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gladu [14]
3 years ago
14

Find the value of x in kite EFGH​

Mathematics
2 answers:
blsea [12.9K]3 years ago
8 0
Answer:

X = 105

Explanation:
kolbaska11 [484]3 years ago
3 0

Answer:

x = 105

Step-by-step explanation:

the sum of all interior angles of any four-sided figure has 360 degrees

∡F and ∡H are equal

add all four expressions and set them equal to 360

x + (x + 5) +( x + 5) + (140 - x) = 360

combine like terms

2x + 150 = 360

2x = 210

x = 105

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Evaluate the surface integral. s x ds, s is the part of the plane 18x + 9y + z = 18 that lies in the first octant.
IceJOKER [234]
In the first octant, the given plane forms a triangle with vertices corresponding to the plane's intercepts along each axis.

(x,0,0)\implies 18x+9\cdot0+0=18\implies x=1
(0,y,0)\implies 18\cdot0+9y+0=18\implies y=2
(0,0,z)\implies 18\cdot0+9\cdot0+z=18\implies z=18

Now that we know the vertices of the surface \mathcal S, we can parameterize it by

\mathbf s(u,v)=\langle(1-u)(1-v),2u(1-v),18v\rangle

where 0\le u\le1 and 0\le v\le1. The surface element is

\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv=2\sqrt{406}(1-v)\,\mathrm du\,\mathrm dv

With respect to our parameterization, we have x(u,v)=(1-u)(1-v), so the surface integral is

\displaystyle\iint_{\mathcal S}x\,\mathrm dS=2\sqrt{406}\int_{u=0}^{u=1}\int_{v=0}^{v=1}(1-u)(1-v)^2\,\mathrm dv\,\mathrm du=\frac{\sqrt{406}}3
5 0
3 years ago
What is the answer plz 2+8-4•7
iris [78.8K]
2+8-4x7
2+8-28
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In january, wally's widget world had sales of $12,500 and expenses of $10,200. the profit for january was _____. 2,300 7,900 10,
kotykmax [81]
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I hope this helps!
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Katarina [22]

Answer:

(-∞, -12), (2, ∞)

or

(-∞, -12) U (2, ∞)

Step-by-step explanation:

|3x + 15| > 21, |3x + 15| < -21

3x + 15 > 21,  3x + 15 < - 21

     -15    -15         -15     -15

------------------   -------------------

3x > 6               3x < - 36

÷3  ÷3               ÷3     ÷3

------------         ------------------

x > 2                  x < -12

(-∞, -12), (2, ∞)

or

(-∞, -12) U (2, ∞)

I hope this helps!

4 0
1 year ago
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makkiz [27]

Answer:

Step-by-step explanation:

First, start off by solving for the slope using this formula:

\frac{y_{2} -y_{1} }{x_{2}-x_{1}  }

Then, plug in the values: \frac{0-(-3)}{7.5-0}

Solve the equation: \frac{3}{7.5}

That's your slope.

Then plug in one of the coordinates given in the problem for x and y and solve this equation:

y=\frac{3}{7.5}x+b

Hope that helped!!! :)

7 0
3 years ago
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