the answer is 'true'.....all quadrilaterals are four sided figures. Infact four sided polygons or four sided figures are called quadrilaterls
Answer: rotation can be expressed as the composition of two reflections. A composition of reflections over two parallel lines is equivalent to a translation. Example: Given a || b, and pre-image ΔABC, where parallel lines are vertical. The composition of reflections over two intersecting lines is equivalent to a rotation. A composition of transformations is a combination of two or more transformations, each performed on the previous image. A composition of reflections over parallel lines has the same effect as a translation (twice the distance between the parallel lines). i hope this helps.
Step-by-step explanation:
Answer:
−3(x+9)
Step-by-step explanation:
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Answer:
25.6 ft
Step-by-step explanation:
Although the problem here is listed under "Pythagorean theorem" you can't solve it by the Pythagorean theorem simply because you need to know the length of two sides of the right triangle formed by the broken tree and the stump.
But you can use trigonometry.
The broken tee and trunk form a right triangle with the ground.
The stump can be represented by the height of the triangle (10 ft.) while the fallen treetop can be represented by the hyptenuse of the triangle with the ground forming the base of the triangle.
So, we have a right triangle whose height is 10 ft. having an angle opposite the height of 40 degrees.
You are asked to find the original height of the tree so you need to find the length of the fallen treetop (the "hypotenuse") and then you'll add this to the tree stump (10 ft.) to find the original height of the tree. To find the length of the "hypotenuse", you can use the sin funtion of trigonometry because in a right triangle: Sin(A) = Opposite/Hypotenuse where the angle A (40 degrees)is the angle opposite the height (10 ft).
Sin%2840%29+=+10%2Fh where h is the hypotenuse. Solving for h, we get:
h+=+10%2FSin%2840%29
h+=+10%2F0.643
h+=+15.6ft.
Now add this to the 10-ft stump:
10+15.6 = 25.6 ft.
The tree was 25.6 ft originally.
