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ololo11 [35]
3 years ago
11

The angle of a quadrilateral are A.P and the common difference is 10°. find the angles.

Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0

Step-by-step explanation:

So the Ap will be x,x+10,x+20,x+30

Sum of the angles of a quadrilateral is 360

x+x+10+x+20+x+30=360

4x+60=360

4x=300

x=75

So the angles are 75,85,95,105

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What is 999,999,999,999.99 x 500?
sweet [91]

Answer:

5e+14

Step-by-step explanation:

999,999,999,999.99 x 500=5e+14

hope i helped

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6 0
2 years ago
Read 2 more answers
When temperature is zero degree Celsius, the Fahrenheit temperature is 32. When the Celsius temperature is 100, the correspondin
7nadin3 [17]

Answer:

\\ y = 1.8(x) + 32 or \\ y = \frac{9}{5}(x) + 32

or equivalently:

\\ F = 1.8(C) + 32 or \\ F = \frac{9}{5}(C) + 32

Step-by-step explanation:

To express the Fahrenheit temperature <em>as a linear function of the Celsius temperature</em>, F(c), we can proceed as follows.

We can use here <em>the two-point form</em> <em>equation</em> of a line:

\\ y-y_1 = \frac{y_2 - y_1}{x_2 - x_1}(x-x_1) [1]

We are asked to express the <em>Fahrenheit temperature</em> as a function of <em>Celsius temperature</em>, so the independent variable, in this case, is <em>x</em> (Celsius temperature) and the dependent variable is <em>y</em> (Fahrenheit temperature).

When temperature is zero degree Celsius (\\x_1 = 0), the Fahrenheit temperature is 32 (\\y_1 = 32).

When the Celsius temperature is 100 (\\x_2 = 100), the corresponding Fahrenheit temperature is 212 (\\y_2 = 212).

Then, using [1], we have:

\\ y-32 = \frac{212 - 32}{100 - 0}(x-0)

\\ y-32 = \frac{180}{100}(x)

\\ y-32 = 1.8(x).

It could be also be written as:

\\ y-32 = \frac{18}{10}(x) = \\ y-32 = \frac{9}{5}(x), as it commonly appears in books.

Then <em>the Fahrenheit temperature express as a linear function of the Celsius temperature, F(c</em>) is ( solving the equation for <em>y </em>) :

\\ y = 1.8(x) + 32 or \\ y = \frac{9}{5}(x) + 32.

Or equivalently:

\\ F = 1.8(C) + 32 or \\ F = \frac{9}{5}(C) + 32

We can check this using the given values from the question:

For 0 Celsius degrees, the Fahrenheit temperature is:

\\ y = 1.8(0) + 32 = 32 Fahrenheit degrees.

For 100 Celsius degrees, the Fahrenheit temperature is:

\\ y = 1.8(100) + 32 = 180 + 32 = 212 Fahrenheit degrees.

5 0
3 years ago
2. Gerald was given the following problem to solve for the length of the "?". He has made a mistake in his work.
Degger [83]

Answer:

x = 18.7

Step-by-step explanation:

Gerald's answer is almost correct.  

He just needs to switch the 14 and the x.

it should be

24/x = 18/14

solve for x by cross multiplication

18x = (24)(14)

18x = 336

x = 18.7

5 0
2 years ago
Who answered Stacey's question correctly, Krista or Kevin? Based on the proportional relationship given, how much money will Sta
mariarad [96]

Answer:

Kristina will!

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Both Krista and Kevin found the right answer to Stacey’s question. Stacey will invest $108 in company A if she invests $24 in company B.

7 0
3 years ago
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Tomtit [17]
If you graph this, your first point will be at (0,5), as the ramp is at the warehouse door but 5 feet up. The second point is (10,0) as it is touching the ground but it's 10 feet away from the warehouse.
To find slope, you do (y2-y1)/(x2-x1).
When substituting in the variables, you get (0-5)/(10-0), which is -5/10, which is simplified to -1/2. Of course, that is when the warehouse is Quadrant II. If you look at it from another point of view, the slope will be positive so your answer is A) 1/2.
If this was unclear feel free to comment :)
3 0
2 years ago
Read 2 more answers
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