Which of these values represents the largest distance?
2 answers:
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step 1: Given
step 2: Distributive Property
step 3: Combine Like terms
step 4: Subtraction Property of Order
step 5: Addition property of order
step 6: Division property of order
Step-by-step explanation:
We are given the inequality:
We need to match each step with the reasons.
The given steps are:
1.
−38−3(x+5)>6x−17
So, Reason for step 1: Given
2.
−38−3x−15>6x−17
So, Reason for step 2: Distributive Property
3.
−3x−53>6x−17
So, Reason for step 3: Combine Like terms
4.
−9x−53>−17
So, Reason for step 4: Subtraction Property of Order
5.
−9x>36
So, Reason for step 5: Addition property of order
6.
x<−4
So, Reason for step 6: Division property of order
Keywords: Solving inequalities
Learn more about Solving inequalities at:
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The measure of angle J is 19.8°, and the correct option is D.
<h3>What is the formula of cosine?</h3>The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.
The following formula is used to find the angle j is;
Triangle HIJ has side lengths h=12, i = 17, j = 7.
Substitute all the values in the formula;
Hence, the measure of angle J is 19.8°, and the correct option is D.
Learn more about law cosine here;
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