a) ∠PQR=65° (alternate interior angles theorem)
∠PRQ = 60° (linear pair)
x = 55° (angles in a triangle add to 180°)
b) ∠APQ and ∠PQR are congruent alternate interior angles.
Answer:
C. cot theta
Step-by-step explanation:
(csc theta -cot theta )/(sec theta -1)
csc = 1/ sin
cot = cos / sin
sec = 1 / cos
Let x = theta
(1/ sin x -cos x / sin x )/(1/ cos x -1)
Getting a common denominator in the denominator and combining terms
(1- cos x)/ sinx / ( 1 - cos x) / cos x
(1- cosx) (1- cosx)
----------- ÷ ------------
sinx cos x
Copy dot flip
(1- cosx) cosx
----------- * ------------
sinx 1 -cos x
Cancel like terms
cos x / sin x
cos / sin = cot
cot x
cot theta
Answer:
Step-by-step explanation:
Cost of one ticket = $ 5
Cost of 'n' tickets = 5 * n = 5n
c = 5n
We have been given the function
We have to find the value of f(3). In order to find the same, substitute x=3 in the given function.
Now, we simplify this step by step.
First of all 
. Thus, we have
Now, we can easily simplify it by PEMDAS
Therefore, the value of f(3) is 98.
Dividing by a fraction means the same as multiplying by its reciprocal.
In other words, change the division sign to multiplication
and flip or take the reciprocal of the second fraction.
So we can rewrite 2/13 ÷ 1/6 as 2/13 × 6/1.
Now multiply across the numerators and denominators to get 12/13.
