In a flowchart proof, <u>statements</u> and <u>conclusions</u> are connected with arrows.
In terms of mathematics, a statement is simply any sentence in which it can be verifiably true or false. A statement cannot be a subjective opinion. It must be an objective fact and there must not be any ambiguity involved. A conclusion is also a statement that derives from the first statement made.
As an example, you can have the simple argument "if it rains, then it gets wet outside". So the box on the left would be "it rains" and the box on the right would be "it gets wet outside". An arrow connecting the two shows the logical flow of how the argument is set up.
See the diagram below.
Side note: the box on the left is also considered the antecedent because it comes before the conclusion.
Answer:
6/7
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are given the following in the question:
The numbers of teams remaining in each round follows a geometric sequence.
Let a be the first the of the geometric sequence and r be the common ration.
The 
term of geometric sequence is given by:
Dividing the two equations, we get,
the first term can be calculated as:
Thus, the required geometric sequence is
Answer:
8 hours
Step-by-step explanation:
Step one:
Given data
Tom earned $72 walking dogs for 6 hours
amount earned = $72
time taken = 6 hours
Required
The time taken to earn $96
Step two:
let us find the unit rate of his earning
unit rate = 72/6
= 12 per hour
In 1 hour Tom earns $12
in x hours he will earn $96
cross multiply we have
96*1= 12x
divide both sides by 12
x= 96/12
x=8 hours
From the given figure ,
RECA is a quadrilateral
RC divides it into two parts
From the triangles , ∆REC and ∆RAC
RE = RA (Given)
angle CRE = angle CRA (Given)
RC = RC (Common side)
Therefore, ∆REC is Congruent to ∆RAC
∆REC =~ ∆RAC by SAS Property
⇛CE = CA (Congruent parts in a congruent triangles)
Hence , Proved
<em>Additional</em><em> comment</em><em>:</em><em>-</em>
SAS property:-
"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)
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