Question 23:
x = 4
DE = 44
Question 24:
x = 25
SE = 28
Step-by-step explanation:
As RS is the perpendicular bisector of DE, it will divide DE in two equal parts DS and SE
<u>Question number 23:</u>
Given
DS = 3x+10
SE = 6x-2
As the two segments are equal:

Subtracting 10 from both sides

subtracting 6x from both sides

Dividing both sides by -3

Now

And

<u>Question No 24:</u>
Given
DS = x+3
DE = 56
We know that:

So
DS = 
As DS is 28, SE will also be 28
Hence,
Question 23:
x = 4
DE = 44
Question 24:
x = 25
SE = 28
Keywords: Bisector, Line segment
Learn more about line segments at:
#LearnwithBrainly
You must distribute first, so 3(8p+7r). That will equal 24p +21r. Then you must add all the values together according to like terms, so the variables must match. So simplified it will be 22+24p+30r
y+2=-3x+12
-2 -2
y=-3x+10
This is as far as it can be simplified.
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hope it helps