242.975609756 I don't know about the last one though.
First I am going to assume that these are both right triangles based off of look and because it is much easier. Without it you have to use law of sines or law of cosines...
So to find x you must first find y which can be done simply by using the pythagorean theorem. This theorem is defined as the sum of the squared legs is equal to the sum of the hypotenuse or x^2 + y^2 = z^2
If we substitute in the known values 16^2 + y^2 = 20^2 and solve for y we get that y = sqrt(20^2 - 16^2), this then simplifies to y = 12
Finding x is much more annoying, the easiest way I can immediately see is to find the upper angles by doing sin(16/20) and then 90 - sin(16/20) since the complementary angle is the one you want. I don't have a calculator or a trig table with me right now but I will tell you that x will be equal to 12 ÷ the inverse cosine of the angle (90degrees - sin(16/20)).
I am pretty sure the answer is D though because we know for sure y = 12 and x has to be greater than y because the hypotenuse must be larger than both legs. It could be E but you won't know unless you do the math for x. So it is either D or E but I would be surprised if a Professor made you do all of the work just to say it doesn't work...
Answer:
x=15
Step-by-step explanation:
So we know 4x plus 8x gets a total of 180 degrees (since a straight line is 180 degrees). Combine 4x and 8x to get 12x. To find x, divide 12 from 180. 180/12 is 15.
The number you stated can also be written as 27,305.
Answer:
x=60
Step-by-step explanation:
The sum of interior angles of a regular Pentagon is 540°
x+2x+2.5x+x+10+2x+20=540
8.5x=540-30
8.5x=510
x=510/8.5=60
