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Nataly [62]
2 years ago
14

What are the converse, inverse and contrapositive of the statement? Which statements are true? Statement: If the figure is squar

e, then the figure is quadrilateral
Mathematics
1 answer:
notsponge [240]2 years ago
5 0

Conditional: If p, then q

Converse: If q, then p

Inverse: If not p, then not q.

Contrapositive: If not q, then not p.

Blow, p is bold; <em>q is italic</em>; <u>not p is bold underline</u>; <u><em>not q is italic underline</em></u>.

<u><em>The truth value of each statement is bold, italic underline.</em></u>

Conditional: If a figure is a square, then <em>the figure is a quadrilateral</em>.    <u><em>True</em></u>

Converse: If <em>a figure is quadrilateral</em>, then the figure is a square.   <u><em>False</em></u>

Inverse: If <u>a figure is not a square</u>, then <u><em>the figure is not a quadrilateral</em></u>.   <u><em>False</em></u>

Contrapositive: If <em>a figure is not a quadrilateral</em>, then the figure is not a square.   <u><em>True</em></u>

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3 years ago
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Answer:

A. 162 m²

Step-by-step explanation:

==>Given:

Isosceles trapezoid with:

base a = 19m

base b = 35m

Perimeter = 74meters

==>Required:

Area of trapezoid

==>Solution:

Recall: the length of the legs of an isosceles trapezoid are equal.

Perimeter of isosceles trapezoid = sum of the parallel sides + 2(length of a leg of the trapezoid)

Let l = leg of trapezoid.

Perimeter = 74m

Sum of parallel sides = a+b = 19+35 = 54m

Thus,

74 = 54 + 2(l)

74 - 54 = 2(l)

20 = 2(l)

l = 20/2 = 10m

Let's find area:

Area = ½(a+b)*h

a = 19

b = 35

h = ?

Using Pythagorean theorem, let's find h as follows:

h² = l² - [(35-19)/2)²

h² = 10² - [16/2]²

h² = 100 - 64

h² = 36

h = √36 = 6m

Area = ½ x (a+b) × h

= ½ × (19+35) × 6

= ½ × 54 × 6

= 27 × 6

Area = 162m²

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The price of a gallon of gasoline increased from 2.50 a gallon to 2.75 a gallon what was the percent increase
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