Answer: D) 8, 15, 17
<u>Step-by-step explanation:</u>
In order for three side lengths to represent a right triangle, they must satisfy the Pythagorean Theorem: a² + b² = c² where c is the largest side.
A) 2² + 3² = 4²
4 + 9 = 16
13 = 16 FALSE
B) 4² + 5² = 6²
16 + 25 = 36
41 = 36 FALSE
C) 6² + 9² = 12²
36 + 81 = 144
117 = 144 FALSE
D) 8² + 15² = 17²
64 + 225 = 289
289 = 289 TRUE!
The greatest common factor of 18 and 36 is 18.
So, 18 goes into 18 once, and 18 goes into 36 twice.
1/2 is the fraction in simplest form.
One Way:
We can change the mixed number to a decimal for comparing.

m =

m = 1.25 m
1.4 m > 1.25 m
Darren > Luke
Darren's jump was higher by (1.4-1.25)
0.15 m
Or another way change the decimal to a fraction and the mixed to an improper fraction too.

=

(Luke)
1.4 =

(Darren)
We need a common denominator to compare

(Luke)

(Darren)

(Luke)

(Darren)

Darren > Luke
By:

-

=

Which is also by
0.15 m
Darren jumps higher and by 0.15 m
Answer:
The GCF is going to be 30
Step-by-step explanation:
This Is how I find the GCF of 2 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here
The prime factorization of 21, 2 × 3 × 3 × 5= 90
The prime factorization of 28, 2 × 3 × 5 × 7 = 210
The common factors are, 2, 3, and 5. We multiply those to get the GCF.
2 × 3 × 5 = 30