Answer:
The coordinates of the point X:
Step-by-step explanation:
Let X be the point.
As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.
Rise = y₂ - y₁
Run = x₂ - x₁
1 : 6 ratio means the point X lies at
Thus,
rise for X 
run for X
Thus, coordinates of X will be:
Therefore, we conclude that:
The coordinates of the point X:
Answer is 22.25, hope this helps!!
Answer:
x = 71°
Step-by-step explanation:
By applying triangle sum theorem in ΔBHD,
m∠DBH + m∠BHD + m∠HDB = 180°
40° + m∠BHD + 31° = 180°
m∠BHD = 180° - 71° = 109°
m∠BHD + m∠DHE = 180° [Linear pair of angles]
109° + x° = 180°
x = 180° - 109°
x = 71°
=πr2h
Area of circle
=πr2
=V/h
=100/30
≈3.33cm
Answer:
-2.26 lb
Step-by-step explanation:
Let the dog's initial weight be d.
Then, one year later, the dog weighs 3.73 lb less, and thus weighed d - 3.73 lb.
During the next year, the dog gained 1.47 lb, so now weighs d - 3.73 + 1.47 lb, or
d - 2.26 lb. This indicates a total weight loss of 2.26 over these two years.
