Alright, so what we can take as a given is that arcDE/2= ∠CDE=2x+20 since the arc corresponding to the angle is 2*the angle. To solve for arcDE, we multiply both sides by 2 to get 2(2x+20)=4x+40=arcDE. Since the arcs in a circle add up to 360 degrees and we only have -20+30x and arcDE, we have -20+40+4x+30x=360 using the associative property. Simplifying, we get 20+34x=340. Subtracting 20 from both sides, we get 340=34x. Next, we can divide both sides by 34 to get 10=x.
Answer:
Step-by-step explanation:
47.1 should be your answer, the formula to finding the circumference of a circle is 2 x pi x r and in this case, r is 7.5 because thats half of 15. So 2 x 3.14 is 6.28 x 7.5 is 47.1
I hope this helps you
5x=20 x=4
10x=10×4=40
The equation of any straight line on a graph is y = mx + c
m = gradient = rise/run = 4/1 = 4
c = where it cuts the y axis = -3
the equation of the line is y = 4x - 3
9514 1404 393
Answer:
y = 5x - 7
Step-by-step explanation:
We can make an equation for the perpendicular line by swapping the x- and y-coefficients, negating one of them. Then we can use that form with the given point to see what the constant is.
10x -2y = ...
Removing a common factor of 2 gives ...
5x -y = 5(2) -(3) = 7 . . . . using (x, y) = (2, 3), we can find the constant
Solving for y, we get ...
5x -7 = y . . . add y-7
y = 5x -7 . . . write in the desired form