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Find the value of x and HI. H and J are the endpoints​

Find the value of x and HI. H and J are the endpoints​-example-1
User Joxixi
by
3.0k points

1 Answer

22 votes
22 votes

Answer:

x = 6

HI = 29

Explanation:

✔️HI = ½(AB) => Triangle Mid-segment Theorem

HI = 5x - 1

AB = 58

Plug in the values and solve for x

5x - 1 = ½(58)

5x - 1 = 29

Add 1 to both sides

5x - 1 + 1 = 29 + 1

5x = 30

Divide both sides by 5

5x/5 = 30/5

x = 6

✔️HI = 5x - 1

Plug in the value of x

HI = 5(6) - 1

HI = 30 - 1

HI = 29

User Daud
by
2.7k points