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Mandarinka [93]
3 years ago
5

Find the value of a and TV if U is between T and V TU = 3a - 4, UV = 6a + 2, and TV = 5a + 22

Mathematics
1 answer:
vovangra [49]3 years ago
3 0

Answer:

a = 6

TV = 52

Step-by-step explanation:

TU + UV = TV

3a - 4 + 6a + 2 = 5a + 22

Add like terms in RHS

3a + 6a - 4 + 2 = 5a +22

9a - 2 = 5a + 22

Add 2 to both sides

9a  = 5a + 22 + 2

9a = 5a + 24

Subtract 5a from both sides

9a - 5a = 5a + 24 - 5a

       4a = 24

Divide both  sides by 4

4a/4 = 24/4

a = 6

TV = 5a + 22

     = 5*6 + 22

     = 30 + 22

TV = 52

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