Which one of the following proportions is true for the segments shown in the figure if lines a, b, and c are parallel to each ot
her?
A.
AB
BD = BF
EF
B.
AB
CE = AC
AE
C.
AC
AE = BD
BF
D.
CE
CA = BD
DC
A.
AB
BD = BF
EF
B.
AB
CE = AC
AE
C.
AC
AE = BD
BF
D.
CE
CA = BD
DC
2 answers:
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To find the length of a line given two points, we are going to use the distance formula, which is defined below:
( and
are the two points)
The points in this problem are (2, 5) and (-1, 5). We can find the distance of DC by substituting these values into the distance formula and simplifying, as shown below:
- Substitute values into formula
- Combine like terms and then simplify
to 0
- Compute
- Compute
The length of DC is 3.
You can factor -80 as
So, we have
The square root of a product is the product of the square roots:
Since and
, we have