womankrush538

02.02.2021 • 

Mathematics

Given: Point C is the midpoint of AB¯¯¯¯¯. AC=7x−10; CB=3x+10

Prove: AC=25

Drag and drop reasons into the boxes to correctly complete the proof.

Statement Reason
Point C is the midpoint of AB¯¯¯¯¯. Given
AC=7x−10; CB=3x+10 Given
AC=CB Definition of midpoint
7x−10=3x+10 Response area
4x−10=10 Response area
4x=20 Addition Property of Equality
x=5 Response area
AC=7(5)−10 Substitution Property of Equality
AC=35−10 Simplify.
AC=25 Simplify.

Ответ:

etuck16

18.03.2022

Mathematics

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See proof below

Step-by-step explanation:

If C is the midpoint of AB, then AC = CB

Given

AC=7x−10;

CB=3x+10

Then 7x - 10= 3x+10

Add 10 to both sides

7x-10+10 = 3x +10+10

7x = 3x + 20

7x - 3x   = 10+10

4x = 20

x = 20/4

x = 5

Get AC

AC = 7x - 10

AC= 7(5) - 10

AC = 35-10

AC = 25 (Proved)

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Ответ:

saguil3388

22.10.2022

Mathematics

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So for this problem we have to create a common denominator by multiplying 3-x to all of the expressions. So we have 2(3-x)/(3-x)-x(3-x)/(3-x)-1/(3-x) and then we simplify to get (x^2-5x+5)/(3-x) so C.

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