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nadya68 [22]
3 years ago
11

Solve for X and determine the measure of each angle. X (x - 35) X (2x - 75°)

Mathematics
2 answers:
Usimov [2.4K]3 years ago
3 0

it's a quadrilateral

interior angles add up to 360

x + 2x - 75 + x + x - 35 = 360

5x - 110 = 360

5x = 360 + 110

x = 470 ÷ 5

x = 95

and x - 35 = 60

2x - 75

= 190 -75

= 115

Aliun [14]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the given angles and equate to 360

x + x + x - 35 + 2x - 75 = 360, that is

5x - 110 = 360 ( add 110 to both sides )

5x = 470 ( divide both sides by 5 )

x = 94 , then

x - 35 = 94 - 35 = 59

2x - 75 = 2(94) - 75 = 188 - 75 = 113

Thus

The 4 angles are 59°, 94°, 94°, 113°

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16 factory workers made 40 pieces in a certain amount of time.
qwelly [4]

a) The quantities vary directly

b) The constant of variation is 2.5

Step-by-step explanation:

Lets us revise the direct and inverse variation

  • If y varies x directly, then y = kx, that means the ratio between them is constant ( \frac{y}{x}=k ) , they increased together and decreased together, k is the constant of variation
  • If y varies x inversely, then yx = k, that means when x increased y must be decrease ( y=\frac{k}{x} ) k is the constant of variation

∵ 16 factory workers made 40 pieces in a certain amount of time

- If the number of worker increased, then the number of pieces

   increased in the same certain time, if the number of worker

   decreased, then the number of pieces also decrease in the

   same certain time

∴ The the number of workers and the number of pieces produce

   vary directly

∴ Number of pieces produced = k × number of worker

a) The quantities vary directly

∵ The number of worker = 16

∵ The number of pieces produced = 40

- Substitute these values in the equation of variation above

∴ 40 = k × 16

- Divide both sides by 16

∴ k = 2.5

b) The constant of variation is 2.5

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

3 0
3 years ago
The temperature was -4°F this morning. If the temperature dropped 7°F, what is the temperature now?​
DiKsa [7]

Answer:

-11°F

Step-by-step explanation:

The temperature was -4° in the morning. The temperature dropped 7° later.

Subtract 7 from -4.

-4-7=\boxed{-11}

The temperature should be -11°F.

Hope this helps.

6 0
3 years ago
Need some great assistance! Thanks!
Lostsunrise [7]

Answer:

b

Step-by-step explanation:

step by step explanation I'm probly wrong

7 0
3 years ago
For breakfast, Randy had two Egg McMuffins and a hash brown, to taling 750 calories . Jack only had on e Egg McMuffin and a hash
Delvig [45]
Let us assign variables.
Let x = egg mcmuffins
Let y = hash brown

Randy had:
2x + y = 750

Jack had
x + y = 450

Using systems of linear equation, we can get the value for x and y by elimination. Subtract the equations.
2x + y = 750
x + y = 450
--------------
x = 300

Get y
x + y = 450
300 + y = 450
y = 150.

So there are 300 calories for McMuffins and 150 calories for hash brown.
4 0
3 years ago
I need helppppp ughhhhhhh
GarryVolchara [31]
Wrong person I pay someone to do my math for me :)
7 0
3 years ago
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