Question

If anyone is good at geometry, pls help :)

Answer 1

Segment Addition Postulate

BC + AB = CA [BOTH answers]

Application with Midpoint

BC = BA

1a) 9 = x

1b) 34 = FA

1c) 3 = AT

2a) 11 = x

2b) 37 = BO

2c) 37 = OX

2d) 74 = BX

Explanation:

The Segment Addition Postulate is basically saying that if

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point B is in between AC [NOT the midpoint (or halfway)], then both segments [AB and BC] would make up the whole thing [CA, or vice versa]. They are just explaining it in two unique ways you can word it.

The Midpoint Application tells you that if point B is a

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midpoint, meaning B is halfway in between AC, then both segments [AB and BC] are congruent to each other.

1a) 37 = [2x - 15] + [3x + 7]

37 = 5x - 8

+ 8 + 8

____________

45 = 5x

___ ___

5 5

9 = x

1b) Solving for FA

`3(9) + 7 = 27 + 7 = 34`

1c) Solving for AT

`2(9) - 15 = 18 - 15 = 3`

This obviously had to be the answer because 3 + 34 = 37.

2a) 2x +15 = 4x - 7

- 4x - 4x

_________________

-2x + 15 = -7

- 15 -15

_____________

-2x = -22

x = 11

2b) Solving for BO

`4(11) - 7 = 44 - 7 = 37`

2c) Solving for OX

`2(11) + 15 = 22 + 15 = 37`

2d) Solving for BX

`2 * 37 = 74`

I am joyous to assist you anytime.