Declan draws triangle WXY. He then constructs a perpendicular bisector from vertex W that intersects side XY at point Z. What ca
n Declan conclude, based on his drawing?
2 answers:
Answer:
Option D.
Step-by-step explanation:
Given information: WXY is a triangle.
Steps of construction:
1. Draw a triangle WXY.
2. Constructs a perpendicular bisector from vertex W that intersects side XY at point Z.
If a line cuts a line segment exactly in half by a 90 degree angle, then it is called a perpendicular bisector.
WZ is a perpendicular bisector on XY. It means point Z divides the side XY in two equal parts.
Therefore, the correct option is D.
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Answer: sqrt(2)/2 which is choice D
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Explanation
(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).
The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle
180-135 = 45
Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2
sine is positive in quadrant 2
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Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2
Recall that y = sin(theta).
Answer:
Infinite pairs of numbers
1 and -1
8 and -8
Step-by-step explanation:
Let x³ and y³ be any two real numbers. If the sum of their cube roots is zero, then the following must be true:
Therefore, any pair of numbers with same absolute value but different signs fit the description, which means that there are infinite pairs of possible numbers.
Examples: 1 and -1; 8 and -8; 27 and -27.