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:
one solution
Step-by-step explanation:
2/3(3y+6)=0
Multiply by 3/2
3/2 *2/3(3y+6)=0*3/2
3y+6 = 0
Subtract 6 from each side
3y = -6
Divide by 3
3y/3 = -6/3
y = -2
There is one solution
Answer:
x = 152 degrees.
Step-by-step explanation:
The way the 2 angles are positioned indicates that they are corresponding angles.
Corresponding angles are equal.
x = 152 degrees.
Make you know what corresponding angles are and when they can be used. Make sure you also know what parallel lines are (2 or more lines whose distance is a constant). Make sure you also know what a transversal is (a line that crosses the parallel lines).
The GDO these 3 countries respectively are $ 16.8 trillion, $ 9.2 trillion and $ 4,9 trillion. so the sum of the GDPGDP total = 16.8 + 9.2 + 4.9= 30.9
hence the percentage of the total output of the 3 largest economies is as follows:percentage = ( total gdp / total output of the world ) x 100
percentage = ( 30.9 / 73 ) x 100percentage = 42.33 %