The reason behind the statement m∠TRS + m∠TRV = 180° is; Angle Addition Postulate
<h3>How to use angle addition postulate?</h3>
Angle addition postulate states that if D is the interior of ∠ABC, therefore, the sum of the smaller angles equals the sum of the larger angle, which from the attached image is;
m∠ABD + m∠DBC = m∠ABC.
From the attached image, we want to prove that x = 30°.
Now, T is the interior of straight angle ∠VRS.
m∠VRS = 180° (straight line angle)
Thus, from angle addition postulate, we can say that;
m∠TRS + m∠TRV = 180°.
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The points which satisfy the inequalities in discuss are; Choices D (7,10) and F(8,17).
<h3>Which points omg the answer choices satisfy the system of inequalities?</h3>
It follows from the inequality; x > 5.
Also, substituting 5 for x in; y < 2(x); we have;
y < 10.
Hence, the points which satisfy the inequalities are; (8,17) and (7,10).
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Answer:
Function:
Amount earned for 10 hours of work:
Step-by-step explanation:
Let be "x" the number of hours worked on a project and "y" the total amount Luigi charges for a project.
Based on the data given in the exercise, you can identify that:
- $140 is a fixed amount.
- For each hour worked on the project, Luigi charges $25. This can be expressed as:
Then, the total amount he charges for a project is the sum of $140 and . This can be represented with the following function:
To calculate the amount of money earned for 10 hours of work, you must substitute into the function and evaluate. Then: