There are 4 terms in the world of *Mathematical proof*
Lemma, Proposition, Corollary and Theorem.
There is no difference between a lemma,
proposition, theorem, or corollary - they are all claims waiting to be proved. However, we use these terms to suggest different levels of importance and difficulty. A lemma is an easily proved claim which is helpful for proving other propositions and theorems, but is usually not particularly interesting in
its own right. A proposition is a statement which is interesting in its own right, while a theorem is a more important statement than a proposition which says something definitive on the subject, and often takes more effort to prove than a proposition or lemma. A corollary is a quick consequence of a proposition or theorem that was proven recently
Answer:
The length of the sides is <u>7 In</u>.
Step-by-step explanation:
Given:
A cube has a surface area of 294 sq. In.
Now, to find the sides.
Let the side be 
Putting the formula of area to get the length of side:
<em>Dividing both sides by 6 we get:</em>
<em>Using square root on both sides we get:</em>
Side = 7 In.
Therefore, the length of the sides is <u>7 In</u>.
Answer:30km/hr
Step-by-step explanation:
Total distance=294km
Speed=s
Distance=d
Time=t
First drive:
t=5
d=s x t
d=s x 5
d=5s
Second drive:
t=4
Speed is 6km/h greater than the first speed
The new speed= s+6
d=4(s+6)
Total distance=294
5s + 4(s + 6)=294
5s + 4s + 24=294
Collect like terms
5s + 4s=294 - 24
9s=270
Divide both sides by 9
9s/9=270/9
s=30
First speed=30km/hr
I think it’s C
Explanation: the blue yarn is 7 and the red yarn is 10 if you combine both as 7 + 10= 17
Answer:
y = -1
Step-by-step explanation:
(y+1)/(x-8) = (-1+1)/(-2-8)
(y+1)/(x-8) = 0
y+1 =0
y= -1
