Like terms:
1.4c, -2c, -7.3c
11.4 has no like terms
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:
Explanation to answers are shown in the attachment
Step-by-step explanation:
This is a long solution but the detailed step by step and appropriate mathematical manipulation has been done as shown in the attachment.
Answer:
x = 27.8, y = 35
Step-by-step explanation:
Angle D is equal to Angle A
Angle E is equal to Angle B
Angle F is equal to Angle C
So you can set those equal to each other:
2y - 5 = 65
2y = 70
y = 35
-------------------------
2x + y = 90.6
2x + 35 = 90.6
2x = 55.6
x = 27.8
Answer:
The largest possible area of the deck is 87.11 m² with dimensions;
Width = 9.33 m
Breadth = 9.33 m
Step-by-step explanation:
The area of a given dimension increases as the dimension covers more equidistant dimension from the center, which gives the quadrilateral with largest dimension being that of a square
Given that the railings will be placed on three sides only and the third side will cornered or left open, such that the given length of railing can be shared into three rather than four to increase the area
The length of the given railing = 28 m
The sides of the formed square area by sharing the railing into three while the fourth side is left open are then equal to 28/3 each
The area of a square of side s = s²
The largest possible area of the deck = (28/3)² = 784/9 = 87.11 m² with dimensions;
Width = 28/3 m = 9.33 m
Breadth = 28/3 m = 9.33 m.
