Step-by-step explanation:
Question 10 :
3x + 6 = 4x – 12 ( reason: corresponding angles due to parallel lines)
simplify and get x, thus x = 18
to find 3x + 6 or 4x - 12(which is both the same),
3(18) + 6 = 60° , 4(18) - 12 = 60°
Question 11:
2x + 24 + x = 180 ( reason: interior angles due to parallel lines)
simplify again to get x, you will get x = 52
then find the individual by subbing in the value of x into the equation.
so 2x + 24 = 2(52)+24 = 128° and x = 52°
Answer:
Tu respuesta
Step-by-step explanation:
1.) https://www.montereyinstitute.org/courses/DevelopmentalMath/TEXTGROUP-1-8_RESOURCE/U07_L2_T3_text_final_es.html
Answer:
b) y = 289.815 when 
Step-by-step explanation:
We are given the following information in the question:

where y is the dependent variable,
are the independent variable.
The multiple regression equation is of the form:

where,
: is the intercept of the equation and is the value of dependent variable when all the independent variable are zero.
: It is the slope coefficient of the independent variable
.
: It is the slope coefficient of the independent variable
.
- The regression coefficient in multiple regression is the slope of the linear relationship between the dependent and the part of a predictor variable that is independent of all other predictor variables.
Comparing the equations, we get:

- This means holding
constant, a change of one in
is associated with a change of 0.5906 in the dependent variable.
- This means holding
constant, a change of 1 in
is associated with a change of 0.4980 in the dependent variable.
b) We have to estimate the value of y

Answer:
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Answer:
By closure property of multiplication and addition of integers,
If
is an integer
∴
is an integer
From which we have;
is an integer
Step-by-step explanation:
The given expression for the positive integer is x + x⁻¹
The given expression can be written as follows;

By finding the given expression raised to the power 3, sing Wolfram Alpha online, we we have;

By simplification of the cube of the given integer expressions, we have;

Therefore, we have;

By rearranging, we get;

Given that
is an integer, from the closure property, the product of two integers is always an integer, we have;
is an integer and
is also an integer
Similarly the sum of two integers is always an integer, we have;
is an integer
is an integer
From which we have;
is an integer.