Answer:
m∠3 = 115 degrees
Step-by-step explanation:
angle 6 and angle 8 are on a straight line
we know that sum of angles on straight line is 180
therefore
m∠8 = x+5
m∠6 + m∠8 = 180
2x - 5 + x+5 = 180
=> 3x = 180
=> x = 180/3 = 60
Thus,
m∠6 = 2x-5 = 2*60 - 5 = 115
we know that for two parallel lines cut by a transversal
alternate opposite angles are equal
m∠6 and m∠3 are alternate opposite angles
thus
m∠6 = m∠3 = 115 (answer)
Answer:
Around 4800 cubic centimeters.
I hope this was helpful.
Answer:
14
Step-by-step explanation:
assuming that the shirts in the question are the only shirts bought, 2+5 is 7, and the other half would also be 7, making it 14
The objective function of a linear programming model should be to <u>maximize</u> or <u>minimize</u> the numerical value.
<h3>What is the objective function?</h3>
The objective function consists of linear functions which are subjected to constraints in the form of linear equations or in the form of inequalities.
The objective function is always stated as z = ax + by.
The numerical value may be the:
- Cost of a project
- Production quantity
- Profit value
- Materials savings.
Thus, the objective function of a linear programming model, which is always linear, is to <u>maximize</u> or <u>minimize</u> a numerical value.
Learn more about the objective function of a linear programming at brainly.com/question/25828237
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Step-by-step explanation: When an equation has a squared term in it
such as x² - 2x - 63 = 0, it's called a polynomial equation.
The rule for solving a polynomial equation is
to first set it equal to 0, them factor.
Since this equation is already set equal to 0, we can factor the left side.
To factor x² - 2x - 63, look for factors of -63 that add to -2.
In this case, these factors are -9 and +7.
So we have (x - 9)(x + 7) = 0.
When two terms are multiplying together to equal 0,
either one term or the other must equal 0.
So x - 9 = 0 or x + 7 = 0.
Solving for x in each equation, we get x = 9 or x = -7.
So this equation has two solutions and we write out answer
in set notation which looks like this {9, -7}.
