In the figure shown e is the midpoint of segment bd and ae = ec . choose the correct statement(s)
1 answer:
Answer:
Triangle ABE and triangle CDE are congruent by using SAS theorem.
Step-by-step explanation:
It is given that e is the midpoint of BD and .
(E is midpoint of BD)
Angle AEB and angle CED are vertical opposite angle and the vertical opposite angles are always same.
(Given)
So by using SAS theorem of congruent triangles.
Therefore triangle ABE and triangle CDE are congruent by using SAS theorem.
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Answer:
y = -x + 9
Step-by-step explanation:
You are given (-5,14), (-2,11), (1,8), and (4,5). Your first objective is to find the slope.
Slope is delta y divided by delta x - the amount of height the graph gains divided by the amount of horizontal length the graph gains. Take any two points and plug it into this: .
i.e. (-2,11) and (4,5): which is
, or -1. Thus, the slope is -1.
We now have y = -1(x) + b, or just y = -x + b.
Next, find the y-intercept. Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0. We now know that the y-intercept is (0,y). To find the y-value, plug one of the coordinate pairs of choice into x and y.
i.e. (-5,14): 14 = (-1)(-5) + b
14 = 5 + b
14 - 5 = 5 + b - 5
9 = b
So, the y-intercept is (0,9).
Finally, the equation is:
y = -x + 9