Given:
Quadrilaterals are given.
a)
Opposite sides are equal.
Length of the diagonals are equal.
Angles on four edges is 90 degree.
b)
All sides are equal.
c)
Length of the diagonals are not equal.
Opposite sides are equal.
d)
All sides are equal.
90 degree form in the intersection of the diagonal.
................................................ok
Answer:




Step-by-step explanation:
Given
The above triangle
First, we calculate the length LM using Pythagoras theorem.



Collect like terms


Take positive square root

Solving (a): Sin L



Simplify

Solving (b): tan N



Simplify

Solving (c): cos L
This calculated as:



Simplify

Solving (d): sin N
This is calculated using:
If 
Then: 
So:


Answer:
I hope this makes sense, sorry for the lack of proofs.
Step-by-step explanation:
It is given that S is the midpoint of line QT. The definition of a midpoint is that it bisects the line it is on. So, line QS and line TS are congruent, or the same.
Now, we also know that line QR and line TU are parallel. Because they are parallel, it means that they form congruent corners with lines QS and TS..I think the proof here is "angles opposite to congruent sides are congruent in a triangle." But I'm not sure if this is right. Anyways, this means angles RQS and UTS are congruent.
There's also some proof that when two lines cross, the opposite angles are congruent. This means that angles TSU and QSR are congruent.
Therefore, by ASA (angle-side-angle) ΔQRS ≅ ΔTUS.
7x^3 is not equivalent to the other varieties of 7x