Answer:
Step-by-step explanation:
The diagonals of a rectangle are equal.
2x + 10 = 56 That minus sign can't be there. Subtract 10 from both sides.
2x = 56 - 10 Combine
2x = 46 Divide by 2
x = 46/2
x = 23
Radius = OC = OD
Solve for x:
10x -16 = 6x+2
4x = 18
x = 9/2 = 4.5
Sub 'x' back into OC
OC = 6(4.5) + 2 = 29
Radius = 29
To find the length of the side opposite the angle while knowing the hypotenuse we can use the sine function:
sin(53) = (side opposite angle of 53 degrees) / hypotenuse
sin(53) = x / 24
x = 24 sin(53)
x = 19.16
Hope that helped
If the lines have the same slope but different y-intercepts, then the lines are parallel.
Hi there!
In order to solve, we'll need to use a proportion: 20/a = 21/20. Then, we'll cross-multiply and solve to find a: 21a = 400 | a = 19.05. Next, to find b, we can just use pythagorean theorem: 20^2 + (400/21)^2 = b^2 | b = 27.62.
We are using geometric mean to solve for a, then using pythagorean theorem to solve for b. If you need more help with geometric mean, or would like a complete explanation, please let me know! I'd be happy to provide you with that information.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
