Rewrite the definition of the term as a biconditional statement. Two angles are verticals angles when their sides form two pairs of opposite rays.

a. If an angle is vertical to the other angle, then the angles do not form pairs of opposite rays.

b. If two angles are vertical, then their sides form two pairs of opposite rays.

c. An angle is vertical to another angle if and only if the angles do not form pairs of opposite rays.

d. Two angles are vertical angles if and only if their sides form two pairs of opposite rays.

  d. Two angles are vertical angles if and only if their sides form two pairs of opposite rays.

Step-by-step explanation:

In the given definition, a biconditional can be created by replacing "when" with "if and only if." Doing that gives you the statement of choice D:

  Two angles are vertical angles if and only if their sides form two pairs of opposite rays.

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.

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%