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16-02-2022
Mathematics

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find the value of the variable if Y is between X and Z. XY= 3a-2 , YZ= 2a+6 and XZ= 4a+7.

find the value of the variable if Y is between X and Z XY 3a2 YZ 2a6 and XZ 4a7 class=

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claire33p7xpgf claire33p7xpgf

16-02-2022

Answer:a = 6YZ = 38Step-by-step explanation:The segment addition theorem tells you ... XY +YZ = XZ (3a -4) +(6a +2) = (5a +22) 4a = 24 . . . . . . . . add 2-5a and simplify a = 6 . . . . . . . . . . divide by 4Then the length of YZ is ... YZ = 6a+2 = 6(6) +2 YZ = 38

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