Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.
1 answer:
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Answer:
x = -14
Step-by-step explanation:
Look at the image attatched. I have labeled the angles for better explanation.
We know that angle 1 is 54 degrees as is rests on a straight line with its adjacent angle at 126 degrees. This means that angle 1 would be 180 - 126 degrees, or 54 degrees. We also know that angle 1 and 3 must be congruent as the sides of the triangle opposite those angles are congruent as well. This means that both those angles are 54 degrees. Since the sum of all angles in a triangle must equal 180 degrees, we can get that angle 4 is 180 - (2*54) degrees, or 72. Since angle two and angle 4 both lie on a straight line, they must add up to 180 degrees. This means that the value of angle 2 would be 180 - 72, or 108 degrees. Since angle 2 is also equal to x+122, we get the equation:
108 = x + 122.
We then solve this by getting:
x = 108 - 122
which gives us the answer of
x = -14
angles formed by these tosses are and
degrees to the nearest hundredth.
<u>Step-by-step explanation:</u>
Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.
The Law of Cosines (also called the Cosine Rule) says:
Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
⇒
⇒
⇒
⇒
⇒
⇒
⇒
The Law of Sines (or Sine Rule) is very useful for solving triangles:
We can now find another angle using the sine rule:
⇒
⇒
⇒
So, the third angle =
Therefore, angles formed by these tosses are and
degrees to the nearest hundredth.
A 1.95 and 7.95