Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
Answer:
Option(c) 34m
Step-by-step explanation:
Perimeter of a rectangle = 2(length + breadth)
length = 12m
breadth/width = 5m
Perimeter = 2(12 + 5)
= 2(17)
= 34m
Answer:
0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 17.39 ppm
Standard Deviation, σ = 4.25 ppm
Sample size = 11
We are given that the distribution of printing speed is a bell shaped distribution that is a normal distribution.
Formula:
P(printing speed of the sample is greater than 17.99 ppm.)
P(x > 17.99)

Calculating the value from the standard normal table we have,

Thus, 0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.
The Answer Is:<span>4.222222</span>
4 2/9 = 4 + 2/9
= 4/1 + 2/9
= (4/1 * 9/9) + 2/9
= 36/9 + 2/9
= 38/9
= 38 ÷ 9 = 4.222222
Total sets of 4-digits = 6
Total 4-digit numbers formed by one set of number = 4
So, total numbers that can be formed = 6 × 4 = 24