A plot of grass behind a building is shown.
2 answers:
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<em>x = 8</em>
Step-by-step explanation:
Add 1 to both sides.
Add 2x to both sides.
Divide 40 by 5.
x = 8
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.
Answer: the diagonal is 10 units
Step-by-step explanation:
The rectangle has 2 parallel and equal sides. Each of the 4 angles in a rectangle is 90°. Therefore, the diagonal of the rectangle divides it into 2 equal right angle triangles and the diagonal represents the hypotenuse of both right triangles.
To determine the length of the diagonal of the rectangle, d, , we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 5² + (5√3)²
d² = 25 + 25×3 = 100
d = √100
d = 10 units
