Answer:
x=1
Step-by-step explanation:
3x1+2=5
1=2 -corresponding angle
2+3=180° (linear pair)
1+3=180°
For the given sentences, the algebraic expressions are:
a) N = 110*c - 300
b) N = 12*b
<h3>
How to get the algebraic expressions?</h3>
For the first statement:
A 3-digit number, where the tens digit is c, can be written as:
N = 100*a + 10*c + b
Then the hundreds digit is a, and here we know that is 3 less than the tens digit, then:
a = c - 3
The ones digit is b, here we know that it is 0, then b = 0.
Replacing that in our number we get:
N = 100*(c - 3) + 10*c = 110*c - 300
N = 110*c - 300
That is the algebraic expression.
b) A two-digit number can be written as:
N = b*10 + a
Where b is the tens digit and a is the ones digit.
Here we know that the units digit is twice as bit as the tens digit, then:
a = 2b
Replacing that we get:
N = b*10 + a = b*10 + 2b = 12*b
N = 12*b
That is the algebraic expression.
If you want to learn more about algebraic expressions:
brainly.com/question/4541471
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The linear equation that best represents the data is given by:
y = 1.35x - 2.11.
<h3>Why is the data best represented by a linear equation?</h3>
We have to consider two things:
- The data increases over the entire interval, not having changes in the behavior related to increasing/decreasing, hence a quadratic equation would not be a good representation for the data.
- The increase is best followed by a constant, especially for higher values, and not by a multiplier, hence a linear function is selected over an exponential function.
<h3>How to find the equation of linear regression using a calculator?</h3>
To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points are given as follows:
(1, 0.2), (2, 0.4), (3, 1.1), (4, 2.3), (5, 5.1), (6, 6.3), (7, 7.5).
Inserting these points into the calculator, the equation is given by:
y = 1.35x - 2.11.
More can be learned about linear equations at brainly.com/question/24808124
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Answer:
The area of the trapezoid is 40 square inches
Step-by-step explanation:
Here, we want to find the area of the given trapezoid
Mathematically, we apply the formula for the area
In this case, a will be 10, b will be 6 and h will be 5
Substituting these values, we have that ;
A = 1/2(10 + 6)5
A = 1/2(16)(5)
A = 40 square inches
