Can somebody help me on 23 and 24, it’s geometry

Mathematics

2 answers:

alexdok [17]3 years ago

8 0

Answer:

23. x = 4; DE = 44

24. x = 25; DS = 28

Step-by-step explanation:

23. Point S is the midpoint of DE, so ...

DS = SE

3x +10 = 6x -2

12 = 3x . . . . . . . . . add 2-3x

4 = x . . . . . . . . . . . divide by 3

Then DS has length ...

DS = 3x +10 = 12 +10 = 22

and DE is twice that length, so ...

DE = 44

24. DS is half the length of DE, so is ...

DS = DE/2 = 56/2

DS = 28

Then x can be found from ...

DS = x +3

28 -3 = x = 25 . . . . . substitute value for DS

_____

Comment on problem 24

Sometimes it is easier to work parts of a problem out of sequence. Here, finding DS first makes finding x easier.

-BARSIC- [3]3 years ago

6 0

Answer:

23) x=4 and DE=44

24) x=25 and DS=28

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