3) What is the third term of the recursive sequence: a(1) = 3

Mathematics

1 answer:

lisabon 2012 [21]2 years ago

5 0

Answer:a

Step-by-step explanation:I too, the test

I took the test already trust me

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If m<ECD is six less than five times m<BCE. and m<BCD = 162°, find each measure.(Sorry bout using the wrong signs, but

tia_tia [17]

Answer:

m∠BCE = 28° and m∠ECD = 134°

Step-by-step explanation:

* Lets explain how to solve the problem

- The figure has three angles: ∠BCE , ∠ECD , and ∠BCD

- m∠ECD is six less than five times m∠BCE

- That means when we multiply measure of angle BCE by five and

then subtract six from this product the answer will be the measure

of angle ECD

∴ m∠ECD = 5 m∠BCE - 6 ⇒ (1)

∵ m∠BCD = m∠BCE + m∠ECD

∵ m∠BCD = 162°

∴ m∠BCE + m∠ECD = 162 ⇒ (2)

- Substitute equation (1) in equation (2) to replace angle ECD by

angle BCE

∴ m∠BCE + (5 m∠BCE - 6) = 162

- Add the like terms

∴ 6 m∠BCE - 6 = 162

- Add 6 to both sides

∴ 6 m∠BCE = 168

- Divide both sides by 6

∴ m∠BCE = 28°

- Substitute the measure of angle BCE in equation (1) to find the

measure of angle ECD

∵ m∠ECD = 5 m∠BCE - 6

∵ m∠BCE = 28°

∴ m∠ECD = 5(28) - 6 = 140 - 6 = 134°

* m∠BCE = 28° and m∠ECD = 134°

3 0

3 years ago

Read 2 more answers

Using the diagram, what is the intersection of plane ABCD and ? A. Line B. Point C C. Plane EFGH D. Point D

GuDViN [60]

I have attached screenshots for the complete question as well as the diagram associated with it.

Answer:
point C

Explanation:
A plane and a line can either:
1- have no intersection
2- intersect in a point
3- intersect in a line in case the whole line is found in this plane

For the given:
We can see that line CG does not belong to the plane ABCD, however, they both intersect.
This means that the intersection between them is a point.
We can note that the only point common between the line and the plane is point C.
Therefore, plane ABCD intersects line GC at point C

Hope this helps :)