Answer:
3rd option: 60 degrees
Step-by-step explanation:
We can see in the diagram that the angle on C is a supplementary angle, which means that the sum of 135 and internal angle will be equal to 180 degrees.
Let x be the internal angle,
Then
x+135 = 180
x = 180-135
x = 45 degrees
So now we know that two interior angles of the triangle.
Also we know that sum of all internal angles of triangle is 180 degrees.
Using the same postulate:
A+B+C = 180
75 + B + 45 = 180
120+B = 180
B = 180 - 120
B = 60 degrees
So,
third option is the correct answer ..
The formula to get the circumference is 2πr, π being pi and r being your radius.
Your r is 0.9 since the radius is half the diameter.
2πr = 2 x 3.142 x 0.9
= 5.6556cm
≈ 5.7cm
Answer:
1). g(-9) = -81.914
2). Last option
Step-by-step explanation:
1). f(x) = x²
For x = -9
f(-9) = (-9)² = 81
g(x) = 
g(-9) = ![\frac{32}{[2(-9)-17]}](https://tex.z-dn.net/?f=%5Cfrac%7B32%7D%7B%5B2%28-9%29-17%5D%7D)
= 
= -
(g - f)(-9) = g(-9) - f(-9)
= 
= 
= 
= -81.914
2). The relation is not a function because this function doesn't passes a vertical line test.
Last option will be the answer.
Pq= 10.5, qr=31.5, rs=10.5, sp=31.5