Answer:
#1: 5
#2: 
Step-by-step explanation:
Inverse of Pythagorean Theorem: c²-b²=a²
c² b² a²
13²- 12² = 25
= 5
Pythagorean Theorem: a²+b²=c²
a² b² c²
2² + 6² = 40
c = 
the Answer:
Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. The center of dilation is a fixed point in the plane about which all points are expanded or contracted. The center is the only invariant (not changing) point under a dilation (k ≠1), and may be located inside, outside, or on a figure.
Note:
A dilation is NOT referred to as a rigid transformation (or isometry) because the image is NOT necessarily the same size as the pre-image (and rigid transformations preserve length).
What happens when scale factor k is a negative value?
If the value of scale factor k is negative, the dilation takes place in the opposite direction from the center of dilation on the same straight line containing the center and the pre-image point. (This "opposite" placement may be referred to as being a " directed segment" since it has the property of being located in a specific "direction" in relation to the center of dilation.)
Let's see how a negative dilation affects a triangle:
Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.
Answer:
2.6666
Step-by-step explanation:
hypotenuse is c^2 so you square 4 to get 16 and then you divide it by 6 to 2.666 so that is the answer for the other leg
Answer:
m∠1 = 100°
Step-by-step explanation:
Answer:
It is arithmetic and it has a common difference of -99