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S_A_V [24]
3 years ago
14

Ignore the erase marks but i have no clue how to do this. please help asap

Mathematics
1 answer:
madam [21]3 years ago
7 0
Since they're vertical angles, they're equal in degree measure

since they're equal, we can make the two expressions equal to each other

5a - 1 = 2a + 20
add 1 to both sides

5a = 2a + 21
subtract 2a from both sides

3a = 21
divide both sides by 3a

a = 7

now, plug the answer you found for a into one of the two expressions

5a - 1 becomes (5*7) - 1, which equals 34

to double check that they're equivalent (since they're vertical angles)

2a + 20 becomes (2*7) + 20, which equals 34

both angles are 34 degrees!
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Answer:

1) Ordered pairs are (9,5), (11,8) , (13,11), (15,14)

2) Ordered pairs are (20,20) ,(16,17), (12,14), (8,11)

3) Ordered pairs are     (1,40),(3,22), (7,13), (15,7.5)

Step-by-step explanation:

1) Rule 1: Add 2 starting from 9

Rule 2: Add 3 starting from 5

Sequence 1 is generated using Rule 1 so, it starts with 9 and we add 2 to get the next number.

Sequence 2 is generated using Rule 2 so, it starts with 5 and we add 3 to get the next number.

Sequence 1       Sequence 2       Ordered Pair

9                           5                           (9,5)

11                          8                           (11,8)

13                          11                           (13,11)

15                          14                           (15,14)

2) Rule 1: Subtract 4 starting from 20

Rule 2: Subtract 3 starting from 20

Sequence 1 is generated using Rule 1 so, it starts with 20 and we subtract 4 to get the next number.

Sequence 2 is generated using Rule 2 so, it starts with 20 and we subtract 3 to get the next number.

Sequence 1       Sequence 2       Ordered Pair

20                         20                        (20,20)

16                          17                         (16,17)

12                          14                         (12,14)

8                            11                         (8,11)

3) Rule 1: Multiply by 2 then add 1 starting from 1

Rule 2: Divide by 2 then add 4 starting from 40

Sequence 1 is generated using Rule 1 so, it starts with 1 and then we multiply by 2 and then add 2 to get the next number.

Sequence 2 is generated using Rule 2 so, it starts with 40 and then we multiply by 2 and add 2 to get the next number.

Sequence 1       Sequence 2       Ordered Pair

1                           40                            (1,40)

3                           22                          (3,22)

7                           13                            (7,13)

15                          7.5                           (15,7.5)

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