Answer:
HK = 20
Step-by-step explanation:
LM = (1/2) HK {Mid point theorem}

2*(10x - 90) = 10x - 80
2*10x - 2*90 = 10x - 80
20x - 180 = 10x - 80 {add 180 to both sides}
20x = 10x - 80 + 180
20x = 10x +100 {Subtract 10x from both sides from }
20x -10x = 100
10x = 100
x = 100/10
x = 10
HK = 10x - 80
= 10*10 - 80
= 100 - 80
= 20
Answer:
b=15
How I got it:
32 + (7x4) = 32 + 28 = 60
60 divided by 4 = 15
Checking:
15 - 7 = 8
8 x 4 = 32
32 = 32
<em>You can tell b = 15 is the correct answer.</em>
I am going to assume ‘centimetre’ was a typo.
A^2 + B^2 = C^2
C^2 - A^2 = B^2
32 = B^2
Square root both sides
B = 5.7m high
The ladder will reach 5.7 meters high
N = 273
273 / 7 = 39
Dividend / divisor = quotient
Work Backwards:
n/7 = 39
n = 39 X 7
n = 273