Do these pairs of values (xand y) represent two quantities that are proportional?
ху
1
4
2
8
3
12
6 24
O A No, because the yvalues are not increasing at a constant rate.
OB. Yes, because all of the pairs represent the same ratio
O C. No, because only one of the pairs is a simplified ratio.
O D. Yes, because as x increases, y increases.

B. Yes, because all of the pairs represent the same ratio

Step-by-step explanation:

A set of pairs that has equal ratio all through all pairs of values given is considered to be representing two quantities that are in a proportional relationship. And the equal ratio is the constant of proportionality that exists all through the set of pairs.

Let's check if the ratio between y to x of the set of pairs given is the same all through:

(1, 4) => y/x = 4/1 = 4

(2, 8) => y/x = 8/2 = 4

(3, 12) => y/x = 12/3 = 4

(6, 24) => y/x = 24/6 = 4

This, since they represent the same ratio, therefore they represent two quantities that are proportional.

The length of side AB in ΔABC is 5 (B)

Step-by-step explanation:

Use Phytagoras Theorem :

AB² = BC² - AC²

AB² = 13² - 12²

AB² = 169 - 144

AB² = 25

AB = √25

AB = 5

So, the length of side AB in ΔABC is 5 (B)

Hope it helpful and useful :)