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.
Answer:
D) 672 in³
Step-by-step explanation:
The volume of a rectangular prism is found by the <em>product of its length, width, and height</em>, so the equation is<em> V = l * w * h</em>.
Plug in: <em>V = 12 * 7 * 8</em>
Multiply: V = 672 in³
False, an inscribed angle is not formed by radii.
Given
Endpoints of the diameter (5,2) and (-7,4)
Step One
Find the center
Center = (x2 + x1)/2 , (y2 + y1)/2
x2 = -7; x1 = 5; y2 = 4; y1 = 2
Center = (-7 + 5)/2 ; (4 + 2)/2;
Center = (-1 , 3)
Step Two
Find the radius squared using the distance formula. Use (5,2) as the second point. The other point is the center.
Distance squared = (5 - - 1)^2 + (2 - 3)^2
Distance squared = ( 6)^2 + (-1 )^2
Distance squared = 37
Step Three
State the circle's formula
(x - - 1 )^2 + (y - 3)^2 = 37
(x + 1)^2 + (y - 3)^2 = 37
Answer:
Always multiply or divide the absolute values
Step-by-step explanation:
