Statement 1: and are vertical angles
Reason 1: Given
We basically just restate the given information word for word. This is true of any two column proof.
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Statement 2:
Reason 2: and are a linear pair
The term "linear pair" means the angles are adjacent and supplementary (they form a straight line), so this is why the two angles add to 180.
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Statement 3:
Reason 3: and are a linear pair
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Statement 4:
Reason 4: Substitution
Each of the equations formed in statements 2 and 3 above have 180 on the right side, so the left hand sides must be the same
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Statement 5:
Reason 5: Subtraction property of equality
We subtracted the quantity from both sides (they go away)
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Statement 6:
Reason 6: Definition of congruence
If two items are congruent, then they have the same measure. In other words, they are the same.
You can just input the value of -3 into the equation to find value of k.
0=2(-3)^3 + 3(-3)^2 +3k -27
27= -54 +27 + 3k
27= -27 = 3k
27+27 = 3k
54/3 = k
18 =k
Hope I helped :)
Answer:
80 students
Step-by-step explanation:
Given that,
Total number of students in 5th grade = 120
Two-thirds of the 5th graders are wearing sneakers today.
Let there are x graders wearing sneakers today.
Hence, 80 students are wearing sneakers today.
An exponent is a number that is used to multiply the base number by itself. If your number is 4 to the power of two you need to multiply four by four to get sixteen