Mathematics High School

19. Given: 2c =d-2b, c = a-b. d= a + b; Prove: a = b Statements Reasons 1. 2c = d - 2b 2. c = a - b 3.2(a - b) = d - 2b 4. 2a - 2b = d - 2b 5. d = a + b 6. 2a - 2b = a + b - 2b > 7. 2a - 2b = a-b > 8. a - 2b = -b 9. a = b <

I need help ASAP!​

19. Given: 2c =d-2b, C = A-b. D= A + B; Prove: A = B Statements Reasons 1. 2c = D - 2b 2. C = A - B 3.2(a

Answers

Answer 1

Answer:

1 = Given

2 = Given

3 = Substitution Property

4 = Distributive Property

5 = Given

6 = Substitution Property

7 = Simplify

8 = Subtraction Property

9 = Addition Property

Answer 2

By substituting given c and d values inn the given equation and simplifying we get a=b. Hence, proved.

Given that, 2c =d-2b, c = a-b and d= a + b.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

To prove: d=a+b

Proof:

1. 2c =d-2b (Given)

2. c=a-b (Given)

3. 2(a-b)=d-2b (Substitute c=a-b)

4. 2a-2b=d-2b

5. d=a+b (Given)

6. 2a-2b=a+b-2b (Substitute d=a+b)

7. 2a-2b=a-b

8. a-2b=-b (Transpose a to LHS and simplify)

9. a=b (Transpose a to RHS and simplify)

By substituting given c and d values inn the given equation and simplifying we get a=b. Hence, proved.

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Related Questions

$600 at 5% for 2 years

Answers

Answer:

60

Step-by-step explanation:

600 times 5% = 30

30 times 2 = 60

Answer is 60

BRAINLIEST PLEASE

60 because 5% equals 2

The length of a rectangle is 6 cm more than twice its width. The sum of the length and width is 24 cm What are the dimensions of the rectangle?
Enter your answers in the box.

Answers

Answer:

width:6, length:18

Step-by-step explanation:

You can subsititue width with x.

The length would then be 2x+6.

The value of width and length combined is 24.

The equation would be (2x+6)+(x)=24

Simplify to 3x+6=24

Subtract 6 from both sides giving 3x=18

Simplify to x=6

There's the width. Now you can substitute to find the length.

(6x2)+6=18

I hope this is right.

If the parents of your mom and dad are
your lolos and lolas of the first degree, and
the parents of your lolos and lolas are your
lolos and lolas of the second degree, and so
on, how many lolos and lolas do you have up
until the 6th degree?​

Answers

is this a serious question?

please help?
Find measure of angle C

Answers

Answer:

82

Step-by-step explanation:

Im pretty sure the answer is 82 as it's a striaght line and all you have to do is subtract 180-98

Which shows the algebraic representation of the phrase and its value when n = 4.2? "twenty-eight plus the product of five and a number" 28 minus 5 n; when n = 4.2 the value is 7 28 + 5 n; when n = 4.2 the value is 49 28 n minus 5; when n = 4.2 the value is 112.6 28 n + 5; when n = 4.2 the value is 122.6

Answers

Answer:

when n = 4.2 the value is 49

Step-by-step explanation:

Which shows the algebraic representation of the phrase and its value when n = 4.2?

"twenty-eight plus the product of five and a number"

Where the number = n

28 + 5n

n = 4.2

28 + 5(4.2)

28 + 21

= 49

Answer:

b.

Step-by-step explanation:

Sergio and Allen ate lunch together in the school cafeteria. Each boy ordered a cheeseburger with fries. Sergio only ate 1/7 of his cheeseburger, while Allen ate 3/7 of his cheeseburger. How much cheeseburger did they eat together?

Answers

it's pretty easy to add considering the denominators are the same number. technically in this problem it's 3+1 and then add the denominator which is 7. this makes the answer 4/7

Answer:

4/7

Step-by-step explanation:

The word together symbolizes that we are adding.

We add the numerators but keep the denominator the same since it is already the same.

1+3 is 4, so that is our new numerator.

1            3           4

__    +   __   =   __

7             7          7

Hope this helps!

-AxekickNebulite

What value of x makes the equation 3(x – 6) = 8x – 3(3x + 7) true?

Answers

Answer:

I believe that x = -3/4 makes the equation true.

Step-by-step explanation:

3(-3/4 - 6)=8x - 3(3x + 7) is a true value equation.

I hoped this helped you answer your question.  

Answer:

The answer is -3/4

Step-by-step explanation:

Feel free to give brainliest

Have an amazing day!

Solve for x given BD = 2x + 3 and AE = 6x + 4 . Assume B is the midpoint of overline AC and D is the midpoint of overline CE.

Answers

Answer: 1

From the second sentence, we have AB = BC = CD = DE = y. So AE = 4y and BD = 2y (you can see by drawing a diagram), and AE = 2BD. Substituting 2x + 3 for BD and 6x + 4 for AE in AE = 2BD, we have 6x + 4 = 2(2x + 3), 6x + 4 = 4x + 6. Solving, we see x = 1.

i hope this helped! :D

out of 300 students surveyed 17 have a dog predict how many of the 300 in school have a dog

Answers

Answer:

17/300.

Step-by-step explanation:

17/300 students have a dog.

Answer:

17

Step-by-step explanation:

use ur head. head ur use. done

Ok so if you help out I’ll give that brain thing but you have to put a correct answer thanks :)))

Answers

Answer:

135

Step-by-step explanation:

green = 10 blue and 15 yellow

10*9=90 and 15*9=135

Answer:

135 cups of yellow paint

Step-by-step explanation:

can someone solve 8x + 38 = - 3 ( - 6 - 4x) STEP BY STEP PLEASE

Answers

Answer:

x = 5

Step-by-step explanation:

[tex]8x+38=-3(-6-4x)\\\\8x+38=18+12x\\\\8x+38-38=18-38+12x\\\\8x=12x-20\\\\8x-12x=12x-12x-20\\\\-4x=-20\\\\\frac{-4x=-20}{-4}\\\\\boxed{x=5}[/tex]

Hope this helps!

need help ASAP ,

-40 points

Answers

Answer:

A

Step-by-step explanation:

MK and KM are the same line segment

and JKM and LMK share two angles K and M as well as the side of MK or KM making it a Side.Angle.Side

Evaluate the given algebraic expression for x = 2 and y= 3.
-Зху
-6
-12
-18
-24

Answers

Answer:

-18

Step-by-step explanation:

-3xy,X=2 ,y=3

-3(2)(3)

-3(6)

=-18

Please help thank you so mich


Answers

Answer:

15w = s

Step-by-step explanation:

When you look at the graph, after one week, Michael has earned 15 dollars. So if you're trying to find the amount for w weeks, you would multiply 15 by w to get s, the amount of money in Michael's account.

Hope this helps!

Hedgehog68

If Triangle ABC~trIangle DEC, find the value of x and y."

Answers

Answer:

The right answer would be (D) x = 1.

Step-by-step explanation:

So since triangles ABC and DEC are congruent to each other, your gonna try to find the value of x. So from the figure we know that AB = 4x - 1, BC = 4, AC = 5,  DE = x+2, CE = 4 and EC = 5. And since ΔABC ≅ ΔDEC the corresponding sides would be equal. And after, we will have :

AB = DE

4x - 1 = x + 2

4x - x =2 + 1

3x = 3

x = 1

So, as it shows, the value of x is one. So (D) x = 1 is the right answer. Hope this helped! :)

15-a=20 what is the vaule of a?

Answers

Answer:

15a=20

a=20/15

a=4/3

ok

Answer:

a=-5

Step-by-step explanation:

15-a=20

Solve for a.

15-20=a

-5=a

Please help me
Will mark as brilliant<3

Answers

Answer:

day on will be 5 day two will be 8 day 5 is 17 day 7 is 23

Step-by-step explanation:

which tree was the tallest when it was first planted

Answers

Answer:

Tree c

Step-by-step explanation:

its c lol

a is given (5)

b is given (3)

c says it on the graph at zero months

Which ordered pair is a solution of 3x-y=7?
A. (3,4)
B. (1,-4)
C. (5,-3)
D. (-1,-2)

Answers

Answer:

i think the answer is A or D i think

A class has 7 boys and 10 girls. Select all associated ratios for this class
7:3
7:10
10:7
17:5
7:17
10:17
3.7
10:3

Answers

Answer:

10:17 (girls to total students)

7:17 (boys to total students)

10:7 (girls to boys)

7:10 (boys to girls)

Step-by-step explanation:



10:7
7:10 I think this is right

The vertices of an ellipse are (0,-1) and (8,-1). The endpoints of the minor axis are (4,1) and (4,-3). Write the equation of the ellipse in general form

Answers

Answer:

x^2+4y^2-8x+8y+4=0

Step-by-step explanation:

The general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.

What is an ellipse?

An ellipse can be defined as a shape that looks like an oval circle.

The equation of an ellipse is

[tex]\dfrac{\left(x - h\right)^{2}}{a^{2}} + \dfrac{\left(y - k\right)^{2}}{b^{2}} = 1[/tex]

Where (h, k) is the center a and b are the lengths of the semi-major and the semi-minor axes.

The vertices of an ellipse are (0,-1) and (8,-1).

The endpoints of the minor axis are (4,1) and (4,-3).

The following equations take into account the different properties of an ellipse:

[tex]k = -1k=−1, h^{2} = a^{2}h 2 =a 2 , \left(h - 8\right)^{2} = a^{2}[/tex]

[tex]\begin{cases} b = 2 \\ k = -1 \\ h^{2} = a^{2} \\ \left(h - 8\right)^{2} = a^{2} \end{cases}[/tex]

We get that h = 4 k = -1, a = 4, and  b = 2

The standard form of the given ellipse is

[tex]\dfrac{\left(x - 4\right)^{2}}{4^{2}} + \dfrac{\left(y + 1\right)^{2}}{2^{2}} = 1[/tex]

So the general form will be as : x² +4y² - 8x + 8y + 4 = 0.

Thus, the general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.

Learn more about ellipses here:

brainly.com/question/9448628

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12.
ΥΥΥΥΥ
help please

Answers

Answer:

لطفا دانش مغز بزرگ من تست من قاشق تخم مرغ لاک پشت راه من را از طریق شما

Step-by-step explanation:

Answer:

I believe th e andwer to that is y5

Will give brainliest
What is the measure of angle P in the figure shown here?

Answers

Answer:

48

Step-by-step explanation:

66*2=132

180-132=48

Coach Burns charted the change in his runners’ 5K times from the first race of the year to the second race of the year. Which student improved the most by decreasing the time needed to run the race? PLEASE HELP IM ON A EXAM!!!

Answers

Answer:

student a

Step-by-step explanation:

i just took the exam

The number of patients treated in a dental office each day was recorded for 8 days. Find the mean, median, and mode for this set of numbers.
5, 25, 25, 25, 11, 20, 25, 16
a.
mean: 25, median: 22.5, mode: 19
c.
mean: 19, median: 22.5, mode: 25
b.
mean: 19, median: 25, mode: 22.5
d.
mean: 22.5, median: 19, mode: 25

Answers

Answer:

I don't understand

Step-by-step explanation:

Answer is c.
mean:19,median:22.5,mode:25

The sum of two numbers is 30. One number is 12 more than the other. Find these two numbers.

Answers

Answer:

21 and 9 are the numbers

Step-by-step explanation:

check by doing 21 minus 9, they also add into 30 together. if you haven't already figured it out.

1/2/2/3

Which question can be answered by this expression?


Answers

Answer:

1/2 / 2/3

(1*3) / (2*2)

3/4

Two-thirds of a half equals three-quarters

Answer:

no question

Step-by-step explanation:

it cant thats not an answet

solveeeeweee: y=3*1^2

Answers

Y=3*1^2 well 1^2=1 so 3*1=3 final y=3



can someone help me please

Answers

Answer:

So since ypu already know this just think hard a dig deeper

Step-by-step explanation:

Answer:

rhombus

Step-by-step explanation:

Seven less than 4 times the square of a number is 18. Find the two numbers.

Answers

The two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

Let the unknown number be "x"

The square of an unknown number is expressed as x²

4 times the square of a number  is 4x²

Seven less than 4 times the square of a number is 4x² - 7

If the resulting expression is 18, this will be expressed as 4x² - 7 = 18

Solving the resulting expression

[tex]4x^2-7=18\\4x^2= 18+7\\4x^2=25\\x^2=\frac{25}{4}\\x=\pm \frac{5}{2}[/tex]

Hence the two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

Learn more here: https://brainly.com/question/13805464

Other Questions
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