Answer:
Step-by-step explanation:
Since AC || DE, and ABC forms a triangle, we can deduce that ABC is a smaller triangle inside triangle DBE.
In the second step, we see that ∠CAB in the smaller triangle is congruent to ∠EDB in the larger one, due to the corresponding angles theorem. We also see that ∠ACB in the smaller triangle is congruent to ∠DEB in the larger one, again by the corresponding angles theorem.
This leads to the third step; since we have two of the angles in one triangle congruent to the corresponding angles in the other triangle, this means the third angle will be congruent (since all triangles equal 180°, and the first two angles are equal, the third must be equal as well). Two triangles in which all three angles of one triangle are congruent to the three angles of the other are similar triangles.
Since the triangles are similar, corresponding sides have the same ratio. This means that the ratio of AB to the larger side DB is the same as the ratio of CB to the larger side EB; this gives us
AB/DB = CB/EB.
It would be 2 height above the x axis
it would be y=2
Answer:
The 10th term of the sequence is:
Step-by-step explanation:
Given the number
729, 243, 81, 27...
A geometric sequence has a constant ratio 'r' and is defined by
Computing the ratio of all the adjacent terms
The ratio of all the adjacent terms is the same and equal to
also
Therefore, the nth term is computed by:
Putting n = 10 to find the 10th term
Therefore, the 10th term of the sequence is:
Answer: 4x² -4
Step-by-step explanation:
First, evaluate the exponent you'll get, + 4x² -5 then evaluate to get, 1+ 4x² -5. Next, subtract the numbers, 1 + 4x² -5 then to get, -4 +4x². Lastly, rearrange the terms, -4 +4x² turns into, 4x² -4!
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