1) Definitions:
1.1) Inverse statement: negating the hypothesis and the conclusion of the original statement, i.e.:
conditional statement: p → q
inverse: ~p → ~q (the symbol ~ means the negation)
1.2) Converse statement: switching the hypothesis and the conclusion of the conditional statement, i.e.:
conditional statement: p → q
converse: q → p
2) converse of the given statement
conditional: <span>If a line is vertical, then it has undefined slope.
converse: switch the hypothesis and the conclusion
if a line has undefined slope, then it is vertical <------- answer
</span>3) Inverse of the given statement
conditional: if <span>a line is vertical, then it has undefined slope.
inverse: negate both hypothesis and conclusion.
</span>if a line is not vertical, then it does not have an undefined slope <---answer
Answer:
23.2
Step-by-step explanation:
15.7 - (-7.5) = 15.7 + 7.5 (because if there's 2 negative sign it makes the number positive)
15.7 + 7.5 = 23.2
Answer: Area = 1500 feet^2
Step-by-step explanation:
Jim is enclosing a rectangular garden with 170 feet of fencing. This means the perimeter of the rectangular garden =170 feet
Let length = x
Let width = w
The length of the garden,x is 10 feet more than twice it's width, w. This means
x =10+2w---------1
Perimeter = 2x+2w =170---------2
Putting equation 1 in equation 2,
2(10+2w) +2w= 170
20 + 4w +2w = 170
6w = 170-20=150
w = 150/6
= 25feet
Put w=25 in equation 1
x =10 +2×25= 10+50=60 feet
Area = length × width = x×w
= 60×25=1500feet^2
