Answer:
A translation can map one angle unto another since dilations preserve angle measures of triangles
Step-by-step explanation:
The dilation of the figure by a scale factor of 4 gives an image that is 4 times the size of the original figure. However, the interior angles of the image and the original figure remain the same
A translation is a rigid transformation, such that the image and the preimage of a translation transformation have the same dimensions and angles
A translation of three consecutive non-linear points of the dilated image to the vertex and the two lines joining the corresponding point on the image, translates the angle at the given vertex
The above process can be repeated, to translate a second angle from the image to the preimage, from which it can be shown that the two figures are similar using Angle Angle, AA, similarity postulate
remember that when total value is used a negative number is turned positive so it equals to 282 feet
Answer:
55
Step-by-step explanation:
The n-th term of an arithmetic sequence is given by the formula ...
an = a1 + d(n -1)
where a1 is the first term (5.5) and d is the common difference (0.5).
So, the n-th term is ...
an = 5.5 +0.5(n -1) = 5.0 +0.5n
For n = 100, the term is ...
a100 = 5.0 +0.5(100) = 55
The 100th term of the sequence is 55.