A quadrilateral is any figure with 4 sides, no matter what the lengths of
the sides or the sizes of the angles are ... just as long as it has four straight
sides that meet and close it up.
Once you start imposing some special requirements on the lengths of
the sides, or their relationship to each other, or the size of the angles,
you start making special kinds of quadrilaterals, that have special names.
The simplest requirement of all is that there must be one pair of sides that
are parallel to each other. That makes a quadrilateral called a 'trapezoid'.
That's why a quadrilateral is not always a trapezoid.
Here are some other, more strict requirements, that make other special
quadrilaterals:
-- Two pairs of parallel sides . . . . 'parallelogram'
-- Two pairs of parallel sides
AND all angles the same size . . . . 'rectangle'
(also a special kind of parallelogram)
-- Two pairs of parallel sides
AND all sides the same length . . . 'rhombus'
(also a special kind of parallelogram)
-- Two pairs of parallel sides
AND all sides the same length
AND all angles the same size . . . . 'square'.
(also a special kind of parallelogram, rectangle, and rhombus)
Answer:
36 cm^2
Step-by-step explanation:
The formula for the area of a parallelogram is area = base (height). so area - 6(6). So the answer is 36 square cm.
Answer:
1131 students, is the best prediction.
Step-by-step explanation:
1450 divided by 50 = 29
50 - 14 = 36
36 x 29 = 1131
Answer:
71 (or 7.... read explanation)
Step-by-step explanation:
If you mean | -71 | then it's 71.
If you mean | -7 | then it's 7
Absolute values turn negative numbers into positive numbers.
Answer:
a. 129 meters
Step-by-step explanation:
The given parameters of the tree and the point <em>B</em> are;
The horizontal distance between the tree and point <em>B</em>, x = 125 meters
The angle of depression from the top of the tree to the point <em>B</em>, θ = 46°
Let <em>h</em> represent the height of the tree
The horizontal line at the top of the tree that forms the angle of depression with the line of sight from the top of the tree to the point <em>B</em> is parallel to the horizontal distance from the point <em>B</em> to the tree, therefore;
The angle of depression = The angle of elevation = 46°
By trigonometry, we have;
tan(θ) = h/x
∴ h = x × tan(θ)
Plugging in the values of the variables gives;
h = 125 × tan(46°) ≈ 129.44
The height of the tree, h ≈ 129 meters
