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Vladimir79 [104]
3 years ago
13

∡1 and ∡2 are vertical angles. If m∡1 = 64°, find m∡2

Mathematics
2 answers:
mojhsa [17]3 years ago
8 0

Answer:

64 degrees

Step-by-step explanation:

Vertical angles are equal

icang [17]3 years ago
8 0

Answer:

m∡2 = 64°

Step-by-step explanation:

By definition of vertical angles, the angles opposite of each other are equal each other.

∴ IF ∡1 and ∡2 are vertical angles, AND m∡1 = 64°, THEN m∡2 = 64°. (CPCTC - Definition of Vertical Angles).

~

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Step-by-step explanation:

7 0
3 years ago
A furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week. Each chair produced requir
miskamm [114]

The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:

  • 16 chairs; 24 tables
  • Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552
  • Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608  
  • 15 chairs; 18 tables
  • Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450
  • Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480  
  • 12 chairs; 28 tables
  • Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564
  • Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636  
  • 18 chairs; 20 tables
  • Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516
  • Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544

Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:

  • 15 x 65 + 18 x 90 = X
  • 975 + 1,620 = X
  • 2,595 = X

Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Learn more in brainly.com/question/14728529

8 0
2 years ago
Help plssss no links or files or i will report
ra1l [238]

Answer: 350/12

I think 29 2/12 can be also true because they didn't simplify the 2/12 to 1/6.

Step-by-step explanation:

You'll have to use the basic formula for volume is length × width × height. The sample box has the area of 23 1/3 which is found by length x width. They give you the height 1 1/4. I am assuming you will need to multiply 23 1/3 by 1 1/4. You'll get 350/12.

If it's simplify further it will be 175/6 or 29 1/6 as a mixed fraction.

7 0
3 years ago
Classify 8 and 0.25 rational, integers, or whole number pls
Eddi Din [679]
8 and .25 are rational numbers because integers are negative and whole numbers don't include decimals and rational numbers can include whole number like 8 or 8/1 and .25.
5 0
3 years ago
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