How do you answer LM=1/2z+2 MN=3z+3/2 LN=5z+2 btw this is segment addition

Question

Marley Cooke

Mathematics

25 April, 12:27

How do you answer LM=1/2z+2 MN=3z+3/2 LN=5z+2 btw this is segment addition

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Answers (1)

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Jayden Bryan · Answer 1

LM=1/2z+2 MN=3z+3/2 LN=5z+2

Use LM+MN=LN

(1/2z+2) + (3z+3/2) = 5z+2

3.5z+3.5=5z+2 (combine like terms)

1.5=1.5z (move Zs to right, #s to left)

1=z (divide by 1.5)

To check the answer,

LM=1/2 (1) + 2 MN=3 (1) + 3/2 LN=5 (1) + 2

LM=1/2+2 MN=3 + (3/2) LN=5+2

LM=2.5 MN=4.5 LN=7

2.5+4.5=7, so true