ED = x - 5 <em>given</em>
DG = 4x - 38 <em>given</em>
ED = DG <em>definition of midpoint</em>
x - 5 = 4x - 38 <em>substitution</em>
-5 = 3x - 38 <em>subtraction property of equality (subtracted x from both sides)</em>
33 = 3x <em>addition property of equality (added 38 to both sides)</em>
11 = x <em>division property of equality (divided 3 from both sides)</em>
ED = x - 5 → ED = 11 - 5 → ED = 6 <em>substitution</em>
since ED = DG, then DG = 6 <em>transitive property</em>
ED + DG = EG <em>segment addition property</em>
6 + 6 = EG <em>substitution</em>
12 = EG <em>simplified like terms</em>
Answer: 12
Answer:
k = 3.
Step-by-step explanation:
If they are collinear the slope of AB = the slope of BC, so :-
(0- (-2)) / (2 - 0) = (k - 0) / (5 - 2)
2/2 = k/3
1 = k/3
k = 3.
The answer is X= 5. Using the pythagorean theorem, and assuming that "b" is 3, half of 6 because the triangle is isosceles, you can solve the problem.
