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atroni [7]
4 years ago
6

Complete the two-column proof

Mathematics
1 answer:
In-s [12.5K]4 years ago
3 0

Answer:

hope this helps

Step-by-step explanation:

a. substitution prop

b. def. of supplementary angles

c. given

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Which of the following equations have the same solution? Give reasons for your answer that do not depend on solving the equation
topjm [15]

<u>Answer:</u>

A,C and E are equal with 4 as their solution; F and B are equal with 0 as their solution. D is independent.

<u>Solution:</u>

A. -(7-4x)=9

Taking off the brackets we get,

-7+4x=9 \Rightarrow +4x=9+7

\Rightarrow 4x=16 \\

\Rightarrow x=\frac{16}{4} \Rightarrow 4

Here x=4 --- (a)

B. 12=-4(-6x-3)

Multiplying -4 inside we get,

12=+24x+12 \Rightarrow 12-12=24x

\Rightarrow x=0

Here x=0 --- (b)

C. 5x+34=-2(1-7x)

Multiplying -2 inside we get,

5x+34=-2+14x

Grouping the terms,

34+2=14x-5x \Rightarrow 36=9x

\Rightarrow x=4

Here x=4 --- (c)

D. 14=-(x-8)

\Rightarrow 14=-x+8 \Rightarrow -x=14-8

\Rightarrow x=-6

Here x=-6 --- (d)

E. -8=-(x+4)

\Rightarrow -8=-x-4 \Rightarrow x=8-4

\Rightarrow x=4

Here x=4 --- (e)

F. x+5=-5x+5

\Rightarrow x+5x=5-5

6x=0 \Rightarrow x=0

Here x=0 --- (f)

So, from the above calculations we can conclude that (a), (c) and (e) are equal and (f) and (b) are equal but (d) is independent because it has a different solution.

5 0
4 years ago
A salesperson earns nine percent commission on sales. The equation for the amount he or she earns in commission is, where s is t
Evgesh-ka [11]
  • The amount in commission he or she earns If the amount sold is $6,000 is; $540

  • And this can be written in ordered pair form as; ($6000, $540)

According to the word problem question;

If the salesperson earns 9 percent commission on sales;

In essence, 9/100 of the sales proceedings belongs to the salesperson.

Mathematically; the equation for the amount he or she earns in commission is;

  • c = 0.09s

  • where; c = commission and s = amount sold.

Consequently, if the amount sold is $6,000;

The amount he or she earns in commission is;

  • c = 0.09 × $6,000

c = $540.

The answer in ordered pair form is therefore;

(s,c) = ($6000, $540)

Read more:

brainly.com/question/18738793

7 0
3 years ago
What is y- 8= - 1/2(x+4) in standard form?
scoundrel [369]
For the answer to the question above asking  <span>What is y- 8= - 1/2(x+4) in standard form?

</span>y-8=-1/2x + (-2)
  +8               +8
y=-1/2x +6
I just used a 2 step equation for it. I first used Distributive Property. Then Subtracted 8 from each side.
i hope my answer helped.
3 0
4 years ago
the members of senior class are planning a dance. they use the equation s=2r+t/x to determine the total receipts. what is r in t
Deffense [45]

Answer:

r = 1/2(s -t/x)

Step-by-step explanation:

Here, we simply want to make r the subject of the formula;

We proceed as follows;

s = 2r + t/x

s - t/x = 2r

Divide both sides by 2

r = 1/2(s - t/x)

6 0
3 years ago
Does the table represent an exponential function? Yes or No.
igor_vitrenko [27]
With the given data, the first step to take is to use MS excel to plot the data then determine the trendline in which the equation's r2 value is closest to 1. From the plot obtained from Excel, the plot is a second degree polynomial and not an exponential function. the answer hence is no.
7 0
4 years ago
Read 2 more answers
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