Answer:
5 different triangles
Step-by-step explanation:
we know that
The number of diagonals of an n-sided polygon is given by the formula :
where
n is the number of sides
In this problem
n=5
substitute
see the attached figure to better understand the problem
The number of different triangles that can be formed by the sides of the polygon and its diagonals is equal to 5
so
Triangles
AEB
EDC
BCD
ACD
EBC
see the attached figure
Answer:
1) x = 15
Step-by-step explanation:
We use the Pythagorean thm for these questions. Where a and b are the legs (So order doesn't matter), and where c is the hypotenuse
1)
a² + b² = c²
9² + 12² = x²
81 + 144 = x²
x² = 225
You square root each side so you can get rid of the exponent on x.
x = 15
Decimal numbers are repeating if the part after the decimal separator never ends, but has a cicle. For example, 14.020202020202.... is a repeating decimal number, because after the decimal separator you can see a pattern: 02 repeated indefinitely.
In your case, the part after the decimal separator is finite: there is no repeating part. Every number with a finite decimal part is rational. In your case, the number 9.373 can be written as the fraction
which proves that the number is rational.