Answer:
RS/VU=ST/UT and ∠S≅∠U
Step-by-step explanation:
we know that
The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem the included angle is
∠S≅∠U
therefore
side RS must be proportional to side VU and side ST must be proportional to side UT
so
RS/VU=ST/UT
<em>Verify</em>
substitute the given values
12/6=16/8
2=2 -----> is true
therefore
The two sides are proportional
Answer: ST is equal to 12
Step-by-step explanation:
If RU is equal to 24 as a whole and we are given that RS and TU are equal to 6 then we could set up an equation and solve for ST.
6 + 6 +x = 24 where x is the length of ST
12 + x = 24
-12 -12
x = 12
By factor theorem (v+5) is not a factor of the given polynomial f(v).
What does factor theorem mean?
When thoroughly factoring the polynomials, mathematicians apply the factor theorem. The polynomial's zeros and factors are connected by this theorem.
The factor theorem states that if a is any real number and f(x) is a polynomial of degree n 1 then (x-a) is a factor of f(x) if f(a)=0.
The factor theorem states that
f(x) has a factor (x-k) if and only if f(k) = 0
We are given the following information.
F(v) = v 4 + 16v 3 + 8v 2 - 725
We have to check whether (v+5) is a factor of given polynomial.
( v + 5 ) = ( v - ( - 5 )
f( -5 ) = 
= - 1900
f(-5) ≠ 0
Learn more about factor theorem
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Answer:
-19,-23,-27
Step-by-step explanation:
When looking at the original sequence you can see that it decreases by 4 every number, so just keep subtracting 4 to get the next numbers.