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zloy xaker [14]
3 years ago
5

Ok her it is need help

Mathematics
1 answer:
Furkat [3]3 years ago
5 0

Answer:

..........

Step-by-step explanation:

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Answer:

m<C = 42°

Step-by-step explanation:

Given:

m<A = (2x - 2)°

m<C = (4x - 6)°

m<DBC = (5x + 4)°

Thus:

m<DBC = m<A + m<C (exterior angle theorem of a triangle)

(5x + 4)° = (2x - 2)° + (4x - 6)°

Solve for x

5x + 4 = 2x - 2 + 4x - 6

Collect like terms

5x + 4 = 6x - 8

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-x = -12

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✔️m<C = (4x - 6)°

Plug in the value of x

m<C = 4(12) - 6 = 48 - 6

m<C = 42°

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3 years ago
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Given:

A right rectangular prism is packed with cubes of side length \dfrac{1}{5} inch.

Prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height.

To find:

The volume of the prism

Solution:

Side length of each cube =\dfrac{1}{5} inch.

15 cubes along the length, so length of prism is

l=15\times \dfrac{1}{5}=3\text{ inches}

6 cubes along the width, so width of prism is

b=6\times \dfrac{1}{5}=\dfrac{6}{5}\text{ inches}

5 cubes along the height, so height of prism is

h=5\times \dfrac{1}{5}=1\text{ inch}

Now,

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V=l\times b\times h

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