Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.




Now, SRT is a straight line.
(Linear pair)


...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get



Therefore, the value of x is 103 degrees.
Answer:
P = $ 144.99
Step-by-step explanation:
Given data:
cost of home entertainment center is $2665
duration of deferred payment plan is 18 month
interest rate is 24.36%
Total amount to be paid is 

A = 3695.88
From the information in the questioon this amount is to be paid in 3 year . Thus we have
Monthly payment is =

p = monthly payment
Pv = present value = 3695.88
r =rate per period 
n = number of period 
plugging all value in the above formula

P = $ 144.99
Answer:
x≤−6
Step-by-step explanation:
Let's solve your inequality step-by-step.
4(x−3)−7x≥6
Step 1: Simplify both sides of the inequality.
−3x−12≥6
Step 2: Add 12 to both sides.
−3x−12+12≥6+12
−3x≥18
Step 3: Divide both sides by -3.
−3x
−3
≥
18
−3
x≤−6
Answer: The answer is 6.28571 . . ..
Step-by-step explanation: We are given ti find the value of twice of pi into the palette.
We are familiar with the irrational number pi. It is defined as the ration of circumference of a circle to the diameter of the circle and its value is 22/7 or 3.14159 . . ..
Therefore, the value of 2 pi can be calculated as follows.

Thus, the value of 2pi is 6.28571 . . ..
Answer:
I would say B because there are 15 1s