Answer:
n = 12
Step-by-step explanation:
By applying geometric mean theorem in the given right angle triangle,

BD² = AD × DC
Now substitute the values of each side given,
n² = 6 × 24
n² = 144
n = 12
Answer: -$525
Step-by-step explanation:
7x = how many times he withdrew money * how much money he withdrew.
7 * 75 = $525
Francis ended up removing $525 from his bank account, if we assume that he started off with $0- then the change would be -525 dollars.
Given,
9(x+1) = 25 + x
expanding,
9x + 1 = 25 + x
bringing x to left hand side and taking 1 to right hand side with change in their respective signs,
9x - x = 25-1
=> 8x = 24
transposing 8 ,
=> x = 24/8 = 3
Hence x = 3
Divide 13 into 29:
2.230769230769....
13 ) 29.0000000
26
—-
3 0 this remainder repeats 6 steps further down
2 6
——
40
39
——
100
91
——
90
78
—
120
11 7
—-
30 which will lead to a recurring decimal because we had remainder 3 at the beginning