Answer: The two pairs of same-side interior angles are CHG and HGA and DHG and HGB.
mCHG = 48.81°, and m HGA = 131.19°.
mDHG = 131.19°, and m HGB = 48.81°.
mCHG + mHGA = 180°
mDHG + mHGB = 180°
Each pair of same-side interior angles is supplementary.
Step-by-step explanation:
Answer:
rational
Step-by-step explanation:
B, divide it’s coordinates in half. -5/2 and -1/2.
Answer:
Slope is positive for all x, so always increasing
Step-by-step explanation:
Increasing/decreasing depends on the slope of the function, which is f'
f'(x) = 9x² + 18x + 25
If f'(x) > 0 for all x, then his claim is correct (increasing for all x)
If there's even 1 x-value for which f'(x) is not positive, his claim is incorrect
f'(x) is a quadratic function.
9x² + 18x + 25
9(x² + 2x) + 25
9(x² + 2(x)(1) + 1² - 1²) + 25
9(x + 1)² - 9 + 25
9(x + 1)² + 16
Since the minimum value of f' is 16, it's always positive.
Hence, the claim is correct
Answer:
The central angle is 330 degrees
Step-by-step explanation:
The arc length is equal to the circumference time the fractional part of the circle
arc length = circumference * x/360
11 = 12 * x/360
Divide each side by 12
11/12 = 12/12 *x/360
11/12 = x/360
Multiply by 360
11*360/12 = x /360 *360
330 = x
The central angle is 330 degrees
