Answer:
There is not enough information to prove the congruence
Step-by-step explanation:
There is not enough information to prove the congruence because we would need to be given at least 3 equal elements (angles and sides) between the triangles. But in this problem we are only given the fact that 2 sides are equal in both triangles, which as I mentioned earlier is not enough.
Answer:there are 900 beds in shelter B
Step-by-step explanation:
Shelter A has a capacity of 300 beds and is 80% occupied. This means that the number of beds in Shelter A that would be
80/100 × 300 = 0.8 × 300 = 240 beds.
Let x represent the capacity of Shelter B. Shelter B is 45% occupied. It means that number of beds in Shelter B that would be occupied is
45/100 × x = 0.45 × x = 0.45x beds.
Total occupancy of shelter A and shelter B would be
240 + 0.45x
The ratio of the occupancy of shelter A to shelter B is 16:27
Total ratio of occupancy = 16 + 27 = 43
Therefore
27/43 × (240 + 0.45x) = 0.45x
27(240 + 0.45x) = 0.45x × 43 = 19.35x
6480 + 12.15x = 19.35x
6480 = 19.35x - 12.15x = 7.2x
x = 6480/7.2 = 900
Answer:
15 feet.
Step-by-step explanation:
We have been given that Nicole measured the shadow of the snow sculptures highest point to be 10 feet long. At the same time of day Nicole's shadow was 40 inches long. Nicole is five feet long.
We will use proportions to solve our given problem as proportions states that two fractions are equal.
Let us convert given measurements from feet to inches.
1 feet = 12 inches.
10 feet = 10*12 inches = 120 inches.
5 feet =5*12 = 60 inches
Let us multiply both sides of our equation by 120.
So the height of the snow sculpture is 180 inches. Let us convert our final answer to feet by dividing 180 by 12.
Therefore, the height of the snow sculpture is 15 feet.
