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Anestetic [448]
3 years ago
6

Can someone please help. Please show work

Mathematics
2 answers:
Semenov [28]3 years ago
8 0

For parallelogram:

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

for rectangle:

A quadrilateral is a polygon in Euclidean plane geometry with four edges (sides) and four vertices (corners). Other names for quadrilateral include quadrangle (in analogy to triangle), tetragon (in analogy to pentagon and hexagon), and 4-gon (in analogy to n-gons for arbitrary values of n).

for rhombus:

In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. The rhombus is often called a diamond.

for Square:

·There are four methods that you can use to prove that a quadrilateral is a square. In the last three of these methods, you first have to prove (or be given) that the quadrilateral is a rectangle, rhombus, or both:

·If a quadrilateral has four congruent sides and four right angles, then it’s a square (reverse of the square definition).

·If two consecutive sides of a rectangle are congruent, then it’s a square (neither the reverse of the definition nor the converse of a property).

·If a rhombus contains a right angle, then it’s a square (neither the reverse of the definition nor the converse of a property).

·If a quadrilateral is both a rectangle and a rhombus, then it’s a square (neither the reverse of the definition nor the converse of a property).

FinnZ [79.3K]3 years ago
5 0

Answer:

11. parallelogram, rectangle

12. parallelogram, rhombus

13. parallelogram, square

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Westkost [7]

Answer:

A=10 cm

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Step-by-step explanation:

Since that is an equilateral triangle based off the fact that all the sides are the same variable (a) then that means 30 divided by 3 which equals 10. So now we know that a = 10. Lets input that information for the rectangle. Since there are 2 a's that equals 20 and the perimeter is 30 so b has to be 5 since 5 times 2 is 10 plus 20 equals 30. so now we know that a=10 and b=5 so our squares sides are all 5. The area of the square is 25

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Step-by-step explanation:

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Vesnalui [34]

Answer:

5.83 units

Step-by-step explanation:

See attached picture.  You can use the Pythagorean Theorem.  I added some lines to show the legs of a right triangle.  AB is the hypotenuse.

3^2+5^2=(AB)^2\\\\9+25 = (AB)^2\\\\34=(AB)^2\\\\AB=\sqrt{34} \approx 5.83

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