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:
x = 142 degrees
Step-by-step explanation:
52 + 90 + x = 180
142 + x = 180
-142 -142
-------------------
x = 38
180 - 38 = 142
Hope this helped.
Answer:
a ratio is a comparison between two numbers.
Step-by-step explanation:
mark me brainliest if this helps :)
Answer:
46 degrees
Step-by-step explanation:
Complimentary angles are angles with a total of 90 degrees. 90-44=46
Answer:
(x + 9)(5x - 1)
Step-by-step explanation:
Given
5x² + 44x - 9
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 9 = - 45 and sum = + 44
The factors are + 45 and - 1
Use these factors to split the x- term
5x² + 45x - x - 9 ( factor the first/second and third/fourth terms )
= 5x(x + 9) - 1(x + 9) ← factor out (x + 9) from each term
= (x + 9)(5x - 1) ← in factored form
