Answer:
x = 2.25 or any number greater
Step-by-step explanation:
5x3 > 4 + 8 + x
Make them equal to each other to get x
5x3 = 4 + 8 + x
(5x)(3) = 12 + x
- x - 3 - 3 - x
4x = 9

x = 2.25
Once you get x plug it in to get the truth of the expression
The answer is D, tony would always be behind Robert.
13.1......... I believe this is the correct answer
Answer:
Recall that a relation is an <em>equivalence relation</em> if and only if is symmetric, reflexive and transitive. In order to simplify the notation we will use A↔B when A is in relation with B.
<em>Reflexive: </em>We need to prove that A↔A. Let us write J for the identity matrix and recall that J is invertible. Notice that
. Thus, A↔A.
<em>Symmetric</em>: We need to prove that A↔B implies B↔A. As A↔B there exists an invertible matrix P such that
. In this equality we can perform a right multiplication by
and obtain
. Then, in the obtained equality we perform a left multiplication by P and get
. If we write
and
we have
. Thus, B↔A.
<em>Transitive</em>: We need to prove that A↔B and B↔C implies A↔C. From the fact A↔B we have
and from B↔C we have
. Now, if we substitute the last equality into the first one we get
.
Recall that if P and Q are invertible, then QP is invertible and
. So, if we denote R=QP we obtained that
. Hence, A↔C.
Therefore, the relation is an <em>equivalence relation</em>.
Answer:
In a triangle, sides opposite of congruent angles are congruent.