Answer:
#1 x = 31°
#2 x = 125°
Step by Step Explanation:
#1
- By the theorem of intersecting secants outside of the circle, we have:
#2
- By the theorem of intersecting chords, we have:
Answer:
2)The sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.
Step-by-step explanation:
(leg₁)² + (leg₂)² = (hypotenuse)²
Answer: The size of sample is 50
Step-by-step explanation:
Since we have given that
Variance of a sample was reported = 144
Variance of population was reported = 7200
Let the sample size be 'n'.
As we know the formula for "Variance of a sample":
![V(X)=\frac{\sigma^2}{n}\\\\144=\frac{7200}{n}\\\\n=\frac{7200}{144}\\\\n=50](https://tex.z-dn.net/?f=V%28X%29%3D%5Cfrac%7B%5Csigma%5E2%7D%7Bn%7D%5C%5C%5C%5C144%3D%5Cfrac%7B7200%7D%7Bn%7D%5C%5C%5C%5Cn%3D%5Cfrac%7B7200%7D%7B144%7D%5C%5C%5C%5Cn%3D50)
Hence, the size of sample is 50.
Тhe longest side of the right triangle is the hypotenuse.
The third angle of this triangle is 90 - 60 = 30°
The short leg is the side opposite the 30 degree angle.
In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
If the the hypotenuse = 10 inches then the short leg = 10/2 = 5 inches