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Mrrafil [7]
3 years ago
8

The rectangle has an area of x to the second power plus 13x + 36 sq.Meters and a length of x + 9 meters. What expression represe

nts the width of the rectangle
Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer: the expression for the width is x + 4

Step-by-step explanation:

The area of the rectangle is expressed as

Area = x² + 13x + 36 square meters.

The length is expressed as

L = x + 9 meters

To determine the expression for the width of the rectangle, we would factorize the expression for the area. Hence

x² + 13x + 36 = 0

We would find two numbers such that their sum or difference is 13x and their product is 36x². The two numbers are 9x and 4x. Therefore,

x² + 9x + 4x + 36 = 0

x(x + 9) + 4(x + 9) = 0

(x + 4)(x + 9)

Therefore, the expression that represents the width of the rectangle is x + 4

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Find the measure of the angle indicated. 6
deff fn [24]

Answer:

1) m∠U = 90°

2) m∠C = 80°

Step-by-step explanation:

1) The given figure is a quadrilateral

The sum of the interior angles of  quadrilateral = 360°

∴ The sum of the interior angles of the given figure = 360°

Therefore, we have;

80° + 24·x + 4 + 6 + 21·x + 90° = 360°

80° + 45·x + 10  + 90° = 360°

x = (360°- (80° + 10° + 90°))/45 = 4

x = 4

m∠U = 6 + 21·x = 6 + 21 × 4 = 90

m∠U = 90°

2) The sum of the interior angles of the given quadrilateral = 360°

∴ 21·x + 6 + 20·x + 24·x + 4 + 21·x + 6 = 360°

86·x + 16 = 360°

x = (360° - 16°)/86 = 4

x = 4

m∠C = 20·x = 20 × 4 = 80

m∠C = 80°

3) In the figure, some angles are left out, therefore, more information on the remaining angles required

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3 years ago
Circumference of circle use3.14 for value
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2πr

Step-by-step explanation:

4 0
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It depends.

Step-by-step explanation:

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