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3 years ago

Can someone help me find x of this triangle

Mathematics

1 answer:

uysha [10]3 years ago

3 0

Answer:

x = 9

Step-by-step explanation:

Sum of a triangle is 180°.

6x + 1 + 6x - 14 + 9x + 4 = 180°

Arrange the like terms together and simply this equation.

6x + 6x + 9x + 1 + 4 - 14 = 180°

21x - 9 = 180°

Shifting '-9' to the other side of the equation gives you '+9'

21x = 180° + 9

21x = 189

Shifting 21 to the other side of the equation (to get x) makes it ÷21 (multiply)

x = 189 ÷ 21

x = 9

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There is 1000cm3 of aluminum available to cast a trophy that will be in the shape of a right square pyramid. Is this enough alum

stealth61 [152]

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Step-by-step explanation:

The given is,

Volume of aluminium available is 1000 cubic centimeters

Shape of trophy is right square pyramid

Trophy has a base edge of 10 cm and slant height of 13 cm

Step:1

Formula for volume of right square pyramid,

$Volume, V = a^{2}\frac{h}{3}$ .....................................(1)

Where, a - Base edge value

h - Height of pyramid

From given,

a = 10 cm

h = 13 cm

Equation (1) becomes,

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$Volume of available aluminium > Volume of right square pyramid$

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So, the given volume of aluminium is enough to make right square pyramid shaped trophy.

Result:

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

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