Mathematics High School

Algebraic Proof

Match the justification to each step of the deductive reasoning about this picture. Please Help!

Algebraic ProofMatch The Justification To Each Step Of The Deductive Reasoning About This Picture. Please

Answers

Answer 1

The following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

3. 3x + 15 = 6x (Combining like terms)

4. 15 = 3x (Subtraction Property of Equality)

5. x = 5 (Division Property of Equality)

6. CE = 6(5) (Substitution)

Recall:

The Segment Addition Postulate states that when a point lies between two endpoints on a line segment, the length of the larger segment equals the sum of the lengths of the two smaller segments formed.

Thus, the following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

Rationale: Plug in the values of CD, DE and CE

3. 3x + 15 = 6x (Combining like terms)

Rationale: Add 8 and 7 together

4. 15 = 3x (Subtraction Property of Equality)

Rationale: Subtract 3x from each side of the equation.

5. x = 5 (Division Property of Equality)

Rationale: Divide each side of the equation by 3).

6. CE = 6(5) (Substitution)

Rationale: Plugging in the value of x into "6x"

Learn more about Segment Addition Postulate on:

https://brainly.com/question/2134445

Related Questions

Oranges cost 85 cents each.
Leo has a $10 note.
Work out the maximum number of oranges he can buy

Answers

Answer:

11

Step-by-step explanation: 100 cents- $1

85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 = 935

935 or 9.35 dollars

85 cents = 1.25

10 / 1.25

8

Graph F(x)=x^2+4 to its function

Answers

Answer:

x2-4

Step-by-step explanation:

got it right

7/3, 8/9, 12/5 order from smallest. please explain me 8/9 as its very confusing. i will give points and brainliest answer to nicly explained answer.

Answers

Answer:

8/9,7/3,12/5

Step-by-step explanation:

8/9 is smallest because the the numerator(upper number)is smaller than the denominator (which is the bottom number)so the value will be smaller than 1 unlike the other two fractions their numerator is bigger than the denominator so the value of them will be bigger than one

Use the graph to determine which statement describes f(x).
5.
y=f(x)
-5
5
--5
O A. f(x) does not have an inverse function, because its graph fails the
vertical line test.
O B. f(x) does not have an inverse function, because its graph fails the
horizontal line test.
c. f(x) has an inverse function, because its graph passes the
horizontal line test.

Answers

Should be D
An inverse of a graph is reflected over y=x

The value of U.S exports to China increased from $1480 million in 2011 to $2768 million in 2012. What was the percentage increase?

Answers

Answer: Percentage increase is 87.02%.

Explanation: Percentage increase is calculated by subtracting the value in 2012 from the value of exports in 2011 and then dividing it by the value in year 2011.

a. Subtract value in 2012 from value in 2011

b. Divide the answer in part a by value in 2011.

c. Multiply the answer in part b by 100.

We have the percentage increase.

mark brainliest pls


x pounds of candy valued at $3.50 per pound is mixed with y pounds of candy valued at $4.30 per pound to produce 10 pounds of a mixture selling for $4 per pound.
Find x and y, the number of pounds of each type.

PLEASE HELP!!!

Answers

Your answer would be 2$ per pound

Geri jogs every fourth day. Sarah jogs along the same path every fifth day. Both girls jog on the path on July 7. What is the next date they will both jog on the path?

Answers

Answer:

The next day they will both run on the path is July 27th.

We can find this by making columns writing every date and seeing when they intersect.

4                    5

8                   10

12                  15

16                 20

20

We can then add this to the current date to find the date they will next run together.

Step-by-step explanation:

hope this helps. . . <3

good luck!      UwU

can someone please assist me in these equations!?!?! pls​

Answers

Answer:

1. -9 because -9x6= -54, -10 because 5 x -10= -50, and x=1 because -2 x 1= -2

Step-by-step explanation:

Answer:

1. = −9

2. = −10

3. = 1

Step-by-step explanation:

x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120

Factor completely given the following factors: (x+5) and (x+3)

There should be 6 factors (2 given, 2 binomials, and 2 trinomials.)
show steps

Answers

Answer:

(x+3)(x+5)(x-2)(x-1)(x^2+2x+4)(x^2+x+1) where the given one is bolded the 2 binomials is italicized  and the 2 trinomials is underlined

Step-by-step explanation:

Soooo I’m kinda confuzzled, I have trouble simplifying decimals..does anyone mind giving a helping hand??

Answers

Answer:

65 miles per gallon.

Step-by-step explanation:

Scale it down. [tex]78:1.2 = x:1.0[/tex] or, solving for x, [tex]x= \frac{78\cdot 1.0}{1.2} = 65[/tex] miles per gallon.

Write the word sentence as an equation. A number divided by -8 is -13​

Answers

Answer:

104

Step-by-step explanation:

-8 * -13 = 104

104/-8=-13

A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice. How much of each ingredient would you need to make 100 quarts of punch?

Answers

Answer:

Step-by-step explanation:

Sparkling grape juice is made with 1.5 quarts sparkling water and 0.75 quarts grape juice. When these two get mixed we get 2.25 quarts sparkling grape juice

So for 2.25 quarts sparkling grape juice we require 1.5 quarts sparkling water

⇒ For 100 quarts sparkling grape juice we require  * 100 quarts of sparkling water

⇒ Sparkling water required for 100 quarts of sparking grape juice = 66.67 quarts

30 - 6 (x + 3) + 2x = 8

Answers

Answer:

I believe the correct answer would be the first X=1 and the second X=1

Basically they both equal 1

Answer:

X=1

Step-by-step explanation:

mabel spent 4 hours editing a 3 minute long video she edits at a constant ratehow long does mabel spent to edit a 9 minute video

Answers

4/3=1.3 repeating

1.3repeatingx9= 12/9

12 hours

If she spends 4 hours on 3 minutes and she has to do 9 minutes you would have to multipy 3 to get 9, then multiple 4 by 3 because what you do on one side you have to do to the other, and you would get 12

Find the X- and Y-intercepts of the given equation: 3x + 5y = 15

Answers

Answer:

Using the slope-intercept form, the y-intercept is 3 Since the equation '3x + 5y = 15' is transformed to slope-intercept form 'y = (-3/5)x + 3' the slope is (-3/5).

If a box has a volume of 456 cubic inches, with the length of 1 foot and a height of 4 inches, what is the width of the box?

Answers

9.5 inches
456 divided by the height of 4 inches is is 114 inches
Then dividing 114 by the length of 12 inches (1 foot) you get the width which is 9.5 inches

Simplify x^3 divide by x^2

Answers

The answer would just be x

Write the equation of line with slope of -3, passing through (-1,7) . write in slope -intercept form.​

Answers

Hello there, hope you are having a nice day.

We are given the slope of the line and a point on the line, so we can write the equation in point-slope form:

y-7=-3(x-(-1)

y-7=-3(x+1)

y-7=-3x-3

Now, we move -7 to the right side, using the opposite operation:

y=-3x-3+7

y=-3x+4

This is the equation of our line. Hope it helps.

Ask me if you have any queries.

~An emotional teen who helps others with joy

Good luck.

how to write the ration 4.5 : 2.25 in the form n:1

Answers

Answer:

2:1

Step-by-step explanation:

Change the ratio to a fraction

4.5/2.25

Simplifying it gives us

2/1

Change back to ratio form

2:1

Please help, thank you in advance​

Answers

Answer:

Solution

9

1

3

6

Step-by-step explanation:

As water evaporates from a bucket, its weight changes at a rate of -11/4 ounces per day.
what's the answer?

Answers

Answer:

the five differences are 24.88

About how many miles is 100,00 ft? HELP ASAP!

Answers

Answer:

18.939394miles

this is the correct answer happy

Help me with this very confused

Answers

Answer:

[tex] \frac{3 - 5x}{2} [/tex]

Step-by-step explanation:

Set g(x)=y

y=-2/5x+3

5y=-2x+3

2x=3-5y

x=3-5y/2

So g^-1(x)=

[tex] \frac{3 - 5x}{2} [/tex]

Carlo think he will go to the gym about 20 times a month.Calculate how much each of these options would cost carlo for one month. pay as you go



pay as you go. $______________



regular deal. $_______________



All-in-one price. $______________​

Answers

20 divided by 4 is 5 so

4$ will be for pay as you go.

5$ will be for regular deal

4+5=9 so the all in one deal is 9$

What is 8.798 rounded to the nearest cent

Answers

Answer:

For some reason i couldn't add an answer, but it 8.80 because 9 was rounded to 10 and changed the 7 to 8.

Step-by-step explanation:

Mr.Thomson wants to protect his garage by installing a flood barrier. He connects 2 barriers side by side. Each barrier is 9 feet high. What is the combined area of the barriers

Answers

Answer:

300 ft

Step-by-step explanation:

How many 1 1/2 cup servings are there in 12 cups of juice?

Answers

Answer:

8, 1 1/2 cup servings in 12 cups of juice.

Step-by-step explanation:

I just divided 12 by 1.5

Is this graph misleading?
People of different ages were asked the question "Do
you listen to audiobooks?" The bar graph below
displays the percentage of "yes" responses for
different age groups.
O No, because the bars are all the same width.
O No, because the scale starts at 0.
O Yes, because the bars are not the same height.
O Yes, because the scale does not start at 0.
Audiobook Listeners
0.50
0.40
0.30
Relative Frequency
0.20
0.10
13-17
18-25
36-45
Over 45
26-35
Age

Answers

Answer:

D. Yes, because the scale does not start at 0.

Step-by-step explanation:

100 IF U GET THIS RIGHT!

Answers

Answer:

Feeling like an addict that ain't had it, up and at it in a minute

If it hadn't been invented, my limit wouldn't be infinite

I'm feeling like an infant in a womb

I'ma be here 'til the tomb

Lately I've been in my room

Lookin' and lookin' at records on the wall

Hold up

Answer:

Slope:  

7

y-intercept:  

(0,2/5)

Step-by-step explanation:

SOMEONE PLEASE ANSWER‼️‼️‼️ILL MARK BRAINLYEST PLEASE ‼️‼️
In the triangle LMN, LM = 13, MN = 17, LN = 10. Which is the largest angle?

A. LNM
B. LMN
C. This cannot be determined
D.MLN

Answers

Answer:

b. LMN

Step-by-step explanation:

The angle opposite to the largest side is the largest angle, which means that angle MLN is the largest angle. Hence, option D is correct.

What is an angle?

Two lines converge at a location, creating an angle. An "angle" is the term used to describe the length of the "opening" between these two rays. The letter is used to represent it. Angles are frequently expressed in degrees and radians, a unit of roundness or rotation.

The given lengths of the sides are,

LM = 13

MN = 17 and LN = 10

Then, the angle which is opposite to the side MN will have the greater angle then angle MLN has the greater angle.

To know more about Angles:

https://brainly.com/question/28451077

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