erin is taking part in a play at the community theater the cast and crew ordered T-shirts for all the volunteers the cost of a t
-shirt is $8 and the total delivery charges $45 for order if the center has no more than $325 to buy T-shirts how many t-shirts can they buy
1 answer:
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The thing that all these polygons have in common is B. Each appears to have one pair of parallel sides.
<h3>What is a polygon?</h3>A polygon is a plane figure characterized by a finite number of straight line segments joined to form a closed polygonal chain in geometry. A polygon is defined as a bounded plane region, a bounding circuit, or both. A polygonal circuit's segments are known as its edges or sides.
A polygon is a two-dimensional closed object with straight sides that is flat or plane. It doesn't have any curved edges. The vertices are the spots where two sides intersect.
A geometric figure has parallel sides if the distance between them does not change and the sides do not meet or cross. Parallel sides of a shape are opposing, or across from each other, and would not intersect if extended infinitely beyond the shape's boundaries.
Parallelogram, rectangles, squares, trapezoids, hexagon, and octagon are examples of shapes with parallel sides.
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Answer: Angle A = 60°, angle B = 120°, angle C = 60°, angle D = 120°
Step-by-step explanation: Please refer to the attached diagram for further details.
The question has given the parallelogram ABCD as having side AB measuring 6 units, side AK measuring 3 units and line BK has been drawn perpendicular to line AD. This means line AK forms a right angle at the point where it meets line AD. From the information provided and the figure derived from that, we have right angled triangle ABK with the right angle at point K, line AB equals 6 units and line AK equals 3 units.
Using angle A as the reference angle, line AK is the opposite (side facing the reference angle), line AB is the hypotenuse (line facing the right angle) and line AK is the adjacent (side that lies between the right angle and the reference angle).
Hence, using the trigonometric ratios,
Cos A = adjacent/hypotenuse
Cos A = 3/6
Cos A = 0.5
Checking with the calculator, (that is second function of Cos 0.5)
A = 60
The opposite sides of a parallelogram are equal (that is line AD is parallel to line BC) and therefore opposite angles are equal (that is angle A is equal to angle C).
Similarly, angle B is equal to angle D. However, angles in a quadrilateral equals 360 degrees.
Therefore, angles in parallelogram ABCD is derived as;
A + B + C + D = 360
60 + B + 60 + D = 360
120 + B + D = 360
Subtract 120 from both sides of the equation
B + D = 240
Having known that angle B equals angle D, angles B and D is derived as each half of the value 240
Angle B = 240/2
Angle B = 120
and angle D = 120
Therefore, the angles are;
A = 60, B = 120, C = 60, D = 120
