Help? check
Line segment AB intersects line segment ED in the middle at the point C
If DC=6+x and CE=2x+1, what is the lenth of ED?
A. 5
B. 11
C. 22
D. 10
Answer: C
Line segment AB intersects line segment ED in the middle at the point C
If DC=6+x and CE=2x+1, find the value of x
A. 10
B. 5
C. 22
D. 11
Answer: a.
To find the length of ED, we need to add the length of DC and CE.
Given that DC = 6 + x and CE = 2x + 1, we can add them together:
DC + CE = (6 + x) + (2x + 1)
= 6 + x + 2x + 1
= 3x + 7
Now, we need to find the length of ED, which is the sum of DC and CE:
ED = DC + CE
= 3x + 7
To find the value of x, we can set the equation 3x + 7 equal to the length of ED:
3x + 7 = ED
Since we are given that the length of ED is equal to 22 (from the previous answer), we can substitute 22 into the equation:
3x + 7 = 22
Now, we can solve for x:
3x + 7 = 22
3x = 22 - 7
3x = 15
x = 15/3
x = 5
Therefore, the value of x is 5.
To summarize:
- The length of ED is represented by the equation 3x + 7.
- The value of x is found to be 5.
So, the correct answer is B.