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:
x = 1.19258 and x = −4.19258
Step-by-step explanation:
The given equation is :
Keep x terms on the left and move the constant to the right side by adding it on both sides.
Take half of the x term and square it.
then add the result to both sides
So,
x = 1.19258 and x = −4.19258
Hence, this is the required solution.
Answer:
B
Step-by-step explanation:
Multiply through by x+5
2(x + 1) = x + 5 - 1 Combine like terms
2x + 2 = x + 4 Subtract 2 from both sides.
2x = x + 4 - 2
2x = x + 2 Subtract x from both sides.
2x - x = 2 Combine
x = 2
B
Answer:
C. -8/3
Step-by-step explanation:
3t + 4 = -4
3t = -4 - 4
3t = -8
t = -8/3
Answer:
70 degrees
Step-by-step explanation:
total angle in a triangle is 180 degrees
180-40= 140
Angle b and c is total of 140 degrees
they are isosceles so their measurements would be same.
angle b and c is 140÷ 2 = 70
so angle b is 70 degrees
