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larisa [96]
2 years ago
13

Find x (in degrees) in the following quadrilateral.

Mathematics
1 answer:
Ber [7]2 years ago
5 0

Answer:

x = 110°

Step-by-step explanation:

The sum of the interior angles in a quadrilateral is 360°. This means:

x + x + x - 30 + 1/2x + 5 = 360° - we can simplify this

3 1/2x - 25 = 360° - now add 25 to both sides

3 1/2x = 385 - finally divide both sides by 3 1/2

x = 385 ÷ 3.5 = 110

x = 110°

Hope this helps!

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Suppose that y varies directly with x<br> and y = 10 when x = 20. What is y<br> when x = 15?
tresset_1 [31]

Answer: y = 7.5

Step-by-step explanation:

Suppose that y varies directly with x

That is, y∝x

Convert y∝x to a full equation by introducing a constant k to the right hand side.

Therefore, y = kx

Given that y = 10 and x = 20

Substitute y and x in the equation above. We have;

10 = k(20)

10 = 20k

20k = 10

k = 10/20

k = 0.5

Since k = 0.5, the equation y = kx becomes y = 0.5x

Now, to find y if x = 15, substitute x in equation y = 0.5x

Therefore, y = 0.5(15)

y = 7.5

5 0
3 years ago
Ayo can someone help me with this real quick
solniwko [45]

Answer:

r = 8

Step-by-step explanation:

6r = 95-47

6r = 48

r = 48/6

r = 8

5 0
2 years ago
An architect is designing a sandwich shop, as shown in the
STALIN [3.7K]

The length of both rooms is 10 meters and the width for the kitchen is 5 meters, while the one for the dining room is 9 meters.

<h3>How to find the length of the rooms?</h3>

Both rooms have the same length but different areas and different widths. This common measurement can be found using the GFC or the greatest common factor. To do this, divide each number by 1,2,3, etc., and find the greatest common number (only integers are valid).

  • 50: 50 25 10 5 1
  • 90: 90 45 30 18 15 10 9 6 5 3 2 1

The greatest common number is 10, so 10 meters is the length of the room.

<h3>How to find the width?</h3>

Use the formula

  • A = lenght x width or width = area / lenght

Kitchen.

  • Width: 50 / 10
  • Width: 5 meters

Dining room:

  • Width: 90 / 10
  • Width: 9 meters

Note: In this question the diagram is missing; below, I attach the diagram.

Learn more about greatest common factor in: brainly.com/question/282609

3 0
2 years ago
please let us to do with it and it was the only one that I can get the best way for you and I am a bit more than one person who
Lelechka [254]
Inside, Lighthouse, Overboard (If You Can go Diagonal) Outback, Outdoors
Hope that helps :)
8 0
3 years ago
What is the constant of proportionality in the equation 3y=2x
Inessa05 [86]

Answer:

2/3

Step-by-step explanation:

3y = 2x

Divide each side by 3

3y/3 = 2x/3

y = 2/3 x

The  direct variation relationship is

y = kx

In this case k = 2/3

4 0
3 years ago
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