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denpristay [2]
3 years ago
10

Two opposite rays____form a line. A. Always B. Never C. Sometimes

Mathematics
1 answer:
Sati [7]3 years ago
6 0

A. Always. Good luck!!!!

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Family bought 12 oranges from the market. However, one-fourth of these oranges were rotten. How many oranges were not rotten?
sashaice [31]

Answer:

1/4 of them were rotten

rotten ones = 1/4 × 12 = 3

ones that weren't rotten = 12 - 3 = 9

4 0
3 years ago
Emily is buying a retirement home. The purchase price of the house is $114,500.00. She will put 15% down.
pentagon [3]
Her down payment will be
8 0
3 years ago
Please help..................
oksano4ka [1.4K]

Answer:

128.605m^2

Step-by-step explanation:

because the kite has equal sides you can simply just do 8.5m x 10.2m+8.5m x 4.93m :D

8 0
3 years ago
Which congruence theorem can be used to prove △ABC ≅ △DEF?<br><br> AAS<br> ASA<br> HL<br> SAS
Delicious77 [7]

Answer:

HL

Step-by-step explanation:

Use the HL Congruence Theorem to prove that the triangles are congruent.

8 0
3 years ago
This math my graduation depends on it
In-s [12.5K]

In an arithmetic sequence, consecutive terms have a fixed distance d between them. If a₁ is the first term, then

2nd term = a₂ = a₁ + d

3rd term = a₃ = a₂ + d = a₁ + 2d

4th term = a₄ = a₃ + d = a₁ + 3d

and so on, up to

nth term = a_n = a_{n-1} + d = a_{n-2} + 2d = a_{n-3} + 3d = \cdots = a_1 + (n-1)d

so that every term in the sequence can be expressed in terms of a₁ and d.

6. It's kind of hard to tell, but it looks like you're given a₁₃ = -53 and a₃₅ = -163.

We have

a₁₃ = a₁ + 12d = -53

a₃₅ = a₁ + 34d = -163

Solve for a₁ and d. Eliminating a₁ and solving for d gives

(a₁ + 12d) - (a₁ + 34d) = -53 - (-163)

-22d = 110

d = -5

and solving for a₁, we get

a₁ + 12•(-5) = -53

a₁ - 60 = -53

a₁ = 7

Then the nth term is recursively given by

a_n = a_{n-1}-5

and explicitly by

a_n = 7 + (n-1)(-5) = 12 - 5n

7. We do the same thing here. Use the known terms to find a₁ and d :

a₁₉ = a₁ + 18d = 15

a₃₈ = a₁ + 37d = 72

⇒   (a₁ + 18d) - (a₁ + 37d) = 15 - 72

⇒   -19d = -57

⇒   d = 3

⇒   a₁ + 18•3 = 15

⇒   a₁ = -39

Then the nth term is recursively obtained by

a_n = a_{n-1}+3

and explicitly by

a_n = -39 + (n-1)\cdot3 = 3n-42

8. I won't both reproducing the info I included in my answer to your other question about geometric sequences.

We're given that the 1st term is 3 and the 2nd term is 12, so the ratio is r = 12/3 = 4.

Then the next three terms in the sequence are

192 • 4 = 768

768 • 4 = 3072

3072 • 4 = 12,288

The recursive rule with a₁ = 3 and r = 4 is

a_n = 4a_{n-1}

and the explicit rule would be

a_n = 3\cdot4^{n-1}

7 0
2 years ago
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