Explanation:
Only the reasons need be given here, as the statements are already given in your figure.
- Given
- Given
- Given
- Definition of congruent line segments
- Symmetric property of congruence
- Addition and substitution properties of equality*
- Segment addition theorem
- Definition of congruent line segments
- AAS congruence postulate
_____
* The addition property says if A=B, then A+C=B+C. The substitution property further says if C=D, then A+C=B+D (D can be substituted for C). IMO, both properties are needed together to get from A=B and C=D to A+B=C+D.
Given that D is the mid point of CE ,
So D will bisect CE, it means the length of DE and CD is equal.
=> DE + CD = CE
As DE and CD are equal,
=> DE + DE = CE
=> 2 DE = CE
Putting values from the question,
=> 2( 7x - 1 ) = 10x + 18
=> 14x - 2 = 10x + 18
=> 14x - 10x = 18 + 2
=> 4x = 20
=> x = 20 / 4
=> x = 10 / 2
=> x = 5

Therefore, the value of x is 5
Answer:
352$
Step-by-step explanation:
C+3c is 4c and -4+9 is 5 so your answer is 4c+5