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Lisa [10]
3 years ago
10

Hello can someone please help with this question.

Mathematics
2 answers:
quester [9]3 years ago
5 0

Answer:

x = 20.

Step-by-step explanation:

This is a right triangle, so by Pythagoras:

29^2 = x^2 + 21^2

x^2 = 29^2 - 21^2

x^2 =  400

x = √400

x = 20.

nexus9112 [7]3 years ago
4 0

Answer:

20

Step-by-step explanation:

sqrt(29² - 21²)

sqrt(400)

= 20

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Step-by-step explanation:

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Side BC corresponds to and is congruent to side EC

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So, ΔABC ≅ ΔDEC

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2x + 72xx + 8x
valentinak56 [21]

The area of the shaded region is 3x^2 + 6x

<h3>How to determine the area of the shaded region?</h3>

The given parameters are:

  • Top side of the shaded rectangle = 2x + 7.
  • Left side of the shaded rectangle = 2x.
  • Top side of the unshaded rectangle = x + 8.
  • Left side of the unshaded rectangle = x.

The area of the shaded region is calculated as:

Shaded region area = (Top side of the shaded rectangle * Left side of the shaded rectangle) - (Top side of the unshaded rectangle * Left side of the unshaded rectangle)

Substitute the known values in the above equation

Shaded region area = (2x + 7) * (2x) - (x + 8) * (x)

Evaluate the products

Shaded region area = (4x^2 + 14x) - (x^2 + 8x)

Open the bracket

Shaded region area = 4x^2 + 14x - x^2 - 8x

Collect the like terms

Shaded region area = 4x^2 - x^2 + 14x  - 8x

Evaluate the like terms

Shaded region area = 3x^2 + 6x

Hence, the area of the shaded region is 3x^2 + 6x

Read more about areas at:

brainly.com/question/25292087

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