Answer:
<em>not</em> a rectangle
Step-by-step explanation:
There are several ways to determine whether the quadrilateral is a rectangle. Computing slope is one of the more time-consuming. We can already learn that the figure is not a rectangle by seeing if the midpoint of AC is the same as that of BD. (It is not.) A+C = (-5+4, 5+2) = (-1, 7). B+D = (1-2, 8-2) = (-1, 6). (A+C)/2 ≠ (B+D)/2, so the midpoints of the diagonals are different points.
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The slope of AB is ∆y/∆x, where the ∆y is the change in y-coordinates, and ∆x is the change in x-coordinates.
... AB slope = (8-5)/(1-(-5)) = 3/6 = 1/2
The slope of AD is computed in similar fashion.
... AD slope = (-2-5)/(-2-(-5)) = -7/3
The product of these slopes is (1/2)(-7/3) = -7/6 ≠ -1. Since the product is not -1, the segments AB and AD are not perpendicular to each other. Adjacent sides of a rectangle are perpendicular, so this figure is not a rectangle.
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Our preliminary work with the diagonals showed us the figure was not a parallelogram (hence not a rectangle). For our slope calculation, we "magically" chose two sides that were not perpendicular. In fact, this choice was by "trial and error". Side BC <em>is perpendicular</em> to AB, so we needed to choose a different side to find one that wasn't. A graph of the points is informative, but we didn't start with that.
Answer:
Noun. 1. true statement - a true statement; "he told the truth"; "he thought of answering with the truth but he knew they wouldn't believe it" truth.
Answer:
The measurement of the angle subtended by an arc with a length of 5/2 pi meters is 149.542°
Step-by-step explanation:
Here, the diameter of the circle = 6 m
Diameter = 2 x RADIUS
So, radius = D / 2 = 6 / 2 = 3 m
Also, the length of the arc = ( ) meters
Putting π = 3.14, we get
The length S of the arc =
or, S = 7.85 m
Let us assume the arc subtends angle Ф at the center of the circle.
⇒ S = r Ф
or, Ф =
⇒Ф = 2.61 radians
Now, 1 Radian = 57.2958 Degrees
⇒ 2. 62 Radian = 2.61 x ( 57.2958 Degrees) = 149.542 °
or, Ф = 149.542°
Hence, the measurement of the angle subtended by an arc with a length of 5/2 pi meters is 149.542°
there is an order it goes : ones place, tens, hundreds, thousands etc
so in the number 56423
3 is in the ones 2 is the tens 4 is the hundreds 6 is the thousands 5 is the tens thousand
Answer:
Step-by-step explanation: