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2 years ago

Please help! what is the value of x, y, and z?

Mathematics

2 answers:

laila [671]2 years ago

7 0

Answer:

x=55°

y=70°

z=125°

Step-by-step explanation:

125 + x = 180

x = 55°

the 2 sides are equal so z = 125°

y = 180 - 2x

y = 180 - 110

y = 70°

Julli [10]2 years ago

6 0

Answer:

z=125

y=30

Step-by-step explanation:

x and z are the same because of the congruent sides then is triangle sum

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Answer:

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$Width = 10in$

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Step-by-step explanation:

Given

See attachment for sculpture

Solving (a) The dimension and volume of Y

From the attachment

$Height = 18 - 6$

18 in is the height of Z and 6in represents the length (height) of the unoccupied space by Y

So:

$Height = 12in$

$Length = 16 - 10$

16 in is the total length of the sculpture and 10 in represents the length of Z

So:

$Length = 6in$

$Width = 10 - 6$

10 in is the width of Z and 6in represents the length (width) of the unoccupied space by Y

So:

$Width = 4in$

Hence, the dimension of Y is:

$Height = 12in$

$Length = 6in$

$Width = 4in$

Volume is then calculated as:

$Volume = Length * Width * Height$

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As identified in (a), the dimensions of Z are:

$Height = 18in$

$Length =10in$

$Width = 10in$

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$Volume = 1800in^3$

Solving (c): Total volume of the sculpture.

To do this, we simply add up the volumes of Y and Z.

So, we have:

$Total = 288in^3 + 1800in^3$

$Total = 2088in^3$

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