smiller138 smiller138
  • 12-02-2018
  • Mathematics
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What is the value of x?

Enter your answer, as a decimal, in the box.

What is the value of x Enter your answer as a decimal in the box class=
What is the value of x Enter your answer as a decimal in the box class=
What is the value of x Enter your answer as a decimal in the box class=

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sqdancefan
sqdancefan sqdancefan
  • 14-02-2018
1. YT bisects angle T, so
.. VY/VT = KY/KT
.. 34/95.2 = (x -34)/168
.. 168*34/95.2 = x -34
.. 34 +168*34/95.2 = x = 94


2. The triangles are similar so
.. MB/MA = MP/MN
.. x/(71.5 -22) = 97.5/71.5
.. x = (71.5 -22)*(97.5/71.5)
.. x = 67.5


3. As before, the angle bisector creates a proportionality between segments on one side and segments on the other side.
.. (x +1)/58.8 = 35/49
.. x = 58.8*(35/49)) -1
.. x = 41
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