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Dmitrij [34]
2 years ago
5

1) Which statement is needed to complete this syllogism? If a quadrilateral has 4 congruent sides, then it is a rhombus. If it i

s a rhombus, then it’s diagonals are perpendicular. Therefore, if ________________________, then it’s diagonals are perpendicular.
A) a quadrilateral has 4 congruent sides

B) it is a rhombus

C) it is a rectangle

D) it has diagonals
Mathematics
1 answer:
lapo4ka [179]2 years ago
5 0

Statement A is needed to complete this syllogism. its diagonals are perpendicular. Therefore, if a <u>quadrilateral has 4 congruent sides</u> then its diagonals are perpendicular.

<h3>What is a syllogism?</h3>

A logical structure for a formal argument that includes a major, minor, and conclusion.

This syllogism cannot be concluded without Statement A. The diagonals of it are parallel. As a result, a quadrilateral's diagonals are perpendicular if it has four congruent sides.

If a quadrilateral has 4 congruent sides, then it is a rhombus. If it is a rhombus, then its diagonals are perpendicular.

Therefore, if a <u>quadrilateral has 4 congruent sides</u> then its diagonals are perpendicular.

Hence option A is correct.

To learn more about the syllogism refer;

brainly.com/question/21635821

#SPJ1

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2 days.

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Gekata [30.6K]

Answer: 225 square feet

Step-by-step explanation:

We find the area of the 4 triangle and the area of the rectangle and thereafter we add everything together.

Area of triangle 1 = 1/2 base × height

= 1/2 × 12 × 8

=96/2

=48

Area of triangle 2 = area of triangle 1= 48( because the opposite triangle are congruent so they have equal base and height)

Area of triangle 3 = 1/2×base×height

= 1/2 × 6 ×9.5

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=28.5

Area of triangle 4=Area of triangle 3 = 57 (the opposite triangle are congruent and so they have the same base and height hence the same area)

Area of the rectangle = length×breadth

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Therefore, the total surface area is 225 square feet

5 0
3 years ago
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11.8 % empty

Step-by-step explanation:

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attention ! the question gives us diameter, so for radius we need to cut them in half.

Va = pi × (14/2)² × 9 = pi×49×9 = 1385.44236... ft³

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after filling B with everything in A there is still some empty volume in B

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100% Vb = 1570.79633... ft³

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so, how often does 1% of the total volume of B fit into the remaining empty volume of B ?

185.35397... / 15.7079633... = 11.8%

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2 years ago
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Phoenix [80]

Answer:

Step-by-step explanation:

-120 + x = 10

x = 10 + 120

x = 130 <===

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