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algol13
3 years ago
11

Writing a Two-Column Proof

Mathematics
1 answer:
Ludmilka [50]3 years ago
5 0
For the blank on the left, the answer is "angle ABC" without quotes of course. This is because we're using the substitution property which is the reasoning for statement 4. To elaborate, we connect statement 1 and statement 3 to get to statement 4.

The last statement, statement 5, is simply a repeat of the claim we want to prove. So you'll just copy/paste where it says "prove" as your last statement. Always start with the "given" and end up with "prove" is how I think of it.

The reasoning for the last statement is "definition of congruence". If two angles are congruent, then they have the same angle measure.
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earnstyle [38]
cos (x)  \leq \frac{sin (x)}{x}  \leq 1

Apply limit as x->0
8 0
3 years ago
write an equivalent multiplication expression for 1/4 ÷ 2. then, find the quotient in its simplest form. use a model to support
e-lub [12.9K]

the answer is 0.5/1. which will equal 1/2

7 0
3 years ago
HELP HELP HELP<br> Quick algebra 1 questions
beks73 [17]

<u>Hello:</u>

<u />

<u>Okay, this problem should be taken in a series of steps</u>:

<u>What is the slope's formula?</u>

  \rm\hookrightarrow  \frac{y_2-y_1}{x_2-x_1}

  • (x₁,y₁) -- first point
  • (x₂,y₂) -- second point

<u>Okay, now let's use this knowledge</u>  

10. (5,-19) and (-5,21)

       Slope = \frac{21--19}{-5-5} =\frac{40}{-10}=-4

11. (12,1) and (12, -1)

      Slope = \frac{-1-1}{12-12} =\frac{-2}{0}

12. (8,7) and (4,7)

     Slope = \frac{7-7}{4-7} =0

<u>Answer:</u>

  • Question 10: -4
  • Question 11: undefined
  • Question 12: 0

Hopefully that helps!

5 0
2 years ago
In the coordinate plane, three vertices of rectangle ABCD are A(0, 0), B(0, a), and D(b, 0). What are the coordinates of point C
Rasek [7]
Ans is (b, a)
although we dont kn the values of a and b,
the x coordinate of c must be same as point D,and y coordinate of C must be same as point B.U can draw a graph to help urself understand better

7 0
3 years ago
WidgCo is a company that produces and sells widgets. Let p denote the price per widget (measured in dollars), and let x be the m
Alecsey [184]

Answer:

The answer to this question can be defined as follows:

i) \bold{p(x)= -5x^2+ 217x- 1,401} \\

ii) x=22 units

iii) Maximum profit: 953.45

Step-by-step explanation:

Given value:

p(x) = 211 − 5x \\

C(x) = 1,401 + 16x

The formula for calculating the profit function value:

\to \bold{P(x)= xp(x) - C(x)}

             = x(211-5x)- 1,401 + 16x\\\\= 211x -5x^2-1,401+16x\\\\= -5x^2+ 217x- 1,401 \\

The formula for calculating the value for maximum profit:

p'(x)  =  - 10x + 217 =0

217= 10x\\\\x= \frac{217}{10}\\\\x= 21.7

So, the production level is 22 units

Maximum profit:

\to p(21.7)= - 5 (21.7)^2+217 (21.7) -1,401\\\\

           =-5 (470.89) +217 (21.7) -1,401\\\\=-2354.45+ 4708.9-1,401\\\\= 953.45

7 0
3 years ago
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