anonymous
  • anonymous
Quadrilateral ABCD is an isosceles trapezoid with AD parallel to CD. If AB= w+14 BC=2w+7. CD=4w+2. and AD= 3w-5. solve for w. (attachment below) A. 4 B. 12 C. 17 D. 31
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
mathstudent55
  • mathstudent55
From the figure, it seems that the parallel sides are AB and CD. You wrote the parallel sides are AD and CD?
anonymous
  • anonymous
omg you're right I did

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campbell_st
  • campbell_st
and to be able to solve for w, you may have been given a perimeter..?
anonymous
  • anonymous
I'll fix it, thank you
mathstudent55
  • mathstudent55
|dw:1438562807749:dw|
anonymous
  • anonymous
No they didn't give me a perimeter either
mathstudent55
  • mathstudent55
An isosceles trapezoid has congruent legs (the non-parallel sides).
campbell_st
  • campbell_st
unless you use the idea that AD = BC so 3w - 5 = 2w + 7
mathstudent55
  • mathstudent55
|dw:1438562888396:dw|
mathstudent55
  • mathstudent55
We don't know anything about the lengths of sides AB and CD. We only know they are parallel. We do know sides AD and BC are congruent, so we can set their expressions equal and solve for w.
mathstudent55
  • mathstudent55
3w - 5 = 2w + 7 Can you solve for w?
mathstudent55
  • mathstudent55
Start by subtracting 2w from both sides. Then add 5 to both sides. What do you get for w?
anonymous
  • anonymous
1w= 2 ?
mathstudent55
  • mathstudent55
No. First, subtract 2w from both sides: 3w - 5 = 2w + 7 w - 5 = 7 Now add 5 to both sides: w = 12

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