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4 years ago

Given the following figure. What is the value of x

Mathematics

2 answers:

Nookie1986 [14]4 years ago

3 0

Why?

Because if you draw a line from A to D to make a triangle AED, then triangle all angle add up equal 180.

kenny6666 [7]4 years ago

3 0

Answer: 11

Step-by-step explanation: We have an irregular pentagon

The sum of the interior angles = 540°

84 + 12x + 92 + (9x - 16) + (13x + 6) = 540 simplify

166 + 34x = 540 subtract 166 from both sides

34x = 374 divide both sides by 34

x = 11

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Solve 7/2x + 7/9x= -17 + 25/6<br><br> X=

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Step-by-step explanation:

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3 years ago

How to write the ratio 8:30 as a fraction in simplest form

omeli [17]

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3 years ago

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3 years ago

The general equation of the plane that contains the points (1, 0, 2), (−1, 1, −2), and the origin is of the form ax + by + cz =

ICE Princess25 [194]

Answer:

2x-z=0 is the equation of the plane.

Step-by-step explanation:

Given that the plane passes through the points (1,0,2) and (-1,1,-2)

and also origin.

Hence equation of the plane passing through three points we can use

Any plane passing through 3 given points is given as

$\left[\begin{array}{ccc}x-x_1&y-y_1&z-z_1\\x_2-x_1&y_2-y_1&z_2-z_1\\x_3-x_1&y_3-y_1&z_3-z_1\end{array}\right] =0$

Substitute the three points to get

$\left[\begin{array}{ccc}x-1&y&z-2\\-1-1&1&-2-2\\0-1&0&0-2\end{array}\right] \\=0\\(x-1)(-2) -y(4-4)+(z-2)(1) =0\\-2x+z=0\\2x-z-=0$

2x-z=0 is the equation of the plane.

4 0

4 years ago

A linear function contains the following points. What are the slope and y-intercept of this function?

Scrat [10]

Answer:

slope: -1

y-intercept: 6

Step-by-step explanation:

y-intercept is when x is 0 so it's 8 and the slope can be found using the slope formula (y2-y1)/(x2-x1)

(6-8)/(0 - (-2)) = -2/2 = -1

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2 years ago