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ratelena [41]
4 years ago
14

Point y is between x and z on xz, yz= 3x-10 , xy= 2x-8 xz=17 find all missing length

Mathematics
1 answer:
lions [1.4K]4 years ago
8 0

Answer:

Distance xy is 6

Distance yz is 11

Step-by-step explanation:

Given that the full length between x and z, xz = 17

Point y is located along xz where :

yz = 3x-10

xy = 2x-8

A simple sketch to show the distance and points can be;

x----2x-8---------y------3x-10-----------z

-----------------------17-----------------------

So you can see from this sketch that;

(2x-8) +(3x-10) = 17

2x-8+3x-10=17

5x-18=17

5x=17+18

5x=35

x=35/5 = 7

x=7

Distance xy=2x-8 = 2(7)-8 = 14-8 = 6

Distance yz=3x-10 = 3(7)-10 = 21-10 =11

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