Answer:
<u>Triangle ABC and triangle MNO</u> are congruent. A <u>Rotation</u> is a single rigid transformation that maps the two congruent triangles.
Step-by-step explanation:
ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).
- length of AB = √[(12-4)² + (8-8)²] = 8
- length of AC = √[(12-4)² + (8-14)²] = 10
- length of CB = √[(4-4)² + (8-14)²] = 6
ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).
- length of MN = √[(4-4)² + (16-8)²] = 8
- length of MO = √[(4+2)² + (16-8)²] = 10
- length of NO = √[(4+2)² + (8-8)²] = 6
Therefore:
and ΔABC ≅ ΔMNO by SSS postulate.
In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.
Your answer is C. 13.3 in. You take your circumference, and divide it by 3.14, which gives you your diameter. Then you divide that by 2 for the radius.
83.524/3.14=26.6
26.6/2=13.3
Answer: 13.3
Answer:
b) statistic.
Step-by-step explanation:
In applied statistical work we rarely have the opportunity to measure entire populations, instead we make inferences about the populations from samples drawn, ideally randomly from the population. We usually want to know averages from whole populations, but use the average from a sample as our best guess at the population average. The unknown population average is called a parameter. The known sample average is called a statistic.
As a matter of convention, most statistical texts use greek symbols for population parameters and the English or Arabic letters for sample statistics. For example, a sample mean is often denoted as x-bar . Population means are denoted with the lower-case greek letter mu μ .
Answer:
Yes
Yes
No
Step-by-step explanation:
9-12-15 is just a dilation of a 3-4-5, which is right.
6-8-10 is also a dilation of 3-4-5.
However, 2-4-6 is not a triangle. In fact, it's just a line segment, because 2+4=6
Answer:
If t is the number of years after 2003, then t = 0 in 2003.
Step-by-step explanation: