1)
2) is a right angle (perpendicular lines form right angles)
3) is a right triangle (definition of a right triangle)
4) and
are complementary (the acute angles of a right triangle are complementary)
X + 2
1 answer:
Answer:
see explanation
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = h (a + b)
where a, b are the measures of the parallel sides and h the perpendicular distance between them.
here h = x - 5, a = x + 6 and b = x + 2, thus
A = (x - 5)(x + 6 + x + 2) = 36
Multiply both sides by 2 to clear the fraction
(x - 5)(2x + 8) = 72 ← expand left side
2x² - 2x - 40 = 72 ← divide through by 2
x² - x - 20 = 36 ( subtract 36 from both sides )
x² - x - 56 = 0 ← as required
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Answer:
The correct option is B.
Step-by-step explanation:
It is given that triangle A"B"C" is the image of triangle ABC after transformation.
From the given figure it is noticed that the point C lies on positive y-axis and point C" lies on negative x-axis.
It means the figure is rotated either counterclockwise 90° or clockwise 270°. The rotation rule is
The corresponding sides of image A"B"C" are smaller than the preimage ABC.
Since k<0, therefore the transformation shows the reduction. The dilation rule is
Option B is correct.
The point (5, 3) is in first quadrant, then after the 90° clockwise the point will be in fourth quadrant and the coordinate will get swap. Then the coordinate will be (3, -5).
<h3>What is a transformation of a point?</h3>A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
If the point A at (5, 3) is rotated clockwise about the origin through 90°.
Then the coordinates of the new point will be
The point (5, 3) is in first quadrant, then after the 90° clockwise the point will be in fourth quadrant and the coordinate will get swap.
Then the coordinate will be (3, -5).
More about the transformation of a point link is given below.
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