Answer:
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1)To find a Scale factor of Dilation, about the origin
We have
Pre-mage Image
(x, y) k(x,y)
For example
Pre-image Image
(2,4) 2(2,4) = (4,8)
2)When it's not about the origin then we have to count from the Projection Point
Having said this, ex
Which is not a step
a)
We can divide the x value of the image over the pre-image, not the way around.
In the example, I've given if we divide the pre-image over the image value we would have found a scale factor of 1/2. In the example, The scale factor was the inverse: 2
They are vertical angles and here’s why.
Vertical angles are a pair of opposite angles formed by intersecting lines.
Supplementary angles are two angles that equal 180 when added together.
Adjacent angles are two angles that have a common side and a common vertex.
Complementary angles are two angles that add up to 90 degrees.
Hope this helped!
<span>Based in the information given in the problem, you must apply the The Angle Bisector Theorem. Let's call the triangle: "ABC"; the internal bisector of the angle that divides its opposite side: "AP"; and "x": the longest and shortest possible lengths of the third side of the triangle.
If BP= 6 cm and CP= 5 cm, we have:
BP/CP = AB/AC
We don't know if second side of the triangle (6.9 centimeters long) is AB or AC, so:
1. If AB = 6.9 cm and AC = x:
6/5 = 6.9/x
x = (5x6.9)/6
x = 5.80 cm
2. If AC= 6.9 cm and AB= x:
6/5 = x/6.9
x = 6.9x6/5
x = 8.30 cm
Then, the answer is:
The longest possible length of the third side of the triangle is 8.30 cm and the and shortest length of it is 5.80 cm.</span>
It equals 40/6. I hope this helps. Good luck!
