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IceJOKER [234]
3 years ago
6

Angle JKL is 54 degrees. What is the measure of angle MKL? *

Mathematics
1 answer:
hoa [83]3 years ago
6 0

Answer:

MKL = 36°

Step-by-step explanation:

(3x + 6) + (6x + 12) = 54°

3x + 6x + 6 + 12 = 54

9x + 18 = 54

9x = 54 - 18

9x = 36

x = 36/9

x = 4

MKL = 6x + 12

MKL = 6(4) + 12

MKL = 24 + 12

MKL = 36°

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Solve the system.
emmasim [6.3K]

Answer:

x = 2

y = -1

Step-by-step explanation:

2x + y = 3

-2y = 14 - 6x

6x - 2y = 14

2x + y = 3 | ×3 |

6x - 2y = 14 | ×1 |

6x + 3y = 9

6x - 2y = 14

__________--

5y = -5

y = -5/5

y = -1

2x + y = 3

2x + (-1) = 3

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x = 4/2

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4 0
3 years ago
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Stephanie has 4,500 in her savings account. If it earns 6% interest every month how much money does Stephanie have her bank acco
ASHA 777 [7]

Answer:

5,310

Step-by-step explanation:

6% of 4,500 is 270

270×3 is 810

810+4,500=5,310

3 0
3 years ago
When using rational root theorem, which of the following is a possible root of the polynomial function below F(x)=3x^3-x^2+4x+5
sweet-ann [11.9K]

For possible roots I got...

1
1/3
5
5/3

Not really sure about a b c or d.

x = -0.76508126
7 0
4 years ago
Mark: 1.00
Over [174]

Volume of cuboid =l×b×h

area of base of the cuboid =l×b

hence

volume of cuboid is = area of base × height

140=88×h

h=140÷88

h=5

4 0
3 years ago
Write a recursive formula and an explicit formula for the following arithmetic sequence. 14,17,20,23,26
Zarrin [17]

The recursive formula is a_{1} = 14;  a_{n} = a_{n-1} + 3

The explicit formula is a_{n}=3n+11

Step-by-step explanation:

The recursive formula of the nth term of the arithmetic sequence is

a_{1} = first term;  a_{n} = a_{n-1} + d, where

  • a_{1} is the first term in the sequence
  • a_{n} is the nth term in the sequence  
  • a_{n-1} is the term before the nth term  
  • n is the term number
  • d is the common difference.

The explicit formula of the nth term of the arithmetic sequence is

a_{n}=a+(n-1)d , where

  • a_{n} is the nth term in the sequence
  • a is the first term
  • n is the term number
  • d is the common difference

∵ The arithmetic sequence is 14, 17, 20, 23, 26

∴ The first term is 14

∵ 17 - 14 = 3

∴ The common difference is 3

∵ The recursive formula is a_{1} = first term;  a_{n} = a_{n-1} + d

∵ a_{1} = 14

∵ d = 3

∴ a_{1} = 14;  a_{n} = a_{n-1} + 3

The recursive formula is a_{1} = 14;  a_{n} = a_{n-1} + 3

∵ The explicit formula is a_{n}=a+(n-1)d

∵ a = 14

∵ d = 3

∴ a_{n}=14+(n-1)3

- Simplify the right hand side

∴ a_{n}=14+3n-3

- Add like terms

∴ a_{n}=3n+11

The explicit formula is a_{n}=3n+11

Learn more:

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

#LearnwithBrainly

5 0
3 years ago
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