Find the missing terms in each geometric sequence
1 answer:
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Answer:
D
Step-by-step explanation:
Terms are separated by addition and subtraction symbols.
Polynomials consist of terms that are constant and/or variable. The variable terms must have 0 or positive exponents. Polynomials will not consist of division of variable expressions.
Examples of polynomials:
Examples of non-polynomials:
In general a polynomial when written in standard form should be comparable to:
where the 's could be zero and all the exponents,n, are positive or 0.
D is comparable since all of these are 0 except which is 1 and
which is -2.
Also the other choices have either division by variable expressions and/or negative exponents on variables.
Answer:
46
Step-by-step explanation:
∠DAC ≅ ∠ACB because they are opposite interior angles where transversal AC crosses parallel lines BC and AD.
∠DAC ≅ ∠CAB because they are corresponding angles of the similar triangles ΔABC and ΔACD.
Hence ∠ACB ≅ ∠CAB and ΔABC is isosceles with side lengths both being 9. The corresponding side lengths of ΔACD are 12, meaning the base of ΔABC, segment AC, is 12. The scale factor of ΔACD to ΔABC is then 12:9 = 4:3, so the base AD of ΔACD is (4/3)×12 = 16.
So, the side lengths of the trapezoid are ...
- AB = 9
- BC = 9
- CD = 12
- DA = 16
and the perimeter is 9 +9 +12 +16 = 46 units.
