Answer:
Number of children, x= 400
Number of adults, y = 100
Step-by-step explanation:
Let the number of children be x
Let the number of adults be y
Given : Total number of people, x + y = 500 --------(1)
Total amount collected, 5x + 10y = 3000 ---------(2)
(1) => y = 500 - x
Substitute y in (2) : 5x + 10(500 - x) = 3000
5x + 5000 - 10x = 3000
-5x = 3000 - 5000
-5x = -2000
x = 400
Substitute x in (1) : 400 + y = 500
y = 500 - 400
y = 100
Answer:
18.7939 m
Step-by-step explanation:
-Let x be the distance between John and clock tower.
-Let y be the vertical distance from the eyes of the two men standing to the top of the clock tower.
#Taking the right triangle ACD:

#Taking the right triangle ABD:

#We equate the two yo solve for x and y;

Hence, John's distance from the tower's base is 18.7939 m
Answer:
c
Step-by-step explanation:
It is the first option. DF = DE. It is referring to the lengths of each line, DE and DF look like they are the same. It is not a scalene triangle it is a right triangle. EF is way too long to be equal to DE or DF
Answer:
Step-by-step explanation:
α + β = 180°
∠BFE and ∠FBC
∠CEF and ∠BCE