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Svetradugi [14.3K]
2 years ago
11

If △NMO ∼ △XYZ, and the area of △NMO is 147 square feet, find the area of △XYZ

Mathematics
1 answer:
sladkih [1.3K]2 years ago
6 0

The area of △XYZ according to the figure is 363ft²

<h3>Area of triangles</h3>

The formula for calculating the area of a triangle is expressed as:

A = 0.5bh

  • b is the base
  • h is the height

<h3>Calculate area of each triangles</h3>

For the triangle  △NMO

Area of  △NMO = 0.5bh

147 = 0.5b(14/12)

147 = 7b/12

7b = 12 * 147

b = 252

b = 252ft

b = 3024in

Get the base of △XYZ

14/3024 = 22/XZ

XZ = 4,752in

Area of △XYZ = 0.5 (4,752)(22)

Area of △XYZ= 52,272in²

Area of △XYZ = 363ft²

Hence the area of △XYZ is 363ft²

Learn more on area of triangles here: brainly.com/question/17335144

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Answer:

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Given the data:

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Y intercept ; value of y when x = 0

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y = 2x + 1

Sidewalk 2:

Point slope form:

y - y1 = m(x - x1)

m = slope

m = = (-3 - 3) / (3 - 1) = - 6/2 = - 3

Point (x1, y1) = (1, 3)

y - 3 = - 3(x - 1)

To slope intercept form:

y - 3 = - 3(x - 1)

y - 3 = - 3x + 3

y = - 3x + 3 + 3

y = - 3x + 6

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y = 2x + 1 - - - (1)

y = - 3x + 6 - - - (2)

Substitute (1) into (2)

2x + 1 = - 3x + 6

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x = 1

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