3 years ago

Given: line a is parallel to line b.

Mathematics

1 answer:

mina [271]3 years ago

4 0

Answer:

Step-by-step explanation:

To solve this, we need to use the corresponding angles theorem. It states that when a transversal line cuts across 2 parallel lines, then the corresponding angles there-in are congruent or equal.

Now the pair of corresponding angles we have in this question are as follows;

1 and 5

3 and 7

2 and 6

4 and 8

All these pairs are congruent corresponding angles.

Looking at the options, option D is correct

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The recursive rule for a sequence is shown.an=an−1+9a1=21 what is the explicit rule for this sequence?

bixtya [17]

Answer:

Meaning of Explicit rule , is the general rule for a sequence.

The given sequence is defined as,

$a_{n}=a_{n-1}+9a_{1}-21$ ----(1)

Common Difference(d) of an airthmetic Sequence= N th term - (N-1) th term

$=a_{n}-a_{n-1}\\\\=a_{n-1}-a_{n-2}$

Equation 1 can be written as,

$a_{n}-a_{n-1}=9 a_{1}-21\\\\ d =9a_{1}-21$

General rule or explicit rule for this sequence is given as:

$a_{n}=a_{1} +(n-1)d\\\\a_{n}=a_{1}+(n-1)(9a_{1}-21)\\\\a_{n}=a_{1}+9na_{1}-21 n-9a_{1}+21\\\\a_{n}=-8a_{1}+21+n(9a_{1}-21)$

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3 years ago

Determine if the statement is always, sometimes, or never true. Two angles that are vertical are __________ adjacent.

Morgarella [4.7K]

Never true. Vertical angles are equal to each other, not adjacent to each other.

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3 years ago

There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random without replacement.

VikaD [51]

Answer:

A=1000

B=3.33

Step-by-step explanation:

I think?

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2 years ago

A box of pencils costs $3.25 and a box of colored pencils costs $4.65. However, a box of pencils and a box of colored pencils ar

ale4655 [162]

Answer:

the least is 40

Step-by-step explanation:

if u multiply each money amount times the amount they bought you get the awnser

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3 years ago

Can someone please help me solve this? I’d appreciate it :))

GarryVolchara [31]

Idk, I think 8.5 bc 12 is half of 24, and half of 17 is 8.5. I tried lol

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3 years ago