Answer:
see explanation
Step-by-step explanation:
The opposite angles of an inscribed quadrilateral are supplementary, thus
5x + 20 + 7x - 8 = 180
12x + 12 = 180 ( subtract 12 from both sides )
12x = 168 ( divide both sides by 12 )
x = 14
Thus
∠ RQP = 10x = 10(14) = 140°
∠PSR = 180° - 140° = 40° ( opposite angles are supplementary )
∠ SRQ = 7X - 8 = 7(14) - 8 = 98 - 8 = 90°
∠ QPS = 5x + 20 = 5(14) + 20 = 70 + 20 = 90°
Answer:
A. has a constant proportion of 1/4.
You forgot to provide the slope but here is how you do this
the slope 5 = (y2 - y) / (x2 - x) but we know that (x2, y2) = (-10, -5)
=> (-5 - y) / (-10 - x) = 5 --- multiply both sides by (-10 - x)
=> (-5 - y) = 5 (-10 - x)
=> (-5 - y) = -50 - (5)x --- add +5 to both sides
=> -y = (-50 + 5) - (5)x --- multiply both sides -1
=> y = 5x + 45 --- this will be your equation.
You can first use the fundamental trigonometric identity:
sin(x) ^2 + cos(x) ^2 = 1
=> cos(x) ^2 = 1 - sin(x) ^2
=> cos(x) ^2 = 1 - (-4/5)^2 = 1 - 16/25 = (25 - 16) / 25 = 9 /25
=> cos (x) = +/ - √ (9/25) = +/- 3/5
Now, analyze the sign.
In the fhird quadrant the cosine is negative, so the answer is cos(x) = - 3/5.
Answer: option C. - 3/5
Answer:
5500 meters
Step-by-step explanation:
Meters = m
Kilometres = km
We use the general formula,
1 km = 1000 m
Then by using the general formula,
5.5 km = <u> </u><u>?</u><u> </u> m
→ 5.5 km/1 km × 1000 m
→ 5.5 m × 1000 m
→ 5500 m
Hence, the solution is 5500 m.
