i am trying to remember how to do Write a two-column proof,


Given: a = 2b + 6

a = 9b - 8


Prove: b = 2

Answers

Answer 1

9514 1404 393

Explanation:

Make use of the properties of equality.

  a = 2b +6 . . . . . given

  a = 9b -8 . . . . . given

  2b +6 = 9b -8 . . . . . . . substitution property of equality

  6 = 7b -8 . . . . . . . . . . . subtraction property of equality

  14 = 7b . . . . . . . . . . . . . addition property of equality

  2 = b . . . . . . . . . . . . . . . division property of equality

  b = 2 . . . . . . . . . . . . . . symmetric property of equality


Related Questions

Martin traveled at an average rate of 40 miles per hour for the first half of his trip. For the second half of his trip, he traveled at a rate of 60 miles per hour. How far did he travel in the 4-hour trip?

Answers

Answer:

Total distance traveled = 200 miles

Step-by-step explanation:

Total time taken for the trip = 4 hours

∴ The trip can be divided into two halves of 2 hours each.

1st half:

speed = 40 miles per hour

distance = speed × time

when time = 2 hours

distance = 40 × 2 = 80 miles

2nd half:

distance = speed × time

speed = 60 miles per hour

time = 2 hours

∴ distance = 60 × 2 = 120 miles

Combined distance traveled = 80 + 120 = 200 miles

help !!! 50 point!!! and brainliest
ITS BASIC POLYGONS :(

please give Sensible answer :'(
URGENT!!!!​

Answers

1) C 2) 62° 3) 60° 4) 80° it’s super easy once you understand but in a triangle if you add all the inner angles they’ll always be 180. Also to find the outer angle all you have to do is add the two inner angles that don’t touch it like that aren’t near it so in number 2 you would add 43 and 19 to find x. For number three you have to subtract the inner angle from the outer angle to find x. For number 4 it shows you that two angles are equal and you know that the sum of the two angles is the outer angle so you divide 160 by 2 and you’ll get 80. I also attached my notes hopefully they’ll help :)

The table shows the number of coins Kaitlyn has.
penny
4
nickel
9
dime
3
quarter
5
Write the ratio of dimes to all coins that Kaitlyn has as a
fraction in simplest form.

Answers

answer: 1/7

explanation: she has 3 dimes so that is the numerator. add up all the total coins she has to get 21 for the denominator. you get 3/21. to simplify, divide both numerator and denominator by the common factor 3.

don’t know if it’s 100% correct but hoped it helped in some way! :)

Share 3200 ml of water in the ratio 4:1:3​

Answers

Answer:

1600 ml, 400 ml, 1200 ml

Step-by-step explanation:

Given ratios are: 4:1:3

Let the shares of the given ratios be 4x, x, 3x

[tex] \therefore \: 4x + x + 3x = 3200 \\ \\ \therefore \: 8x = 3200 \\ \\ \therefore \: x= \frac{ 3200}{8} \\ \\ \therefore \: x=400 \\ \\ \implies \\ 4x = 4 \times 400 = 1600 \\ \\ 3x = 3 \times 400 = 1200 \\ \\ [/tex]

pls help im so behind

Answers

Answer:

Step-by-step explanation:

3(\sqrt(25)-10)+5  = -10

It's B 3(√25 -10)+5

Answer:

D

Step-by-step explanation:

it is because the brackets at B makes sense when you calculate individually

The new Kyrie 5's Pineapple House shoes came out yesterday. (FOR REAL) They cost $200, but you have a 20% off discount. How much is your discount?

Answers

The answer is a $40 discount


Janiya received a 20% discount on the purchase of a $649 cell phone. What was the
amount of the discounT

Answers

Answer:

$129.80

Step-by-step explanation:

Discount:   .20 * 649 = 129.80

Answer the question belowww

Answers

You didn’t put no question to answer

Linear parent function f(x)=x is graphed on the grid. Which graph best represents
h(x) = -f(x) + 3

Answers

Answer:

See graph image

Step-by-step explanation:

If f(x)=x, and we substitute f(x) into h(x), we get h(x)=-(x)+3. The graph of -x+3 is shown in the image attached.

The graph which best represents the function; h(x) = -f(x) + 3 is the graph of h(x) = -x + 3 as in the attached image.

The function, f(x) is given as; f(x) = x.

However, the required graph is the graph of;

h(x) = -f(x) + 3

where, f(x) = x.

Therefore,

h(x) = -x + 3

Therefore, the graph of h(x) has intercept, h(x) = 3 and slope, m = -1 as in the attached image.

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how do u solve (2d-5)/2 = (5d+2)/9

Answers

Answer:

D=  49/8

Step-by-step explanation:

Cross-multiply.

(2d-5)/2 = (5d+2)/9

(2d−5)*(9)=(5d+2)*(2)

18d−45=10d+4

Subtract 10d from both sides.

18d−45−10d=10d+4−10d

8d−45=4

Add 45 to both sides.

8d−45+45=4+45

8d=49

Divide both sides by 8.

d=  49/8

So the answer is 49/8

I hope it's right!

2. 112, 4
1. A(0,0), B(2, 2), C(-2, 0). D(1, -2)
2
3. P-3.3), (1.2). R(3.-3), S(1.-3).
4. D(2.

Answers

Answer: 1,3

Step-by-step explanation:

Select the correct answer. Which set of coordinates satisfies the equations 3x-2y= 15 and 4x - y = 207 OA (2-7) OB (1.6) OC (5.0) OD. (0,75).​

Answers

Answer:

C.) (5,0)

Step-by-step explanation:

You see where the lines cross together. That will be the answer.

Select all angles that MUST be congruent to 2

Answers

Answer:

Step-by-step explanation:

2 14 17 18 13 6 9 23 21  11  8 6 9  14

This answer assumes that the middle horizontal line is parallel to the other two horizontal lines. It that is not true 14 11 must be removed.

4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.
Answer the questions below.
(a) Write a function, A(t), that represents the value
of this investment t years after Alex's birth.
(b) Use your equation to determine how much the
investment will be worth when Alexander turns
21
Please help me

Answers

Answer:

A)    A(t) = 5000(1 + 0.012)t

B)    A(t) = 106260

Step-by-step explanation:

A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.

B) When we plug 21 into the equation,  we get 106260.

I hope this helps!

Find the longest segment △QRS.

Answers

Answer:

QR is the longest segment.

Step-by-step explanation:

The longest side of a triangle is opposite to greatest angle.

m∠QSR = 75° ⇒ QR is the longest segment.

Tom”s family of 4 went out to dinner. They spent 46.40 for the meal. They left a tip of 15% and the tax rate is 7 1/4%. What was the total cost of the dinner

Answers

Answer:

$57.22

Step-by-step explanation:

Total before Tax: $46.40

Tax rate: 3.36

After 7 1/4 Tax:  49.76

Tip: $7.46

Total: $57.22

Hope this helped! Have a great day!

We're doing writing equations with Point & Slope
through: (5,1) slope= 4/5
good luck lol

Answers

Answer:

y = 0.8x - 3

Step-by-step explanation:

See attached screenshot solution using Desmos

Factor 24x−20 using the GCF.

need it asap!

Answers

Answer:

The factor is 4.

Step-by-step explanation:

You can divide both 24 and 20 by 4, leaving you with 6x-5.

Highest common factor should be 4.

Given that,

The equation is 24x - 20.

Based on the above information, the calculation is as follows:

Here 24 and 20 should be divisible by 4

So,

= 4(6x - 5)

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A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people,64 had a mild allergic reaction. What percent of the people had a mild allergic reaction?? Need ASAP

Answers

Answer:

1.25% of all the 8,000 people who tried the shampoo had a mild allergic reaction

Step-by-step explanation:

Divide 8,000 by 64 to get the unsimplified percentage

Then put a dot between 1 and 2 to get the percentage to get the percentage, 1.25%

Which table represents a proportional relationship?

Answers

Table 2 represents a proportional relationship because if you divide 3 divided by 2 you get 1.5 and you will get the same for 4.5 divided by 3, 6 divided by 4, 7.5 divided by 5

what is..
y=x+3 and y=-1/2x-3

Answers

Answer: (-4, -1)

Step-by-step explanation:

will give brainlist please help balancing equations

Answers

Answer:

cant

Step-by-step explanation:

HELP PLEASEEEEEEE ASP!!
WILL GIVE BRAINLIEST ❤️

Find the slope of the line passing through the given
points using the slope formula. Describe the slope as
positive, negative, zero, or undefined.
(-7, -18) and (-7,-4)

Answers

Answer:

Step-by-step explanation:

Slope formula= rise over run, or y2-y1 over x2-x1

y2=-4 y1=-18 x2=-7 x1=-7

-4-(-18)/-7-(7)

-22/-14 negative

Answer:

7/11

Step-by-step explanation:

the slope is positive. tell me what happens

what is the LCM of 80 and 60​

Answers

Answer:

240

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

What I do is I first multiply the two numbers...

(60 * 80 = 240)

From there I try and find if there is any number lower than the product of these two numbers... if there isn't... then the product is the LCM

Since the only factor between 80 and 240 is 160... that is the only other possible answer... since 160 is not a multiple of 60... the answer can only be 240.

I hope this helps and wasn't too confusing:)

An angle measures 48 degrees. What is the measure of its supplement?

(b) An angle measures 43 degrees. What is the measure of its complement?
there are 2 parts supplement and complement plz answer both

Answers

Answer:

Supplement: 132

Complement: 42

Step-by-step explanation:

I don't really have an explanation, the answer just came to me...Sorry. But hope this helps!

Answer:132

Step-by-step explanation:180-48

I NEED HELP!!!!
(3.2 x 10^4)(1.4 x 10^2)

Evaluate each expression Express result in scientific notation

I need help learning to do this IM GIVING EXTRA POINTS!!!

Answers

Step-by-step explanation:

So Scientific Notation is like this.

Ya got a big number that has of 0s . Let's just throw out 69,000,000,000,000

You take the other numbers that arent 0s. Take the first number and put a "." in between it and the second number. So, in this case, you have 6.9, like this.

You then count the number of 0s and +1. So in this case, you'll have 12+1. Which is 13.

You then take the 6.9 and note it with a *10. You then take the 13 and put it on the 10 as an exponent. So in the end youll have 6.9*10^13.

Hopefully, this helps.

With love,

A G 4 2

What is the exact value of Tangent (StartFraction pi Over 12 EndFraction)

Answers

Answer:

a

Step-by-step explanation:

just did it and got right

The required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operation.

Let,

= [tex]tan(\pi /12) = tan((3-2)\pi /12)[/tex]
[tex]= tan[(3\pi -2\pi )/12]\\=tan(3\pi /2-2\pi /12)\\=tan(\pi /4-\pi /6)\\=\frac{tan(\pi/4)-tan(\pi/6)}{1+tan(\pi/4)tan(\pi/6)}[/tex]
= [tex]\frac{1-1/\sqrt{3} }{1+1*1/\sqrt{3} } \\[/tex]
[tex]=\frac{(\sqrt{3}-1)/\sqrt{3}}{(\sqrt{3}+1))/\sqrt{3}}[/tex]
[tex]=\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)}\\=\frac{(\sqrt{3}-1)(\sqrt{3}+1)}{(\sqrt{3}+1)(\sqrt{3}+1)}\\=\frac{(3-2\sqrt{3}+1)}{(3-1)}\\\\=\frac{(4-2\sqrt{3})}{(2)}\\={(2-\sqrt{3})}\\[/tex]


Thus, the required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.


Learn more about trigonometry equations here:

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Hi, PLEASE DO NOT REPORT. THIS IS FOR MY LEADERSHIP CLASS IT'S VOLUNTEER FRIDAY. PLEASE BE APPROPRIATE
Ok so, Hi again this is for the people who are stressed, overwhelmed, and or are under a lot of pressure. comment/answer down below what your stressed, overwhelmed, and or are under a lot of pressure and just talk about it really helps to talk about your problems. You'd feel better about almost like you have some weight lifted off your shoulders.

Answers

Answer:

I am stressed about the extreme amount of homework that each of my teachers give me. It is like they don't take into account our mental health. To add on to stress my parents are constantly on me about my grades and my future. I cry at least every night about my homework.

Step-by-step explanation:

2x+3y=122, x, plus, 3, y, equals, 12
Complete the missing value in the solution to the equation.
((left parenthesis
,8),8)

Answers

she me he sid sud iebe Howie

If f(1)=7f(1)=7 and f(n)=f(n-1)+2f(n)=f(n−1)+2 then find the value of f(4)f(4).

Answers

Answer:

Step-by-step explanation: f1 =7

f2 = 5(7) + 2 = 37

f3 = 5(37) + 2 = 27

f4 = 5(9) + 2 = 47____

The value of f(4)f(4) f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2 is,

121.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2.

By this pattern,

f(4)f(4) = [f(4 - 1) + 2f(4)][f(4 - 1) + 2f(4)].

f(4)f(4) =  [f(3) + 2f(4)][f(3) + 2f(4)].

f(4)f(4) =  [f(3) + 2(4)][f(3) + 2(4)].

f(4)f(4) =  [3 + 8][3 + 8].

f(4)f(4) =  [11][11].

f(4)f(4) =  121.

learn more about functions here :

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