Answer:
Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
Step-by-step explanation:
Let
denote the number of rafts seating 3 people and
the number of rafts seating 5 people. The total number of rafts is 13, so
. We can also assume that every raft is filled to the brim (it isn't stated explicitly though, but it's probably the intention of the question maker), so
.
It's always a good idea to put these equations under each other:

We can subtract the first equation three times from the second one to obtain 
Now, substitute this found value for
into
and we see that
. We are now done: Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
Answer:
x<-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
If it is a Pythagorean Triple the hypotenuse and the legs of a right triangle will all be integer values where
c^2=a^2+b^2
In this case, this isn’t even a right triangle as
20^2+30^2=40^2
400+900=1600
1300!=1600
because 1300 does not equal 1600 this is not a Pythagorean Triple.
If secant of theta =
<span>
<span>
<span>
1.0416666667
</span>
</span>
</span>
then
theta = 16.26 Degrees
cotangent of theta = 3.4286
Answer:
See Below.
Step-by-step explanation:
We are given that ∠1 and ∠7 are supplementary.
And we would like to prove that a is parallel to b.
Statements: Reasons:
Given
Supplementary Angles
Definition of Supplementary
Congruent Supplements Theorem
Corresponding Angles Converse
And we are done!