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4vir4ik [10]
3 years ago
12

Complete each congruence by naming the corresponding angle or side.

Mathematics
1 answer:
Lisa [10]3 years ago
4 0

Step-by-step explanation:

angle k equal to angle m ,,,

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Given an arithmetic sequence with a3=5 and a5=19, find the 24th term.
krok68 [10]

The 24th term is 152

Step-by-step explanation:

The formula of the nth term of an arithmetic sequence is:

a_n=a+(n-1)d , where

  • a is the first term
  • d is the common difference between consecutive terms

The third term means n = 3

∵ a_3=a+(3-1)d

∴ a_3=a+2d

∵ a_3 = 5

- Equate the right hand sides of the third term

∴ a + 2d = 5 ⇒ (1)

The fifth term means n = 5

∵ a_5=a+(5-1)d

∴ a_5=a+4d

∵ a_5 = 19

- Equate the right hand sides of the fifth term

∴ a + 4d = 19 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate a

∴ 2d = 14

- Divide both sides by 2

∴ d = 7

- Substitute the value of d in equation (1) to find a

∵ a + 2(7) = 5

∴ a + 14 = 5

- Subtract 14 from both sides

∴ a = -9

The twenty fourth term means n = 24

∵ a = -9 and d = 7

- Substitute the values of a and d in the formula of the nth term

∴ a_24=-9+(24-1)(7)

∴ a_24=-9+(23)(7)

∴ a_24=-9+161

∴ a_24=152

The 24th term is 152

Learn more:

You can learn more about the arithmetic sequence in brainly.com/question/7221312

#LearnwithBrainly

5 0
3 years ago
PLEAAASE HELP ME ON #5 PLEAAASE IM DESPERATE IM RLLY SYRESSSEDDD TAKE 45 PTS
Lina20 [59]
I believe the answer should be x equals 37

4 0
3 years ago
Read 2 more answers
What is 1/4 to a decimal then a percent
enot [183]
1/4 in decimal form is 0.25
1/4 converted into a percent is 25%

Hopefully this helps!! :)
5 0
3 years ago
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The water level of a lake has been increasing each year. The initial water level of the lake was 800 meters, and the water level
ivanzaharov [21]
2x=5x1800+1500(56-7)
7 0
3 years ago
Elvin had $1500 to spend at the school bazaar.he spent $12.75 how much money did he have left.
gogolik [260]

$2.25             ☺️☺️☺️☺️☹️☹️☹️☹️☹️☺️☺️

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