Step-by-step explanation:
We have been given that AE=BE and
.
We can see that angle CEA is vertical angle of angle DEB, therefore,
as vertical angles are congruent.
We can see in triangles CEA and DEF that two angles and included sides are congruent.


or
Therefore,
by ASA postulate.
Since corresponding parts of congruent triangles are congruent, therefore CE must be congruent to DE.
A)
The slope-intercept form:

m - slope
b - y-intercept
The formula of a slope:

We have the points (2, 5.1) and (-1, -0.5). Substitute:

Therefore we have:

Put the coordinates of the point (-1, -0.5) ot the equation:

<em>multiply both sides by 2</em>
<em>add
to both sides</em>
<em>divide both sides by 2</em>

Answer: 
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B)
We have the points (-2, 3) and (3, -4).
Calculate the slope:

Therefore we have:

Put the coordinates of the point (-2, 3) to the equation of a line:

<em>subtract
from both sides</em>

Answer: 
Answer:
46
Step-by-step explanation: