Since that angle is 45 degrees, the white triangle is an isosceles triangle. Therefore, the hight of the big triangle is equal to 12. The are of the shaded triangle is 4x12/2 = 24
The equation of the ellipse ( in the standard form ) :
x² / a² + y²/ b² = 1
a = 6, b = 5 ( from a graph )
Answer: D ) x² / 36 + y² / 25 = 1
Answer:

Step-by-step explanation:
The z-score tells us how many standard deviations a value is away from the mean.
The formula is:

where x is the value,
is the mean, and s is the standard deviation.
We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.

Substitute the values into the formula.

Solve the numerator.

Divide.

The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.
Multiplying by 2, the next one would be 160
Answer: The measure of the supplement is 150 degrees. The other angle is 30 degrees.
Step-by-step explanation:
angle: x/5
x+x/5=180
5x+x/5=180
6x/5=180
x=180(5/6)
x=150
Other angle: 150/5=30
or 180-150=30