Aland surveyor places two stakes 500 ft apart. he locates the midpoint between the two stakes and creates a perpendicular to the line that connects these two stakes. he needs to place a third stake 100 ft away along this perpendicular line. to apply the perpendicular bisector theorem, the land surveyor would need to identify

Perpendicular Bisector Theorem

Step-by-step explanation:

A line congruent with the line connecting the two stakes must be made. This line should ideally be perpendicular, which would allow the individual to trace the position of his third stake.

In a triangle, the ratio between two sides is equal to the proportion of the parts in which the third side is divided by the bisector of the opposite inner angle.

In the attached image, it would be necessary to generate the line at point A, to the third point W. In such a way that AHW, is perpendicular to WAM.

RM 687.3

Step-by-step explanation:

Number of members = 257

Each member makes = RM 25

So, total money = 257×25= RM 6425

1- 45 % of 6425 = 45 /100 × 6425=RM 2891.25

So, RM 2891.25  was spent for the year-end banquet. Hence remaining money after this expenditure = 6425-2891.25= RM 3533.75

2- 65 % of this remaining money = 65 /100 × 3533.75= RM 2296.45

So, RM 2296.5 were spent on souvenirs. Hence remaining amount = 3533.75 - 2296.45 =  RM 1237.3

3- Out of this remaining money RM 550 were spent for club jersey booking fees.

So, amount left = 1237.3 - 550 = RM 687.3