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juin [17]
2 years ago
6

Find x and TU Show all the work

Mathematics
1 answer:
Licemer1 [7]2 years ago
5 0

Answer:

x = 10

TU = 24

Step-by-step explanation:

To find the value of x, we use the trapezoid mid-segment theorem

The sum of the lengths of the two parallel sides is equal to twice the length of the mid segment

Mathematically, we have this as;

2(2x+ 4) = 2x-4 + 3x + 2

4x + 8 = 5x - 2

5x -4x = 8 + 2

x = 10

TU = 2x + 4 ; = 2(10) + 4 = 20 + 4 = 24

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