Answer:
30.2
Step-by-step explanation
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Answer:
We live in a sad world
Explanation:
This might help a lil :/
Statements:
5. Angle CAD is congruent to angle DCA;
Angle DAE is congruent to angle AED
11. Angle ADC and Angle EDA are supplementary
18. Angle CAE is 90 degrees
20. AE is perpendicular to AC
Reasons:
3. Definition of isosceles triangle
4. Sum of interior angles of a triangle is 180 degrees.
9. Subtraction
16. Definition of complementary angles
21. Converse of Radius-Tangent Theorem
Answer:
- <em>The net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday is -</em><u>2.</u>
Explanation:
The change in the number of bags any day is the number of bags is equal to the number of bags purchased to restock less the number of bags sold that day.
- Change = bags purchased to restock - bags sold
At the end of <em>Tuesday</em>, the change is:
- Change: 6 - 5 = 1 (note that this means that the number of bags increases by 1)
At the end of <em>Wednesday</em>, the change is:
- Change: 12 - 8 = 4 (the number of bags increases by 4)
At the end of <em>Thursday</em>, the change is:
- Change: 12 - 2 = 10 (the number of bags increases by 10)
At the end of <em>Friday</em>, the change is:
- Change: 18 - 19 = - 1 (the number of bags decreases by 1).
At the end of <em>Saturday</em>, the change is:
- Change: 24 - 22 = 2 (the number of bags increases by 2).
At the end of <em>Sunday</em>, the change is:
- Change: 0 - 15 = - 15 (the number of bags decreases by 15).
At the end of <u>Monday</u>, the change is:
- Change: 0 - 3 = - 3 (the number of bags decreases by 3).
The net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday equals the algebraic sum of every change:
- Net change = 1 + 4 + 10 + (-1) + 2 + (-15) + (-3)
- Using associative property: (1 + 4 + 10 + 2) - (1 + 15 +3)
- Simplifying: 17 - 19 = -2
<u>Conclusion</u>: the net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday is -2, meaning that the number of bags, after taking into account all sales and restock, decreases by 2.
Yes. Let's look at PEMDAS. Parentheses, Exponents, <em>Multiplication</em>, <em>Addition</em>, Subtraction. As we can see, multiplication comes first. In -2 + 3x, reading it from left to right, we see the addition symbol first, but because we're supposed to do multiplication, we have to do the 3x first. The same goes for 3x + (-2).
Yes. The two expressions -2 + 3x and 3x + (-2) are equivalent.
Hope this explanation helped you out. :)