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ExtremeBDS [4]
3 years ago
13

Help pls!! ....................................................

Mathematics
1 answer:
Nikolay [14]3 years ago
8 0

Answer:

(a) The width is 40 inches

(b) It will not

Step-by-step explanation:

Given

D = 50 -- Diagonal

Solving (a): H = 30 --- (height).

Find the width (W)

To do this, we make use of Pythagoras theorem

D^2 = H^2 + W^2

This gives:

50^2 = 30^2 + W^2

2500 = 900 + W^2

Collect Like Terms

W^2 = 2500 - 900

W^2 = 1600

Take square roots

W = 40

Solving (b): Will it fit into a 30 in wide cabinet?

In (a) above, we calculated the width of the TV to be 40 inches

This implies that, the width is greater than the width of the cabinet.

<em>So, it will not fit in</em>

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2 years ago
PLEASE HELP!!!!!!!!!<br> Make sure you show all your work for full points. What is o?
Pie

Answer:

  o = 54

Step-by-step explanation:

The angle sum theorem tells you the sum of angles in a triangle is 180°. The definition of a linear pair tells you the two angles of a linear pair total 180°. Together, these relations tell you that an exterior angle of a triangle is equal to the sum of the remote interior angles.

In this geometry, the angle marked 78° is exterior to the left-side triangle. That means ...

  78° = o° +24°

  o° = 78° -24° = 54°

The value of 'o' is 54.

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<em>Additional comment</em>

n° is the supplement of 78°, so is 102°.

m° is the difference between 102° and 22°, so is 80°.

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