

  • 3 years ago

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

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  1. UnicornPoopCookies
    • 3 years ago
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  2. nincompoop
    • 3 years ago
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    what do you know about trapezoids?

  3. UnicornPoopCookies
    • 3 years ago
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    Well i know it has two pairs of parallel sides.

  4. nincompoop
    • 3 years ago
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    if 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 \[QR=\frac{ 1 }{ 2 }(MP+NO)\]

  5. nincompoop
    • 3 years ago
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    let us try to solve for the x

  6. nincompoop
    • 3 years ago
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    what 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.

  7. nincompoop
    • 3 years ago
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    do you want to do this together or what @UnicornPoopCookies

  8. UnicornPoopCookies
    • 3 years ago
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    I got 12?

  9. nincompoop
    • 3 years ago
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    show your solution

  10. nincompoop
    • 3 years ago
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    hello @unicornpoopcookies the answer IS NOT 12 show how you got 12

  11. nincompoop
    • 3 years ago
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    QR = 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

  12. UnicornPoopCookies
    • 3 years ago
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    Yeah i figured it out ether way thank you i just had to look over my notes i was way off.

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