Answer: The conditional statements are not in the correct form to make a conclusion using the law of syllogism. “If p, then q and if p, then r” cannot be used to draw a conclusion using the law of syllogism. The law of syllogism could be used if the hypothesis in the second statement was "if two pairs of congruent angles are formed."
Step-by-step explanation:
"If p, then q and if p, then r" cannot be used to draw a conclusion using the law of syllogism.
Neither of the conclusions of the conditional statements are the hypothesis of the other.
"If two pairs of congruent angles are formed" could be the hypothesis of the second statement.
** Both can be used to answer the question :)
<u>Answer:</u>
x = 4 (extraneous solution)
<u>Step-by-step explanation:</u>

This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back
, we will get two fractions with zero denominator which would be undefined.
Answer:
9 cm
Step-by-step explanation:
c^2=81
Take the square root of both sides.
The square root of c^2 is c.
The square root of 81 is 9.
c=9
Answer:

Step-by-step explanation:
The calculation of the value of p minimizes is shown below:-
We will assume the probability of coming heads be p
p(H) = p
p(T) = 1 - P
Now, H and T are only outcomes of flipping a coin
So,
P(TTH) = (1 - P) = (1 - P) (1 - P) P
= (1 + P^2 - 2 P) P
= P^3 - 2P^2 + P
In order to less N,TTH
we need to increase P(TTH)
The equation will be

3P^2 - 4P + 1 = 0
(3P - 1) (P - 1) = 0
P = 1 and 1 ÷ 3
For P(TTH) to be maximum

= 6P - 4
and
(6P - 4) is negative which is for

He will reach the ground after 2.023 seconds.
To start, write a quadratic equation in vertex form with the given information about the vertex.

All that we need to solve for is a. Plug in the point (0, 9) and you will be able to solve for a and write the complete equation.
Now, just use the quadratic formula and you will get 2.023 seconds for when he hits the ground.