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Kitty [74]
3 years ago
7

Find the value of x that will make A||B Thanks for helping. :)

Mathematics
2 answers:
Allisa [31]3 years ago
7 0

Answer:

x = 20

Step-by-step explanation:

The converse of the same side exterior angles theorem states that <em>when two same side exterior angles are supplementary, the two lines they are on are parallel</em>.

So that means that<em> 5x + 9 and 3x + 11 are supplementary</em>.

Therefore, <em>5x + 9 + 3x + 11 = 180</em>.

Add like terms: 8x + 20 = 180

Subtract: 8x = 160

Divide: x = 20

DedPeter [7]3 years ago
6 0

Answer:

*To be honest, we have a bunch of ways to find x, but I'm only going to use one.

So in order for A║B, we need the outer angle of these two lines but on the opposite sides to be equal, which means:

   5x + 9 = 180 - (3x + 11)

⇔ 5x + 3x = 180 - 9 - 11

⇔ 8x         = 160

⇔ x            = 160/8 = 20

So x is equal to 20.

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Find the surface area of the composite solid.
Dvinal [7]

Answer:

281 ft^2

Step-by-step explanation:

We need to add each individual 2d shape together to find the surface area

Bottom: 5*12 = 60

Left side and right side: 4*5 = 20, 2 sides so 20*2= 40

Side facing us and side facing away from us: 12*4 = 48, 2 sides so 48*2=96

Top side that is cut by base of triangle: 7*5 = 35

Each triangle face: base = 5 (12-7), height = 5             1/2base * height so each triangle is .5*5*5 = 12.5; 4 triangles so 12.5*4=50

60+40+96+35+50=281

4 0
2 years ago
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Simplify square root of 24 times square root of 2x times square root of 3x
sveticcg [70]
\sqrt{24} * \sqrt{2x} * \sqrt{3x} =  \sqrt{2*2*2*3}* \sqrt{2*x} * \sqrt{3*x} =  \sqrt{2*2*2*2*3*3*x*x} = 2*2*3*x = 12x
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3 years ago
83 POINTS FOR WHOEVER ANSWERS THESE QUESTIONS:<br><br> PICTURES
motikmotik

Answer:

y=sqrt((x+a)/-2b))

F=(5/9)C+32

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Step-by-step explanation:

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7 0
3 years ago
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HELPP PLEASE
umka21 [38]

Answer:

27.5 mm

Step-by-step explanation:

The game piece has the shape of two identical square pyramids attached at their bases. Given that the perimeters of the square bases are 80 millimeters, and the slant height of each pyramid is 17 millimeters.

Let the side length of each of the side of the base of the pyramid be b, hence:

perimeter = 4b

80 = 4b

b = 20 mm. half of the side length = b/2 = 20 / 2 = 10 mm

The slant height (l) = 17 mm, Let h be the height of one of the pyramid, hence, using Pythagoras theorem:

(b/2)² + h² = l²

17² = 10² + h²

h² = 17² - 10² = 189

h = √189

h = 13.75 mm

The length of the game piece = 2 * h = 2 * 13.75 = 27.5 mm.

6 0
3 years ago
The moon is about 240000 miles from earth.What is the distance written as a whole number multiplied by a power of ten
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