The given statement is a false statement because -12 is not equal to -15 and also -15 is less than -12 which are correct answers would be Options (A) and (D).
<h3>What is inequality?</h3>
Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The given statement as:
⇒ -12 ≤ -15
Since -12 and -15 are not equal and -15 is smaller than -12, the preceding statement is incorrect.
So the following statements are correct:
It is a false statement because -12 is not equal to -15.
It is a false statement because -15 is less than -12.
Hence, the given statement is a false statement because -12 is not equal to -15 and also -15 is less than -12 which are correct answers would be Options (A) and (D).
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Answer:
3) 16.2
Step-by-step explanation:
The supplement to the 115° angle on the right is 65°, the same as the angle at upper left. The vertical angles at C are the same measure, so this tells you that the two triangles FCB and ACD are similar by the AA similarity postulate. That being the case, corresponding sides are proportional:
CB/CD = CF/CA
CB = CD·CF/CA = 7.2·21.6/9.6
CB = 16.2
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When given two "point-to-point" triangles like this, quite often there is some sort of similarity relationship involved. First, you need to figure out what it is; then you need to make use of it as needed to answer the question being asked.
The net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.
<h3>How to compute the net profit?</h3>
Case A:
Based on the information, the price of fertilizer will be:
= 0.25 × 100 × 50
= $1250
Price of wheat = 3.50 × 50 × 50
= $10500
Net profit = $10500 - $1250
= $9250
Case B:
Price of fertilizer will be:
= 0.50 × 70 × 50
= $1750
Price of wheat = 4.50 × 50 × 50
= $11250
Net profit = $11250 - $1750
= $9500
Therefore, the net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.
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Answer:
35
Step-by-step explanation: