Answer:

Step-by-step explanation:
Let the number be x.
Translating the word problem into an algebraic equation, we have;
Opening the bracket, we have;

Collecting like terms, we have;

The perimeter = 20 and AC = 8
Now as it is not mentioned which sides are equal of the isosceles triangle ABC,
We have two possible situations.
1)
If AC is the base
In that case AB = BC
Now AC = 8, AB = x , BC = x
So x + x + 8 = 20
2x + 8 = 20
2x = 12
x = 6
AB = BC = 6
2)
IF AC is not the base,
Then
AC = BC or AC = AB
So BC = 8 or AB = 8
If AB = AC = 8
Then
BC + 8 + 8 = 20
BC = 4
So there are two possible lengths of BC
Either it is BC = 8 or BC = 6 or BC = 4
The figure is attached for your reference.
Step-by-step explanation:
On a frigid, foggy Christmas Eve in London, a shrewd, mean-spirited cheapskate named Ebenezer Scrooge works meticulously in his counting-house. Outside the office creaks a little sign reading "Scrooge and Marley"--Jacob Marley, Scrooge's business partner, has died seven years previous. Inside the office, Scrooge watches over his clerk, a poor diminutive man named Bob Cratchit. The smoldering ashes in the fireplace provide little heat even for Bob's tiny room. Despite the harsh weather Scrooge refuses to pay for another lump of coal to warm the office.