Step-by-step explanation:
x+13⁰+10x+13⁰+2x-2⁰= 180⁰
13x= 180-24
13x=156
x = 12⁰
now angle Q = 10x+13⁰
= 10(12)+13= 120+13
= 133⁰
Answer:
192π unit²
Step-by-step explanation:
Given that :
Radius = 24
Area of circle = πr²
Area = π*24²
Area = 576π in²
The Shaded area is 120°
Entire Circumference = 360°
Hence, shaded area = 120°/ 360° = 1/ 3 of the area
1/3 * 576π in²
= 192π unit²
Answer:
5 dollars
Step-by-step explanation:
If the price is 90 % off, we will pay 100 - 90 or 10 %
Take the original price times 10 %
50 * 10 %
50 * .10
5
Answer:
Step-by-step explanation:
If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?
f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15
f(1) = 2 - 15 + 22 + 15
f(1)= 24.
No the result is not zero. So x - 1 is not a factor.
However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.
The numbers that do make this zero are -0.5, 3, 5
Which mean that the factors are (2x+1)(x-3)(x - 5)
Answer:
The point (2,12) is not a solution of the system
see the explanation
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by elimination
Adds equation A and equation B

Find the value of y
substitute the value of x in the equation A

The solution of the system is the point (-2,-8)
The system has only one solution, because the intersection point both lines is only one point
therefore
The point (2,12) is not a solution of the system