Answer: The value of x =2 units.
Explanation:
Since we have given that
AD= CD
BE= EA
So, we get that D and E are the mid-points of AC and AB respectively.
So, by Mid- point theorem , which states that the line joining the two midpoints is parallel to third side and it is half in length of third side i.e.

So, we put the value of DE and BC ,

Hence, the value of x =2 units.
By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
<h3>How to prove this point lies on the unit circle?</h3>
In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
Read more on unit circle here: brainly.com/question/9797740
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Answer:
See below
Step-by-step explanation:
15)
In the right-angle triangle, once one of the angles is 44º, then, the unknown angle is
.



The angle
of the other triangle plus the angle
of the right-angle triangle is equal to 90º, therefore they are complementary angles.
So,



To find ?, we have



16)
The sum of the internal angles of the triangle with angles 50º and 25º is equal to 180º, therefore, the other angle is

Once the angles are opposite, they are the same. For the triangle with the 36º angle, we have




Answer:
6.4031242374328
Step-by-step explanation:
Distance (d) = √(1 - 6)2 + (8 - 4)2
= √(-5)2 + (4)2
= √41
= 6.4031242374328