If you make a tree diagram and then list all of the possible outcomes for flipping a coin and rolling a 6-sided die, how many possible outcomes are there?
a) 2
b) 6
c) 12
d) 36

The possible outcomes that will be obtained are:

Option: C

C) 12

Step-by-step explanation:

When we flip a coin the outcomes that are obtained are:

{H,T}

Now, the possible outcomes that is obtained on flipping a die after flipping a coin are:

{(H,1),(H,2),(H,3),(H,4),(H,5),(H,6),(T,1),(T,2),(T,3),(T,4),(T,5),(T,6)}

Hence, the total number of possible outcomes that are obtained on flipping a coin and rolling a six-sided die are:

12

Also the tree diagram of these possible outcomes is attached to the answer.

10 miles

step-by-step explanation:

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.