C. A soda manufacturer knows that sales of soda increase during the summer. To make sure that they get a large portion of the
sales, they decide to offer a contest throughout the spring. The
contest is pretty simple: when you open your bottle of soda, if it
says, "You win!" under the cap, you get another bottle of their soda
for free. The chance of winning a free soda is 1 in 12. Lucky Lucy
bought five sodas and won a free one with four of the caps. What's
the probability of that happening? Theoretically, how many sodas
would you have to buy before having a greater than 50% chance of winning a free soda?

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

i did it myself and i got 4.2 (b) hope its right

step-by-step explanation: