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100 POINTS!!! Please tell me how to do this I dont understand...

100 POINTS Please Tell Me How To Do This I Dont Understand class=

Sagot :

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Answer:

[tex] \displaystyle x = 15[/tex]

Step-by-step explanation:

by triangle midsegment theorem we obtain:

[tex] \displaystyle \frac{10x + 44}{2} = 8x - 23[/tex]

simplify division:

[tex] \displaystyle 5x + 22 = 8x - 23[/tex]

move 5x to right hand side and -23 to the left hand side and change its sign:

[tex] \displaystyle 22 + 23= 8x - 5x[/tex]

simplify addition:

[tex] \displaystyle 8x - 5x = 45[/tex]

collect like terms:

[tex] \displaystyle 3x = 45[/tex]

divide both sides by 3:

[tex] \displaystyle x = 15[/tex]

and we are done!

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