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Anarel [89]
3 years ago
10

Which quadrilaterals always have opposite angles that are congruent

Mathematics
1 answer:
horsena [70]3 years ago
6 0

Answer:

(1) Parallelogram A parallelogram is a quadrilateral with two

sets of parallel sides. The opposite or facing sides of a

parallelogram are of equal length, and the opposite angles of a

               

(2) Square

A square is a regular quadrilateral. This means that is has four

equal sides and four equal angles.

(3) Rhombus                                                                                                                                                A rhombus is a quadrilateral whose four sides all have the same

length. Opposite angles of a rhombus have equal measure. The two

diagonals of a rhombus are perpendicular.

(4) Rectangle

A rectangle normally refers to a quadrilateral with four right

angles.

Parallelogram

Step-by-step explanation:

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Lera25 [3.4K]

Answer:

Mean; 5

MEDIAN: 5

Range: 2

Mode: all values appeared just once

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Largest: 6

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4 0
3 years ago
Read 2 more answers
The coordinate plane below represents a town. Points A through F are farms in the town.
prohojiy [21]

Part A;
There are many system of inequalities that can be created such that only contain points D and E in the overlapping shaded regions.

Any system of inequalities which is satisfied by (-4, 2) and (-1, 5) but is not satisfied by (1, 3), (3, 1), (3, -3) and (-3, -3) can serve.
An example of such system of equation is
x < 0
y > 0
The system of equation above represent all the points in the second quadrant of the coordinate system.The area above the x-axis and to the left of the y-axis is shaded.


Part B:It can be verified that points D and E are solutions to the system of inequalities above by substituting the coordinates of points D and E into the system of equations and see whether they are true.
Substituting D(-4, 2) into the system
we have:
-4 < 0
2 > 0
as can be seen the two inequalities above are true, hence point D is a solution to the set of inequalities.
Also, substituting E(-1, 5) into the system we have:
-1 < 0
5 > 0
as can be seen the two inequalities above are true, hence point E is a solution to the set of inequalities.

Part C:Given that chicken can only be raised in the area defined by y > 3x - 4.
To identify the farms in which chicken can be raised, we substitute the coordinates of the points A to F into the inequality defining chicken's area.
For point A(1, 3): 3 > 3(1) - 4 ⇒ 3 > 3 - 4 ⇒ 3 > -1 which is true
For point B(3, 1): 1 > 3(3) - 4 ⇒ 1 > 9 - 4 ⇒ 1 > 5 which is false
For point C(3, -3): -3 > 3(3) - 4 ⇒ -3 > 9 - 4 ⇒ -3 > 5 which is false
For point D(-4, 2): 2 > 3(-4) - 4; 2 > -12 - 4 ⇒ 2 > -16 which is true
For point E(-1, 5): 5 > 3(-1) - 4 ⇒ 5 > -3 - 4 ⇒ 5 > -7 which is true
For point F(-3, -3): -3 > 3(-3) - 4 ⇒ -3 > -9 - 4 ⇒ -3 > -13 which is true
Therefore, the farms in which chicken can be raised are the farms at point A, D, E and F.
7 0
3 years ago
When using the pythagorean theorem, two of the sides of the triangle are called the "legs". What is the 3rd or longest side of t
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Answer:

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Step-by-step explanation:

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SAT Math Question (Thanks!)
Vesnalui [34]

Answer:

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Step-by-step explanation:

So we are given the equations are equal for x=5\pm a.

If the functions are equal for those values then their difference is zero for those values:

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(x^2- 2x+8)-(-x^2 +18x +4)=0

Combine like terms; keep in mind we are subtracting over the parenthesis:

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Since all terms have a common factor of 2, then divide both sides by 2:

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When compared to ax^2+bx+c=0 we should see:

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Let's simplify:

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x=\frac{10 \pm \sqrt{4} \sqrt{23}}{2}

x=\frac{10 \pm 2\sqrt{23}}{2}

Divide top and bottom by since all three terms have a common factor 2:

x=\frac{10 \pm 2\sqrt{23}}{1}

x=5 \pm \sqrt{23}

So f and g are equal for:

x=5 \pm \sqrt{23}

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3 years ago
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