Find x so that a is parallel to b. state the converse used​

Find X So That A Is Parallel To B. State The Converse Used

Answers

Answer 1

Answer:

x = 7

If a is parallel to b, then 9(7) + 11 = 74.

Step-by-step explanation:

We don't know if the lines are parallel, so we need to see what x is in 9x + 11 = 74, then substitute that value for x in the equation. If both sides are true, the two lines are parallel.

9x + 11 = 74

Step 1: Subtract 11 from both sides.

9x = 63

Step 2: Divide both sides by 9.

x = 7

To make sure, let's substitute 7 for x in the earlier equation.

9(7) + 11 = 74

Step 3: Multiply 9 by 7 to get 63.

63 + 11 = 74

Step 4: Add 11 to 63 to get 74.

74 = 74

The two sides are equal, so a and b are parallel. The definition of a converse is the reverse of a conditional statement. As a result, the converse here is "If a is parallel to b, then 9(7) + 11 = 74."


Related Questions

What is the slope of the line that passes through the points (-4, 8) and (-14, 8) ? Write your answer in simplest form.

Answers

Answer:

the slope is 0

Step-by-step explanation:

Answer:slope, m=0

Step-by-step explanation:

using the slope formula m=y2-y1/x2-x1

m=8-8/-14-4 = 0/-10

m=0

find the equation of the line passing through (2,3) and (1,5)

Answers

Answer:

y =-2x+7

Step-by-step explanation:

Hello : let  A(2,3)    B(1,5)

the slope is :   (YB - YA)/(XB -XA)

(5-3)/(1-2)  = 2/-1 =-2

an equation is : y=ax+b     a is a slope

y = -2x +b

 

the line through point  (2,3) :  3 = (-2)(2)+b    

b = 7

the equation is : y =-2x+7    

8m/3 if m = 12
Evaluate

Answers

The answer would be 32 because when you plug in the value for m, it becomes 8(12/3) then divide the 12 by 3, then multiply 8 by 4.

PLEASE HELP ASAP!!!!

Tyra made 8 fewer jackets than zack they made 48 jackets altogether how many jackets did zac make

Answers

Answer:

Zac Made 28 Jacket

okay have a nice day.

Briana used two congruent parallelograms and a square to create the figure shown. What is the areaa of the figure Briana created in square feet?

A. 27ft²
B.24 3/4 ft²
C.67 1/2 ft²
D.33 3/4 ft²​

Answers

Answer: the answer is D

Step-by-step explanation: I got it right

PLEASE HELP!!! DUE SOON!!!

Answers

Answer: x=0

Step-by-step explanation: 0=-x^7

-x^7=0

x^7=0

so answer is : 0

6xy^3 * 4x^2y^2 answer​

Answers

6x y³ × 4x² y²
=

24 x¹+² y³+²
=
24x³ y⁵


how do I solve this puzzle? ​

Answers

Answer: use division

Step-by-step explanation:

The number of hospitals in a certain country has been declining for many years. In 2014, there were 5,727 hospitals, but, in 2017, there were only 5,571. Assuming this trend is linear, write an equation for the number of hospitals H in the this country t years since 2000.
H=

Answers

Answer:

H = -52t + 6455

Step-by-step explanation:

2014 is 14 years since 2000. That gives you the point (14, 5727).

2017 is 17 years since 2000. That gives you the point (17, 5571).

Since we have two points in the line, we can find the equation of the line.

y = mx + b

m = slope = (difference in y)/(difference in x)

m = (5571 - 5727)/(17 - 14) = -156/3 = -52

y = -52x + b

Now we use one of the points for x and y, and we solve for b.

5727 = -52(14) + b

b = 6455

The equation is

y = -52x + 6455

Using H and t, we have

H = -52t + 6455

The relationship between the number of hospitals and the years, is a linear function.

The equation for the number of hospitals is: [tex]H = -52t + 6455[/tex]

Let

[tex]t \to[/tex] years since 2000

[tex]H \to[/tex] number of hospitals since 2000

So, we have:

[tex](t_1,H_1) = (14,5727)[/tex] ---- 2014

[tex](t_2,H_2) = (17,5571)[/tex]

Calculate the slope (m)

[tex]m = \frac{H_2 - H_1}{t_2 - t_1}[/tex]

This gives:

[tex]m = \frac{5571 - 5727}{17-14}[/tex]

[tex]m = \frac{-156}{3}[/tex]

[tex]m = -52[/tex]

The linear equation is then calculated using:

[tex]H = m(t - t_1) + H_1[/tex]

So, we have:

[tex]H = -52(t - 14) + 5727[/tex]

[tex]H = -52t + 728 + 5727[/tex]

[tex]H = -52t + 6455[/tex]

Hence, the equation H is: [tex]H = -52t + 6455[/tex]

Read more about linear equations at:

https://brainly.com/question/11897796

Who wants a foot cream pop tart

Answers

Answer:

ThAt sOunDs dEliCiOus

Step-by-step explanation:

Psych it sounds awful lol

me i want a foot cream pop tart

The average score in an examination taken by 52 students of a class is 85. If the scores of the best 5 performers are not considered, the average score of the remaining students falls by 2. If, none of the first five highest scorers is not below 80 and if each of the 5 top scorers had distinct integral scores, find the maximum possible score of the topper.​

Answers

Answer:

177

Step-by-step explanation:

If the top 5 performers are not considered, the average drops by 2.

Thus,average without top 5 performers = 85 - 2 = 83

Total scored with 5 table toppers = 52 × 85 = 4420

Total scored without 5 table toppers = 47 × 83 = 3901

Total scores of top 5 table toppers = 4420 - 3901 = 519

We are told that each of the 5 top scorers had distinct integral scores.

Also, all of them will score greater than 83.

Thus,possible maximum score of table topper = 519 - (84 + 85 + 86 + 87) = 177

WILL MARK BRAINLIEST

The Miller family and the Adams family both purchased houses on the same day several years ago
The Miller family bought their house for S159,352 and it has been increasing in value by 3.7% each year.
The value of the Adams family's home since it was purchased, A(z) can be modeled by the function A(z) = 142, 809(1.04)", where a represents the number of years since the house was purchased
PartA) Which family paid more for their house?
Part B) Which family's home value is increasing at a faster rate?

Answers

Answer:

Part A: Which family paid more for their house? And at what cost.

The Miller family

Part B: Which family’s home value is increasing at a faster rate?

The Adams family

Step-by-step explanation:

The area of a rectangle is 36 square inches, and its perimeter is 26 inches. What are the length and width of the rectangle?

Answers

Answer:

9 and 4

Step-by-step explanation:

What is the product?
(X^4)(3x-2)(4x2 +5x)?

Answers

Answer:

12x^7+7x^6-10x^5

Step-by-step explanation:

(X^4)(12x³+15x²-8x²-10x)

(X^4)(12x³+7x²-10x)

12x^7+7x^6-10x^5

please help geometry

Answers

Answer:

(1,2)

Step-by-step explanation:

Who dunnit in math there is 10 problems

Answers

Answer:

make it make sense

Step-by-step explanation:

Beach balls are very popular at
Sam's Swim Shop. He decides to
begin charging 40% more. If he
originally charged $5.50, by how
much will he increase the price?

Answers

Answer:

7.70

Step-by-step explanation:

40% of 5.50 is 2.20

2.20 + 5.50 = 7.70

Sam will start charging $7.70 (C)

Question 16
If n = 6, what is the value of 9n – 4?
Α.
11
B.
50
С
52
D
54

Answers

9n-4

9(6)-4

54-4

50

Option B

Answer is Option B) 50

9(6)-4

54-4

50

What is the next term in the pattern 0.4,0.8,1.2,1.6?

Answers

Answer:

2.0

Step-by-step explanation:

increase by 0.4 in each term.

A dog is tied with a rope to a stake in the ground. The length of the rope is 10 yards.
What is the area, in square yards, in which the dog can roam?
1) 1001
2) 100x yd.2
3) 100 yd.2
4) 20ryd.

Answers

Answer:

the area in square yards is 100πyd^2

Step-by-step explanation:

The computation of the area is shown below:

Area = πr^2

= π10^2

= 100πyd^2

Hence, the area in square yards is 100πyd^2

We simply applied the above formula to determine the area

Which expression results from using the Distributive Property?
16. 3(6 +r)
A. 6+r
B. 6 + 3r
C. 181
D. 18 + 3r

Answers

The answer is D because you would multiply 3 * 6 and 3 * r, getting you 18+3r

Is the graph increasing, decreasing, or constant?
O A. Constant
O B. Increasing
C. Decreasing

Answers

Answer:

increasing according to me

Step-by-step explanation:

..

A group of friends wants to go to the amusement park. They have no more than $275

to spend on parking and admission. Parking is $17.50, and tickets cost $25 per

person, including tax. Write and solve an inequality which can be used to determine

2, the number of people who can go to the amusement park.

Answers

Answer:

x ≤ 10.3 people

Approximately x ≤ 10 people

Step-by-step explanation:

Parking = $17.50

Tickets = $25 per person

Let

x = number of people who can go to the amusement park.

17.50 + 25x ≤ 275

25x ≤ 275 - 17.50

25x ≤ 257.50

x ≤ 257.50/25

x ≤ 10.3

Approximately 10 people can to the amusement park

Translate the given phrase into an algebraic expression and simplify if possible: the sum of -4 and the difference of 3 and 1

Answers

the answer is -12 have a great rest of your day

Algebraic expression for the given phrase is

[tex]-4+(3-1)[/tex]

Simplified answer is -2

Given :

The given phrase is  the sum of -4 and the difference of 3 and 1

To find the difference we subtract the numbers

difference of 3 and 1 is 3-1

for the sum we add it

the sum of -4 and the difference of 3 and 1

the sum of -4 and  (3-1)

Now we add it , [tex]-4+(3-1)[/tex]

Algebraic expression for the given phrase is

[tex]-4+(3-1)[/tex]

Now we simplify it

[tex]-4+(3-1)\\-4+(2)\\-2[/tex]

Learn more : brainly.com/question/24513204

Janel has $250 in her bank account and is earning $75 a week babysitting the annoying neighbor kids. April has $720 in her bank account and spends $35 a week on clothes and shoes. how long will it take for the two to have the same amount of money in their bank accounts? solve using systems of equations.

Answers

Answer:

Step-by-step explanation:

J = 250 + 75t

A = 720 - 35t

250 + 75t = 720 - 35t

110t = 470

t = 47/11 weeks = 4.3 weeks

A=6
B=8
The measure of c is

Answers

Answer:

10

Step-by-step explanation:

Answer:

the answer is 10

Step-by-step explanation:

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

Square root of 100 is 10 so the answer is 10

please mark brainliest for answer and work...

THANKS

3. Paulo can jog 20 miles in 5 hours. At this rate, how many miles can Paulo jog in 4 hours? *​

Answers

Answer:

16 miles

Step-by-step explanation:

20/5= 4 mph

4x4=16

question is down below thanks

Answers

Answer:

E

Step-by-step explanation:

A linear equation is in the form of: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

m is the slope and it's given, which is -6

b is the y-intercept and it's given, which is 9

When we plug in to the form we get:

[tex]y=-6x+9[/tex]

g The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people. Assume that this trend is linear and the population has been growing like this since 2000. a. Write a function for the population, P, in terms of the number of years since 2000, ????. (6 points) b. What is the slope of the function and what does it represent in the context of the problem. Include units. (5 points) c. What is the vertical intercept of the function and what does it represent? Include units (5 points) d. What do you believe the population was in 2015?

Answers

Answer:

a) [tex]P(t) = 11500 + 425t[/tex]

b) The slope is of 425 people, which is by how much the population increases each year.

c) The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d) 17,875 people.

Step-by-step explanation:

A linear function that measures population after t years has the following format:

[tex]P(t) = P(0) + at[/tex]

In which P(0) is the vertical intercept, which represents the initial population, and a is the slope, which represents the yearly population.

a. Write a function for the population, P, in terms of the number of years since 2000.

The first step is finding the slope.

Finding the slope:

The slope is the change in the output divided by the change in the input, during a period of time.

The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people.

This means that in 2009 - 2005 = 4 years, the population increased by 15325 - 13625 = 1700.

So the slope is

[tex]a = \frac{1700}{4} = 425[/tex]

So

[tex]P(t) = P(0) + 425t[/tex]

Finding the initial population:

We want to find P(0), which is the population in 2000. The population of Little Townville in 2005 was 13,625 people, which means that [tex]P(5) = 13625[/tex]. So

[tex]P(t) = P(0) + 425t[/tex]

[tex]13625 = P(0) + 425*5[/tex]

[tex]P(0) = 13625 - 425*5[/tex]

[tex]P(0) = 11500[/tex]

So

[tex]P(t) = 11500 + 425t[/tex]

b. What is the slope of the function and what does it represent in the context of the problem. Include units.

The slope is of 425 people, which is by how much the population increases each year.

c. What is the vertical intercept of the function and what does it represent? Include units

The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d. What do you believe the population was in 2015?

2015 is 2015 - 2000 = 15 years after 2000, so this is P(15).

[tex]P(15) = 11500 + 425*15 = 17875[/tex]

17,875 people.

Can someone tell me how to do this task please?

Answers

The factors of a 18 are 1, 2, 3, 6, 9, 18.
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