<span>Rigid motion does not change the shape of an object. if you move an object to another place, you can think of it as a new object (a copy) at the new position and it will be congruent to the object at the original position. or, if two objects are congruent, you can move one object so it lies on top of the other, showing they are congruent.</span>
Step-by-step explanation:
The explanatory is the independent variable, or the variable that goes on the x-axis of a graph. Here, that could be time or political affiliation.
The response variable is the dependent variable, or the variable that goes on the y-axis of a graph. Here, that would be percent that have a positive view of capitalism/socialism.
Answer:
a) (1215, 1297)
b) (1174, 1338)
c) (1133, 1379)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 1256
Standard Deviation, σ = 41
Empirical Rule:
- Also known as 68-95-99.7 rule.
- It states that almost all the data lies within three standard deviation for a normal data.
- About 68% of data lies within 1 standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within 3 standard deviation of mean.
a) range of years centered about the mean in which about 68% of the data lies

68% of data will be found between 1215 years and 1297 years.
b) range of years centered about the mean in which about 95% of the data lies

95% of data will be found between 1174 years and 1338 years.
c) range of years centered about the mean in which about all of the data lies

All of data will be found between 1133 years and 1379 years.
Correct option is B. Area of rectangle is 
We know that area of rectangle = Length × Width
We are given,
Length = 12y - 5
Width = 2y
So, area of rectangle = (12y - 5) × (2y)
=
× 
= (12y × 2y) - (5 × 2y)
= 
<h3>What are
algebraic equations?</h3>
An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants. Also Check: Algebraic Expressions. In simple words, equations mean equality i.e. the equal sign.
To learn more about algebraic equations from the given link
brainly.com/question/11516438
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2x+3m=p because you don't know how many people there are you put a variable in place for that