Hey there!
The interior angles of a triangle equal 180.
We can use this and the measures of the angles we are given to find the missing interior angle.
50+93=143
180-143=37
Since the missing angle (37) and angle x are supplementary, they add up to 180 as well.
37 + x = 180
180 - 37 = 143
x = 143
Hope this helps!
If the measure of angle θ is 3π/4, the true statements are:
- sin(θ) = √2/2.
- The measure of the reference angle is 45°.
<h3>How to determine the true statements?</h3>
In Trigonometry, an angle with a magnitude of 3π/4 (radians) is equivalent to 135° (degrees) and it's found in the second quarter. Thus, we would calculate the reference angle for θ in second quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 135
Reference angle = 45°.
Also, a terminal point for this angle θ is given by (-√2/2, √2/2) which corresponds to cosine and sine respectively. This ultimately implies that sin(θ) = √2/2.
tan(θ) = cos(θ)/sin(θ)
tan(θ) = [(-√2/2)/(√2/2)]
tan(θ) = -1
In conclusion, we can logically deduce that only options A and B are true statements.
Read more on terminal point here: brainly.com/question/4256586
#SPJ1
Complete Question:
If the measure of angle θ is 3π/4, which statements are true. Select all the correct answers.
A. sin(θ)=sqrt2/2
B. The measure of the reference angle is 45
C. The measure of the reference angle is 30
D. The measure of the reference angle is 60
E. cos(θ)=sqrt2/2
F. tan(θ)=1
Answer:
I think it;s D
Step-by-step explanation:
:)
8x=160
Divide both sides by 8
X= 20. He has to sell 20 games
The additive inverse of a number is the opposite number......for this problem, it is a number, that when added to -4 1/4 = 0.
so the additive inverse of -4 1/4 = 4 1/4
