Answer:

Step-by-step explanation:
Given



Required
Determine the coordinates of B'
Since A' is the image of A; we need to first calculate the scale factor using

Make Scale Factor the subject

Substitute values for A' and A

Factorize the numerator



The coordinates of B' is then calculated as follows:

Substitute values for B and Scale Factor


Answer:
192 is the missing number in the sequence.
Step-by-step explanation:
Given sequence is 131, 517, ?, 123.
First write the numbers without comma as 131517?123.
Break it in two digit numbers as 13, 15, 17, _ _ 23
Complete the sequence with the missing two digit odd numbers.
13, 15, 17, 19, 21, 23
Now rewrite the sequence without comma again.
131517192123
Place the comma after every three digits.
131, 517, 192, 123
Therefore, the missing number is 192.
Answer:
Length of the tunnel is 51.7 meters
Step-by-step explanation:
We are given that,
The surveyor is located 54 meters from one entrance at an angle of 56°.
The surveyor is located 31 meters from one entrance at an angle of 13°.
Let the length of the tunnel = x meters
So, using the law of cosines, we get,

i.e. 
i.e. 
i.e. 
i.e. x = 51.7 meters
Hence, the length of the tunnel is 51.7 meters