Answer:
See below
Step-by-step explanation:
I can't draw it for you so here are the points. Draw your triangle with them.
From the original triangle, to rotate 180 degrees around the origin, just imagine your are flipping your computer screen upside down which is 180 degrees. To get the coordinates for the points, just make each x and y value the opposite of what the origin is.
Original points ( 2, 1 ) ( 5, -2 ) ( 3, -4 )
Rotated points ( -2, -1 ) ( -5, 2 ) ( -3, 4 )
It would be 6824 because 6825 would be 6830 and 6824 is the largest number that rounds down to 6820
Answer:
The height of the trapezoid is 6.63 units
The perimeter of the trapezoid is 38 units
Step-by-step explanation:
Whenever a geometry problem is given, it is often useful if it is sketched out. A sketch of this problem can be found in the image attached.
A)
We can see that a right-angled triangle is formed between points BED, with line BE being the height, h.
To get the dimensions of the line EB, we subtract the dimensions of DC from AB. This will give 15 -5 = 10
hence the dimensions of the righ angled triangle are
DE= h
DB = 12 (diagonal)
EB = 10
From Pythagoras' theorem,
The height of the trapezoid is 6.63
B)
We can get the perimeter of the trapezoid by adding the dimensions of all four sides together.
This will be
AD + DC + CB + AB
However we can assume for this case that it is a symmetrical trapezoid, and hence AD = CB
Thus, perimeter =
2 (AD) + DC +AB
2(9) +5 +15 = 38.
The perimeter of the trapezoid is 38 units
Since the triangles are similar, the ratio of each side in one triangle to
the corresponding side in the other one is always the same number.
We know what one pair of sides is ... 3.5 and 7 ... so we know that
each side in the first triangle is 1/2 as long as the corresponding side
in the other one.
So we can say with assurance that ...
y = 1/2 (x + 4)
and
x = 1/2 (3y) .
That's all the intelligence required for this problem. The rest is just algebra,
and I should not need to go through all the routine misery for you here.
When you solve this pair of equations slowly, carefully, and accurately,
you'll find that the sides of the triangles are ...
3.5, 8, 12
and
7, 16, 24 .
Answer:
$5.75x5=$28.75
$28.75-$4.50=$24.25
Step-by-step explanation:
