Algebraic Proof
Match the justification to each step of the deductive reasoning about this picture. Please Help!
Answers
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 CE3. 3x + 15 = 6x (Combining like terms)
Rationale: Add 8 and 7 together4. 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
Factorise:
a) 22y -33z b) ax + bx –ay – by
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(b) (a+b)(x-y)
…………………………………
Ada is making fresh orange juice for her family. She discovers that for every 3 oranges she squeezes, she gets 5 ounces of juice. Select all the ratios that have the same constant of proportionality as Ada's observation.
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The ratios that have the same constant of proportionality as Ada's observation 15/9, 30/18
According to the question:
We are required to select all the ratios that have the same constant of proportionality as Ada's observation.let y and x represent amount of juice and oranges respectively;
y = juices squeezed outx = Oranges squeezed iny = k × x5 = k × 35 = 3kk = 5/3
The ratios equivalent to the constant of proportionality is 15/9, 30/18
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Answer:
Step-by-step explanation:
9:15 15:25 6:10
330,000,000,000,000,000,000,000 mass using a one-digit whole number times a power of 10.
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Answer:
Step-by-step explanation:
330,000,000,000,000,000,000,000 has 22 zeros, so we can immediately say
33x10^22
This should be expressed using just a single decimal point, so we can move the decimal point two more spaces to the left, and add 2 to the exponent:
3.33x10^23
The question states a one digit whole number, so make it 3x10^23, although it seems an insult to the 0.33. Go with the one you prefer.
Given the complementary angle of y is 43º. Find the supplementary angle of y
Answers
Step-by-step explanation:
complementary = adds up to 90 degrees.
supplementary = adds up to 180 degrees.
the complementary angle of y is 43 degrees.
so, y = 90 - 43 = 47 degrees.
the supplementary angle of y = 47 is
180 - 47 = 133 degrees
Hello!
Given the complementary angle of y is 43º.
90 - 43 => 47°
Find the supplementary angle of y
180-43 => 137°
I NEED HELP WITH MATH QUESTION PLEASE HELP ME NO LINKS !!!
Answers
Answer:
21.8
Step-by-step explanation:
1.9 + 9 = 10.9
10.9 x 2 = 21.8
Answer:
21.8
Step-by-step explanation:
2×1.9=3.8
2×9=18
total=21.8
If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to the sum of the first two angles, find the measure of each angle.
Answers
Answer:
Answer:first angle = 25 degrees
Second angle = 35 degrees
Third side = 120/degrees
Step-by-step explanation:
The ratios of boys to girls in a class is 6:9. If there are 39 girls in the class, how many boys would be in the class?
Answers
Answer:
6.5
Step-by-step explanation:
6 to 9 so 39 divided by 6 and you get 6.5
Answer:
6:9 in-simplified is 23:39
Step-by-step explanation:
So 6:9 written in lowest terms is 23:39, this is known as reducing fractions.
X According to a survey, 60 sixth grade students at Madison Middle School attended a summer camp. This is 30% of the entire sixth grade. How many students are in the sixth grade?
Answers
Answer: total is 200
Step-by-step explanation:
30% = 60
10% = 60/3 = 20
100% = 200
Aroha is 3 years older than her brother. The sum of Aroha's age and her brother's age is 31. Write and solve and equation to find their ages
Answers
Answer:
Therefore, Aroha is 17 yrs old and her brother is 14 yrs old.
Step-by-step explanation:
Let's represent Aroha's brother's Agee with the letter "b" yrs old.
If Aroha is 3yrs older than her brother, she's : (b+3) yrs old.
The sum of their ages is 31,
b+(b+3)=31
2b+3=31
Collect like terms,
2b=31-3
2b=28
Divide both sides by 2,
b=14
b+3=17
A cheerful teen hoping this helps,
stay techy, brilliant and positive!
ne ajudemmmm pfvvv ...
Answers
Answer:
NEED TRANSLATOR
Step-by-step explanation:
ENGLISH PLEASE
how to solve this.im stuck in this question for 20 mins. Plzz answer
Answers
Answer:
Find the minimum or maximum value of the function g (I) = -3x^2 - 6x + 5. Describe the domain and range of the function, and where the function is increasing and decreasing. > -1 all real numbers The function The maximum value is I < 0 The domain is and the range is right of I left -1 is increasing to the of I= and decreasing to the 0 12 :: yo y0 :: 8 :: IS-1 :: -1 :: 0 :: I> 0 :: 1 :: 8 :: < 0 :: left :: all real numbers :: y -8 :: y < 8 :: y8
Step-by-step explanation:
A city has 3 new houses for every 7 old houses. If there are 21 new houses in the city, how many old houses are there
A. 49
B. 47
C. 52
D. 51
Answers
Answer:
A. 49
Step-by-step explanation:
ratio of houses is 3 new to 7 old
21 new is 7 times more than 3, so 7 will also be 7 times more
so, 21 to 49
I hope that made sense
An employee receives an 8% raise each year. The salary this year is $42,000. Which two expressions will calculate the salary for next year?
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$42,000 + $3,360 = $45,360 salary for the next year
Choose the correct answer to 7,215 divided by 34 with a remainder
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Answer:
0,212205882352941
Step-by-step explanation:
Pls help ::::………..
——-////
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Answer:
you will have $133920 intrest monthly and $151920 in the bank
Step-by-step explanation:
Suppose you give $100 to a bank which pays you 5% simple interest at the end of every year. After one year you will have $105, and after two years you will have $110. This means that you will not earn an interest on your interest. Your interest payments will be $5 per year no matter how many years the initial sum of money stays in a bank account.
4x+8=3
help asap
step by step please
Answers
[tex]4x +8 =3\\\\\implies 4x = - 5 \\\\\implies x = - \dfrac 54[/tex]
Answer:
x= -5/4
Step-by-step explanation:
4x+8=3
4x=3-8
4x=-5
x= -5/4
Please help mee …………..
Answers
Answer: i think its A
Step-by-step explanation:
Let's say that a is 8, b is 17, and c is x,
Maximum:
a + b > c
8 + 17 >c
c < 25
Minimum:
b + c > a
17 + c > 8
c > -9
(As it cannot be negative, we will call this 9.)
So, our answer is D as c, x, must be less than 25 and greater than 9.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
What is the value of x?
A hexagon (6 sides)
133°
112°
x°
120°
128°
100°
please help asap, no links
Answers
Answer:
X is 120° I hope this helps you
Work out the mean for the data set below:
3.4, 5.2, 4.7, 3.5, 0.5
Give your answer as a decimal.
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Answer:
3.4 + 5.2 + 4.7 + 3.5 + 0.5
= 17.3
There are a total of 5 numbers
17.3 / 5
= 3.46
Which answer is an equation in point-slope form for the given point and slope? point: (7, 4); slope: 6.
Answers
Answer: the answer is
y-4=6*(x-7)
Step-by-step explanation:
there are 5 crayons 4 pencils and 6 erasers. what is the number of crayons to total school supplies
Answers
Answer:
5 crayons to 15 school supplies
Step-by-step explanation:
since its supplies in general, add 5 crayons, 4 pencils, and 6 erasers to get 15 total
A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of B. Calculate the bearing of D from B
ONLY ANSWER QUESTION B PLEASE
Giving lots of points
I will give brainlist
NO FRAUDS
Answers
Answer:
213.7°
Step-by-step explanation:
The bearing of B from D is angle ADB, Thus, ∠ADB = arctan(30/45) ≈ 33.7°
The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°
-----------------------------------------------------------------------------------------------------------
Part A: 135
Part B: 213.7
------------------------------------------------------------------------------------------------------------
[RevyBreeze]
MATE!
213.7°
The bearing of B from D is angle ADB, Thus, ∠ADB = arctan(30/45) ≈ 33.7°
The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°
Part A: 135
Part B: 213.7
Please help me, its 3:06am in the morning & i have class in 3 hours :(
Answers
they look the same size but because of the 2 in front meaning it's going to be double than what the real answer it is (and it twelve Ike it's counter part) it would be six... yet someone already answered before me so credits to him.
ANSWER 6
A watt is the basic unit measurement of electrical power. Suppose you are running the air conditioner, the washing machine, the clothing dryer, two computers, four light bulbs, the refrigerator, and two televisions Use the chart at the right and calculate how much wattage you might need in this situation. Show your k = write an inequality that shows what the available wattage must be greater than
Answers
Considerations based on the wattage of the available appliances are required when designing for the electricity.
The required wattage inequality is; Available wattage > 10,460 WattsReasons:
The items used and the possible power consumption obtained from a similar are as follows;
Appliance [tex]{}[/tex] Average power (Watts)
One air conditioner; [tex]{}[/tex] 3,500
Washing machine; [tex]{}[/tex] 500
Clothing dryer; [tex]{}[/tex] 5,000
Computers × 2; [tex]{}[/tex] 70 × 2 = 140
Light bulbs × 4; [tex]{}[/tex] 60 × 4 = 240
Refrigerator; [tex]{}[/tex] 600
Television × 2; [tex]{}[/tex] 240 × 2 = 480
The power, P, in watts that might be needed is found as follows;
Power, P = 3,500 + 500 + 5,000 + 140 + 240 + 600 + 480 = 10,460
The electric power in watts that might be needed, P = 10,460 Watts
Therefore;
The available wattage must be greater than 10,460 Watts
The inequality is; Available wattage > 10,460 Watts
Learn more about electricity design here:
https://brainly.com/question/24786034
deffenition of polynomial function
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Answer:
A polynomial function is a function such as a quadratic, a cubic,a quadratic, and so on, but to sum it up for you the answer is involving only non negative integer power of x.
Ed is on a road trip. He has already traveled 229 miles and is driving at a rate of 68 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 647 total miles?
A.
68x + 647 = 229
B.
229x + 647 = 68
C.
68x + 229 = 647
D.
229x + 68 = 647
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Step-by-step explanation:
THE ANSWER IS D BUT ME 8S NOT SURE
Whoever helps me with this I'll give brainliest and extra points! :)
Answers
What are the options
which expression means the same as subtract from 7 and then multipy by 4
Answers
Answer:7-3x4 subtract 3 from 7 means you need to take 3 out of 7 (7-3) then you need to multiply that by 4! Hope this helped!
Step-by-step explanation:
Answer:
[7-3]4 or [7-3]x4 your welcome hope it helps!
Step-by-step explanation:
please help and show work
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Answer:
Just do scan and solve by brainly really helpful ngl
Step-by-step explanation:
(10). An article marked at 1,200 is sold at an 8% discount . Find the S.P of the article?
Answers
Answer:
$1,104
Step-by-step explanation:
If the discount is 8%, then you would need to subtract 8% (0.08) from 1, which would be 0.92. Now multiply $1,200 by 0.92 and you'll get $1,104.
=================================================
Solution:[tex] \rightarrow [/tex] 1,200 x (100% - 8%)
[tex] \rightarrow [/tex] = 1,200 x 0.92
[tex] \rightarrow [/tex] = 1,104
