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
312 is the LCM for this set
Answer:
in triangle MNO
relationship between perpendicular and hypotenuse is given by sin angle
sin64°=p/h=70/x
x=70/sin64°=77.88foot
length of MN to the nearest tenth of a foot.
=78ft
Answer:
Step-by-step explanation:
We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:
y = 10x
Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:
2(x + y) = xy and we know that y = 10x so
2(x + 10x) = x(10x) and
and
and
x(10x - 22) = 0 so
x = 0 or 10x - 22 = 0 which makes
x equal to 
So x = 2.2 and y = 22.
D=s*t
distaance=speed times time
cd=coyote distance*time=ds*dt
rd=rabbit diatance*time=rs*rt
given
t=6 for all, so dt=rt=6
and ds=43
rs=35
cd=43*6=258miles
rd=35*6=210miles
how much more?
258-210=48
48 more miles
