Step-by-step explanation:
In triangle ADE:
sum of all angles is 180.
3x-10+58+42=180
3x+90=180
3x=180-90
3x=90
x=90/3
x=30
As line DA and CB are parallel:
angle D=angle C
angle y=58
In angle BCE, sum of angles is 180.
z+58+42=180
z+100=180
z=180-100
z=80
Answer:
<em>The gold vein is 96 miles away from the farthest gold dust strike.</em>
Step-by-step explanation:
<u>Distance Between two Points in the Plane
</u>
Given two points A(x,y) and B(w,z), the distance between them is:

The prospector positioned the gold vein at (-2,9) and the farthest gold dust strike at (94,9). We are required to calculate the distance between these two points. Use the formula:



The distance is 96 units, but we know each unit on the graph represents 1 mile, thus the gold vein is 96 miles away from the farthest gold dust strike.
Answer:
(b) 0.251
Step-by-step explanation:
1. Standard deviation equation:

Where X is the mean of the data, and N the amount of data. Then, N=5
2. Estimate the Mean:

3. Caclulate Standard deviation:


Answer:
200 tax 33
Step-by-step explanation: