Which pair of numbers have a gcf of 2? choose all answers that are correct. a. 10 and 2 b. 4 and 6 c. 6 and 12 d. 2 and 24

Hey friend!
Let's figure this out!
The correct answers are:

A. 10 and 2
B. 4 and 6
D. 2 and 24

A. 10 and 2
10: 1, (2), 5, 10
2: 1, (2)

B. 4 and 6
4: 1, (2), 4
6: 1, (2), 3, 6

D. 2 and 24
2: 1, (2)
24: 1, (2), 3, 4, 6, 8, 12, 24


As you can see, each has a GCF of 2
Hope this helps!
{Don't forget Brainliest} ;)

A.
GCF(10; 2) = 2  /factors of 10: 1, 2, 5, 10; factors of 2: 1, 2/

B.
GCF(4; 6) = 2  /factors of 4: 1, 2, 4; factors of 6: 1, 2, 3, 6/

C.
GCF(6; 12) = 6  /factors of 6: 1, 2, 3, 6; factors of 12: 1, 2, 3, 4, 6, 12/

D.
GCF(2; 24) = 2   /factors of 2: 1, 2; factors of 24: 1, 2, 3, 4, 6, 8, 12, 24/

A, B and D.

17.7 ft

Step-by-step explanation:

Let x be the shorter leg

Longer: x + 7

Hypotenuse: 2x - 5

(2x - 5)² = (x + 7)² + x²

4x² - 20x + 25 = x² + 14x + 49 + x²

2x² - 34x - 24 = 0

x² - 17x - 12 = 0

x = [17 +- sqrt(17² - 4(1)(-12)]/2

x = [17 + sqrt(337)]/2

x = 17.67877988