Answer:
The length of the longest side is 13mm
Step-by-step explanation:
Represent the two sides with a and b, where a is the longest


Required
Determine the length of the longest side
Perimeter of a kite is calculated as thus:

Make b the subject in 

Substitute a - 1 for b and 50 for Perimeter in 

Divide through by 2


Add 1 to both sides



Solve for a


<em>Hence, the length of the longest side is 13mm</em>
The completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
<h3>How to factor the polynomial?</h3>
The expression is given as:
2x^2 + 4x + 3xy + 6y
Group the expression into two
[2x^2 + 4x] + [3xy + 6y]
Factor out each group
2x(x + 2) + 3y(x + 2)
Factor out x + 2
(2x + 3y)(x + 2)
Hence, the completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
Read more about factored expression at:
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Answer:
Option C : ASA
Step-by-step explanation:
Side WS Lies between ∠W and ∠S
Side NT lies between ∠N and ∠T
Hence the theorem which supports the congruency of the two triangles
is ASA
Angle - Side - Angle
Answer:
A, 8
Step-by-step explanation:
Use the equation 15+4x=47
Subtract 15 from both sides to get
4x=32
divide to get 8
x=8