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Dvinal [7]
3 years ago
12

If B is the midpoint of AC, solve for x, and find the lengths of AB, BC, and AC.

Mathematics
1 answer:
makvit [3.9K]3 years ago
7 0

Answer:

49, 49 , 98

Step-by-step explanation:

AC = AB + BC = 2AB

  • 3x - 31 = 2(x+6)
  • 3x - 31 = 2x + 12
  • 3x - 2x = 12 +31
  • x = 43

AB= BC = x + 6 = 43 + 6 = 49

AC = 2AB = 2* 49 = 98

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Vlada [557]

First, the angles of triangle MNP add up to 180º.  Since angle M is 142º and angle P is 24º, angle N must be (180-24-142)º or 14º.

Now angle N is congruent to angle U.  

      2x - 50 = 14

              2x = 64

                x = 32

Segment NP is congruent to segment US, so 13 = 2x - y AND x=32.

    13 = 62 - y

     y = 49

8 0
1 year ago
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wolverine [178]

Answer:

Step-by-step explanation:

Rectangular prisms have F=6 faces and E=12 edges.

By cutting one corner, we are adding 3 edges.

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3 0
2 years ago
Please answer this question now
Sever21 [200]

Answer:

82 degrees

Step-by-step explanation:

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Measure of arc BCD = 121+43 = 164 degrees.

Measure of angle A = 164/2 = 82 degrees

8 0
3 years ago
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Step-by-step explanation:

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2 over 5 (x − 4) = 2x.
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