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
The Segment Addition Postulate explains that the length of the whole, LN, is equal to the sum of its parts, LM and MN. By setting up the equation** 5z + 2 = (1/2)z + 2 + 3z + 3/2** and solving for z, we can find the lengths of all the segments. ;
To find z , we set up the equation L M + MN = L N and received the equation 3.5 z + 3.5 = 5 z + 2 . Solving this gives us z = 1 , which we verified by substituting back into the segment equations and confirming the addition is correct.
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Jawaban:17, 20, 22, 25Penjelasan dengan langkah-langkah:pola nya +2, +3, +2, +3