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 :c
I think sorry if it’s not correct
Answer:
l = √10 ft
Step-by-step explanation:
Using Pythagorean Theorem, a² + b² = c², where,
a = ½(2) = 1 ft
b = 3 ft
c = l
Plug in the values
1² + 3² = l²
1 + 9 = l²
10 = l²
√10 = l
l = √10 ft
Based on the definition of supplementary angles and linear pair, a counterexample to the statement is: option B.
<h3>What are Supplementary Angles?</h3>
If two angles add up to give 180 degrees, they are regarded as supplementary angles.
<h3>What is a Linear Pair?</h3>
A linear pair is two adjacent angles that share a common side on a straight line, and have a sum of 180 degrees. Linear pair angles are supplementary angles.
In the image given, figure D is a perfect example of a linear pair that are supplementary.
However, in figure B, we have two angles that are not adjacent angles on a straight line but are supplementary angles.
Therefore, a counterexample to the statement is: option B.
Learn more about supplementary angles on:
