Conditional statement is a statement with a hypotesis and a conclusion:
or mathematically 
.
Converse statement of is statement 
.
If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse:
.
Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive:
.
Example:
1. Conditional statement: If I am sleeping, then I have closed eyes. (true)
2. Converse statement: If I have closed eyes, then I'm sleeping. (not necessarily true)
3. Inverse statement: If I'm not sleeping, then I haven't closed eyes. (not necessarily true)
4. Contrapositive statement: If I haven't closed eyes, then I'm not sleeping. (true)
Answer: Answer is C, Associative and Distributive
Step-by-step explanation:
On step one to step two it shows that llz is added to 6z (Both have Z) and from step 2 to 3, 5 is distributed (Multiplied) by 17z which equals 85z and also Distributed (Multiplied) by 29 which gives you 145. Which makes final equation... 85z + 145
What question do you need help on?
Answer:
62.4 ft²
Step-by-step explanation:
The unmarked horizontal dimension at the bottom of the triangle is ...
(8 ft)sin(30°) = 4 ft
The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...
(8 ft)cos(30°) ≈ 6.93 ft
Then the area of the trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²
_____
The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.
Sin = Opposite/Hypotenuse ⇒ Hypotenuse×Sin = Opposite
Cos = Adjacent/Hypotenuse ⇒ Hypotenuse×Cos = Adjacent
Answer: Her e-mail password is 
Step-by-step explanation:
You know that a part of Rivka's e-mail password is formed by the last four digits of her telephone number.
The exercise gives you the last four digits of Rivka's telephone number:
Now, in order to find the other numbers, you need to descompose into its prime factors. Then:
Therefore, based on this, you can determine that her e-mail password is:
