a. Recall the double angle identities:


Then

Applying the identity again, we have

as required.
b. Using the result from part (a),



(where
is any integer)

Below represents the proof that the quadrilateral QRST is a parallelogram
<h3>How to prove that QRST is a parallelogram?</h3>
The coordinates are given as:
Q = (-1,-1)
R = (2,9)
S = (-4,5)
T = (-7,-5)
Calculate the length of each side using:

So, we have:




The above computations show that opposite sides are equal.
Next, we determine the slope of each side using:

So, we have:




The above computations show that opposite sides are parallel, because they have equal slope
Hence, the quadrilateral QRST is a parallelogram
Read more about parallelograms at:
brainly.com/question/3050890
#SPJ1
Answer:
243 .....................
Answer:
860 beads
Step-by-step explanation:
60 times 77=4620
40 times 113=4520
4620+4520=9140
10000-9140=860