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arsen [322]
11 months ago
13

A

Mathematics
1 answer:
Anika [276]11 months ago
5 0

Based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.

<h3>How to illustrate the information?</h3>

It should be noted that complementary angles are the angles that are equal to 90°.

Therefore, based on the information given, the expression will be illustrated thus:

19x + 6 + 9x = 90°

Collect like terms

28x = 90° - 6°

28x = 84

Divide through by 28

28x / 28 = 84/28

x = 3

Therefore, the value of HEB will be:

= 9x

= 9 × 3

= 27°

Therefore, based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.

Learn more about angles on:

brainly.com/question/25716982

#SPJ1

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The simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2

<h3>What is the area of the rectangular table?</h3>

Since the carpenter built a square table with side length x.  Next, he will build a rectangular table by tripling one side and halving the other.

To find the area of the rectangular table, we know that Area, A = LW where

  • L = length and
  • W = width

Now, since the length of the square is x, and the rectangular table has one side of the square tripled and halving the other side .

So,

let

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  • width of rectangular = W = 3x

So, the area of the rectangular table A = LW

= x/2 × 3x

= 3x²/2

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