Question
In quadrilateral ABCD above, 
and
. What is the measure of angle B ?
Hint:
Hint:
- Sum of angle between two parallel line is 180.
The correct answer is:
Explanation:
- We have given a quadrilateral
- We have to find angle B
Step 1 of 1:
BE and CD are equal and parallel
Hence, CD = BE = 1/2 AB
BAE forms an acute angle
An acute angle in a right triangle has measure 30° if and only if the side opposite this angle is half the length of the hypotenuse, BE = 1/2 AB (Such a triangle is called a 30°-60°-90° triangle.)
Thus, angle BAE, ABE, BEA must be 30, 60 and 90o respectively
Since angle B comprises of both angle ABE (in the triangle) and angle EBC (in the square),
angle B = angle ABE + angle EBC
and angle BEC = 90
Therefore, angle B = 60 + 90 = 150
Hence, Option A is correct
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The concepts of speed, time, and distance are frequently used in questions about motion in a straight line, circular motion, boats and streams, races, clocks, and so on. Therefore, aspirants should comprehend the interdependence of speed, distance, and time.
Relationship between speed, time, and distance
• Speed = Distance/Time: This indicates how slowly or quickly an object moves. It shows the distance traveled divided by the time taken to cover the distance.
Distance is directly proportional to speed, and time is inversely proportional to speed.
• Distance = Speed x Time, and
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Any basic problem can be solved using these formulas. However, the correct usage of units is also important while using formulas.
If a peregrine falcon dove at its maximum speed for half a mile to catch prey, how many seconds would the dive take? (Round your answer to the nearest second.)
The concepts of speed, time, and distance are frequently used in questions about motion in a straight line, circular motion, boats and streams, races, clocks, and so on. Therefore, aspirants should comprehend the interdependence of speed, distance, and time.
Relationship between speed, time, and distance
• Speed = Distance/Time: This indicates how slowly or quickly an object moves. It shows the distance traveled divided by the time taken to cover the distance.
Distance is directly proportional to speed, and time is inversely proportional to speed.
• Distance = Speed x Time, and
• Time = Distance / Speed; as speed increases, the time taken will decrease, and vice versa.
Any basic problem can be solved using these formulas. However, the correct usage of units is also important while using formulas.
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Note:
We can also solve this question by eliminating the options.
The first option A) is not correct because the line passes through the origin and so it must satisfy the equation, which is not true as 0- 2
Then C) is not correct as the line passes through (0, -3), but this point does not satisfy the equation. Similarly, for option D) the point (0, 2) lies on the graph, but does not satisfy the equation.
