Answer:
Scale factor of ΔXYZ to ΔUVW will be 1/5
Step-by-step explanation:
Since all the angles of ΔXYZ and ΔUVW are equal, both the triangles will be similar.
ΔXYZ ~ ΔUVW
Since both the triangles are similar, ratio of the corresponding sides will be in the same ratio.
And the scale factor = 
= 
= 
= 
Therefore, scale factor of ΔXYZ to ΔUVW will be 1/5
Answer: 10
Step-by-step explanation:
The authors of the articles of confederation wanted to preserve the land. They also wanted to create a weak goverment
10 mins = 1 miles
1 hour = 1 x 6 = 6 miles
8 hours = 6 x 8 = 48miles
The jogger could cover 48 miles a day.
3987 ÷ 48 = 83.06 days
It takes 83.06 days to jog the length of this frontier.
83.06 days ÷ 7 = 11.87 weeks = 12 weeks (round to the nearest whole number)
It takes 12 weeks to jog the length of this frontier.
The joint variation that is given in the problem above can be expressed as follows:
w = k/d²
where w is the weight, k is the variation constant, and d is the distance from the center of the earth. Substituting the first scenario to obtain the value of k,
160 = k/(4000)²
k = 2.56 x 10^9
Using this value for the second scenario,
w = (2.56 x 10^9) / (8,000)² = 40 lbs
Thus, the weight of the man, 8000 miles above the center of the earth is 40 lbs.
