Answer:
The common ratio is -6
Step-by-step explanation:
The given sequence is
![\frac{1}{18},-\frac{1}{3},2,-12,...](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B18%7D%2C-%5Cfrac%7B1%7D%7B3%7D%2C2%2C-12%2C...)
The common ratio can be found using any two consecutive terms of the geometric sequence.
![r=\frac{-12}{2}=-6](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-12%7D%7B2%7D%3D-6)
The correct answer is the last choice.
Answer:
c or 9
Step-by-step explanation:
First, you have to think of two binomials that when multiplied together yields the polynomial x2 + 4x - 21. Question would be: what are the two number that when multiplied with each other equals -21 and when added together sums up to 4?
That would be +7 and -3. Because 7 × -3 = -21 and 7 + -3 = +4
Thus, the factor would be
(x + 7)(x - 3) = 0
By zero product property,
(x + 7) = 0 and (x-3)=0
x = -7 and x = 3
Notice that even if 7 has a negative sign, when substituted to the polynomial, you take its square so it would still be positive. Thus, the absolute value is taken.
Thus, the possible dimensions of the rectangle are 7 and 3 units.
11/20 of the pie each person
hope this helps!
Option B) Translate triangle ABC so that point C lies on point E to confirm angle C ≈ angle E is the correct option to prove that ∆ABC is similar to ∆ADE by AA similarity.
AA similarity postulates state that the two triangles are similar if the two angles of one triangle are equal to the two angles of the other triangle.
Here we have been given that there are two triangles which are triangle ABC and triangle ADE. And angle A of triangle ABC is equal to the angle A of triangle ADE. For AA similarity we need to prove two angles are equal here we have proved one angle equal. Therefore we need to prove another angle equal.
We can see from the figure that BC||DE and from the adjacent angle property angle C and angle E will be equal
Thus in ∆ABC and ∆ADE
angle A = angle A (common angle)
angle C = angle E (adjacent angle)
Thus by AA similarity ∆ABC is similar to ∆ADE. Hence Option B) is correct.
Learn more about AA similarity here : brainly.com/question/11543627
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