Answer:
Step-by-step explanation:
Given
Required
Determine CD
Since, C is a point on BD, the relationship between the given parameters is;
Substitute the values of BD, BC and CD
Collect Like Terms
Divide both sides by -4
To determine the length of CD;
Substitute 3 for x in
Hence;
In the second equation:
Subtract 8x from both sides.
2z = 22 - 8x
Divide 2 on both sides.
z = 11 - 4x
Plug this into the first equation.
-66 - 2(11 - 4x) = -196
-66 - 22 + 8x = -196
Combine like terms.
-88 + 8x = -196
Add 88 to both sides.
8x = -108
Divide 8 on both sides.
x = -13.5
Put this into the second equation.
8(-13.5) + 2z = 22
-108 + 2z = 22
Add 108 to both sides.
2z = 130
Divide 2 on both sides.
z = 65
and
x = -13.5
Hope this helps!
The answer is A because Alon could have rotated the figure and discovered that they are congruent
