if L || M, find the value of each missing variable(s).

If L || M, Find The Value Of Each Missing Variable(s).

Answers

Answer 1

Answer:

13. x = 21; y = 15

14. x = 8; y = 11

15. x = 16; y = 23

Step-by-step explanation:

13. (3x - 16)° + (6x + 7)° = 180° (same side interior angles are supplementary)

Solve for x

3x - 16 + 6x + 7 = 180

Collect like terms

9x - 9 = 180

Add 9 to both sides

9x = 180 + 9

9x = 189

Divide both sides by 9

x = 189/9

x = 21

(6x + 7)° = (11y - 32)° (vertical angles are congruent)

Solve for y by substituting x = 21 into the equation

6(21) + 7 = 11y - 32.

126 + 7 = 11y - 32

133 = 11y - 32

Add 32 to both sides

133 + 32 = 11y

165 = 11y

Divide both sides by 11

165/11 = y

15 = y

y = 15

14. (11x - 25)° = (8x - 1)° (alternate exterior angles theorem and corresponding angles theorem)

Solve for x

11x - 25 = 8x - 1

Collect like terms

11x - 8x = 25 - 1

3x = 24

Divide both sides by 3

x = 24/3

x = 8

(8x - 1)° + (15y - 48)° = 180° (linear pair theorem)

Substitute x = 8 into the equation and solve for y

8(8) - 1 + 15y - 48 = 180

64 - 1 + 15y - 48 = 180

15 + 15y = 180

Subtract 15 from both sides

15y = 180 - 15

15y = 165

Divide both sides by 15

y = 165/15

y = 11

15. (7x - 44)° = (4x + 4)° (alternate exterior angles theorem)

Solve for x

7x - 44 = 4x + 4

Collect like terms

7x - 4x = 44 + 4

3x = 48

Divide both sides by 3

x = 48/3

x = 16

39° + (8y - 43)° = 180° (corresponding angles theorem and linear pair theorem)

Solve for y

39 + 8y - 43 = 180

Collect like terms

-4 + 8y = 180

Add 4 to both sides

8y = 180 + 4

8y = 184

Divide both sides by 8

y = 184/8

y = 23


Related Questions

y= 1/ x+3
What is the vertical asymptote for the above function?

Answers

Answer:

The vertical asymptote is x = -3

Step-by-step explanation:

Vertical asymptotes are found by setting the equation in the denominator equal to zero.

x+3=0

To solve for x, all you need to do is bring the 3 to the other side of the equation in order to isolate the x. By doing so the 3 become negative because you switched sides of the equation.

Answer: -3

Step-by-step explanation: A P E X

Help step by step plz :)

Answers

Answer:

108

Step-by-step explanation:

multiply both sides by 4

x/4 times 4 = x

27 times 4 = 108

A man walks at the rate of 88 paces to the minute .if the average length of his pace is 0.875 m, find the time he takes to walk 2.31km

Answers

Answer:

0.02

Step-by-step explanation:

A tree was 60 inches tall. Three years later it was 105 inches tall. What was the present increase the nearest hundredth, of the height of the tree?

Answers

Answer:

75%

Step-by-step explanation:

yep

Answer:

63% im pretty sure :)

Step-by-step explanation:

The perimeter of a rectangular pool is 48 feet. Its length is 4 feet more than its width.

Let the width of the pool be represented by x.

Which equation below can be used to describe the situation?

Answers

Answer:

48=2(x+4)+2x

Step-by-step explanation:

Step one:

given data

Perimeter= 48ft

let the with be x

length= x+4

Step two:

the expression for the perimeter is

P=2L+2W

substituting

48=2(x+4)+2x

48=2x+8+2x

solve for x

48=4x+8

48-8=4x

40=4x

x=40/4

x=10ft

Step three:

the width is 10 ft

the lenght= x+10

length= 10+10= 20ft

whats the answer and how can u explain it?

Answers

Answer:

(2, 6)

Step-by-step explanation:

If it starts at x1 and y4, and you move two up it goes to y6 and then you move 1 to the right and it ends up at x2.

Can you please help me with this? ​

Answers

Answer:

26

Step-by-step explanation:

Read it as a row that gives you the answer

A herd of 40 horses has 9 brown and some black horses. What is the ratio of brown to black horses

Answers

Answer:

Step-by-step explanation:

10:3 i believe

Answer:

9:31

Step-by-step explanation:

I guess since there arent any other mentioned its only black and brown horses so it would be 9:31

.
a
14
50%
2
Happy Mon...
B
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I s
fx
Find the distance of the line.
1
4
2 Find the distance between: (-2, 3) and (-7, -7)
AY
Find the distance of the line.

Answers

The answer is a correct

Hey can anyone pls answer dis math question!!!!

Answers

The monthly interest is $1.15.

Answer:

$255.20

Step-by-step explanation:

Logan bought a baseball bat on a trip. The baseball bat is 29 inches long Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean theorem to explain your answer

Answers

Answer:

Step-by-step explanation:

Kindly find attached a description of Logan's suit case

given data

dimension of suitcase

adj, length=24in

opp, width=18in

dimension of base ball bat= 29in

we want to know if the bat can fit in the case, a way out is to solve for the diagonal or hypotenuse of the case using Pythagoras theorem.

we know that

hyp^2= opp^2+adj^2

hyp=√opp^2+adj^2

hyp=√18^2+24^2

hyp=√324+576

hyp=√900

hpy=30in

this means that the diagonal of the case is 30 in, seeing that the bat is 29 in, the bat cannot fit into the case

Since in the given situation, the diagonal of the case is 30 in and the baseball bat is 29 in, so the bat cannot fit into the case.

Pythagorean theorem:

The dimension of a suitcase is adj length=24in and opp width=18in

Now here we apply the above theorem for determining the diagonal or hypotenuse

So, the calculation is as follows:

[tex]hyp^2= opp^2+adj^2\\\\hyp=\sqrt opp^2+adj^2\\\\hyp=\sqrt 18^2+24^2\\\\hyp=\sqrt324+576\\\\hyp=\sqrt900[/tex]

hyp=30in

Due to the above calculations, we can say that the bat cannot fit into the case

Learn more about Pythagorean here: https://brainly.com/question/24703634

Given: 9x + 3y = 18
Re-write in y = mx + b form.

Answers

Answer:

y= -3x+6

Step-by-step explanation:

9x + 4.5 - 2x = 2.3 + 7x + 2.2

does this have a infinite solution pls help

Answers

Answer:

answer of this question is 0=0

Hideo Yamata makes a deposit of $2,235. He remembers that the checks he deposited total twice the amount of currency he deposited. How much did he deposit in checks?

Answers

Answer:

Total amount deposited in checks is $1490

Step-by-step explanation:

Amount deposited by Yamata = $2235.

The amount of checks is twice the amount of currency deposited. Let the amount of currency deposited be represented by x.

So that,

Amount of checks = 2x, then;

2x + x = 2235

3x = 2235

x = [tex]\frac{2235}{3}[/tex]

  = 745

The amount of currency deposited is $745.

Therefore,

amount deposited in checks = 2 x $745

                                              = 1490

Total amount deposited in checks is $1490.

can someone plz help who good with math

Answers

Answer:

1.2

Step-by-step explanation:

if you multiply 1.2 X 10 is 12

You want to order a pizza for dinner. The pizza shop has a deal where you can buy a three-topping pizza for 11.99 . If the pizza shop has 30 different toppings that you can put on your pizza, how many different pizzas could you get for 11.99?

Answers

Answer:

10

Step-by-step explanation:

because each pizza is 11.99 and you can get three toppings, so 30 divided by 3 is 10, so you can get three different pizza.

Answer:

I think 10 pizzas.

Step-by-step explanation:

The drama teacher spends $354 on costumes and microphones for 6 cast members. Each member receives a costume that costs $38 and a microphone that costs $c. How much did each microphone cost? Show an equation using c as the variable and solve

Answers

Answer:

Each microphine cost $21

Step-by-step explanation:

Equation: (38+c) 6 = 354

(38+c) 6 = 354        distribute 6 into 38 and c

38*6 + c*6

 \/        \/

228 + 6c = 354       Subtract 228

-228           -228

----------------------------

6c = 126                  divide 6

÷6     ÷6

-------------

c = 21

:)

Summer and Autumn are friends who live 25 miles apart and they are training for a long race. On wednesday after school, they ran toward each other’s houses to meet up. They left their houses at 4pm and met at 6 pm. Summer ran an average rate of 8 1/2 miles per hour

Answers

Complete question is;

Summer and Autumn are friends who live 25 miles apart and they are training for a long race. On wednesday after school, they ran toward each other’s houses to meet up. They left their houses at 4pm and met at 6 pm. Summer ran an average rate of 8 ½ miles per hour faster than autumn. What is the average speed of each?

Answer:

Autumn's average speed is 1.3158 mph

Summer's average speed is 11.1843 mph

Step-by-step explanation:

We are told that they live 25 miles from each other.

They left their houses at 4pm and met at 6 pm. This means they met 2 hours later.

Now, summer ran 8.5 mph faster than autumn.

This means if autumn's speed is "x", then summer ran 8.5x mph

Thus, total distance covered by summer is; d_summer = 8.5x * 2 = 17x

Total distance by autumn is; x * 2 = 2x

Since their houses are 25 miles apart.

Thus;

17x + 2x = 25

19x = 25

x = 25/19

x = 1.3158 mph

Thus, autumn's speed is 1.3158 mph

Summer's speed is 1.3158 × 8.5 = 11.1843 mph

What’s the answer hurry????

Answers

Answer:can’t read that man

Step-by-step explanation:

Still can’t read it

Answer: It's A) 2 cars/ 2/3 hours, and C) 1/3 car/ 1/9 hours

Step-by-step explanation:

If you don't want to download the PDF, use this: file:///home/chronos/u-71d7608fdb4d06fdae8318162fc0ad753f4365f1/MyFiles/Downloads/PERFORMANCE%20p10,11%20key.pdf

you invest 10,000 dollars into two accounts, one earning 5% interest and the other earning 8% interest. If the total annual interest earned is 590 dollars, how much do you invest into each account? PLZ SHOW WORK

Answers

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300

Step-by-step explanation:

Hope this helps :)

Adam has 312pounds of ground beef.

How many burgers can he make if each burger requires 14 pound?

PLS HELP NOWWWW

Answers

312/14= 22.285

He can make 22 burgers. Please mark me as the Brainliest.

Answer:

14 or 0.14

Step-by-step explanation:

3 1/2 ÷ 1/4

1/4 = 25

3 1/2 ÷ 25 = 0.14 or 14

This is correct answer can you mark me brainliest

What is the focus and directrix of a parabola?

Answers

Answer:

Parabolas are commonly known as the graphs of quadratic functions. They can also be viewed as the set of all points whose distance from a certain point (the focus) is equal to their distance from a certain line (the directrix).

Step-by-step explanation:

hope this helps

Crown me as brainliest:)

Entre Ana y Sergio tienen $500, pero Sergio tiene el doble de dólares que Ana. ¿Cuánto tiene cada uno? Halle la solución por el Método Gráfico Ana : x ; Sergio :y { + = = { + = − + = �

Answers

Answer:

Ana tiene 166,67 dólares, mientras que Sergio tiene 333,33 dólares.

Step-by-step explanation:

Consideramos que la mejor estrategia para resolver este problema consiste en leer cuidadosamente cada frase del enunciado, traducirlo matemáticamente y utilizar software gráfico para determinar la solución de las ecuaciones resultantes:

1) Entre Ana y Sergio tienen $ 500

[tex]x + y = 500[/tex] (Eq. 1)

Donde:

[tex]x[/tex] - Cantidad de dinero de Ana, medida en dólares.

[tex]y[/tex] - Cantidad de dinero de Sergio, medida en dólares.

2) Sergio tiene el doble de dólares que Ana

[tex]2\cdot x - y = 0[/tex] (Eq. 2)

En consencuencia, tenemos un sistema de dos ecuaciones lineales con dos incógnitas, lo que nos permite la posibilidad de encontrar una solución única y utilizar un plano cartesiano para su resolución. Mediante software gráfico (véase imagen adjunta) encontramos que la solución del sistema es:

[tex](x,y) = (166,67, 333,33)[/tex]

Ana tiene 166,67 dólares, mientras que Sergio tiene 333,33 dólares.

Which refers to the number of wavelengths that pass a fixes point in a second?​

Answers

Answer:Frenquency

Step-by-step explanation:

Answer:

FREQUENCY

Step-by-step explanation:

4y 8x - 16 as a function

Answers

Answer:

The function form is:

f(x) = 2x - 8

Wellington never paid attention in school when teachers taught math and he never truly understood how to manage his money. He is now an adult and does not have any real skills so lets find out what happened to his money. He made $2400 dollars but after federal and state taxes, social security, and health insurance there are $550 that are automatically taken out. Then he must pay his rent which is $1,000. Then he must pay his car note and insurance which come up to $700. He has to divide the remaining total up equally and make it last for 15 days. How much will he have to spend on each of those 15 days?

Answers

Answer:

$10

Step-by-step explanation:

Total amount earned = $2400

Less: federal and state taxes, social security, and health insurance = $550

Balance = $2400 - $550

=$1,850

Less : Rent = $1,000

Balance = $1,850 - $1,000

= $850

Less: insurance = $700

Balance = $850 - $700

= $150

He has to divide the remaining total up equally and make it last for 15 days

Amount to spend per day = $150 / 15 days

= $10 per day

A jacket originally cost $30.75. It went on sale for 20% off the original price. What was the discount on the jacket?

Answers

Answer:

$24.60

Step-by-step explanation:

First, you need to find 20% of $30.75.

To do this, we need to divide $30.75 by 5.

20% og $30.75 is $6.15.

$30.75 - $6.15 = $24.60

I hope that this helps! :)

Ok so the original price is $30.75 and it’s on sale for 20%. To find the discount you multiply 30.75 by .20 and get 6.15. So the discount is $6.15, and the new price of it is $24.60. Hope this helps!

7. Find the perimeter of the triangle with the side lengths of x+14, -X+7, and x-9.
(2 Points)

8. Find the area of a rectangle with the following measurement:
(2 points)
length = 3x² - 6x + 5 and width = 5x - 8

Answers

Answer:

7. Perimeter = x+12

8.  Area = 3x² +19x-8

Step-by-step explanation:

Perimeter -To calculate the perimeter of a triangle, add the length of its sides. For example, if a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c.

Area -The area A of a rectangle is given by the formula, A=lw, where l is the length and w is the width.

7. X+12
8. 3x^2+19x-8

An angle's measure is 10 less than 4 times its complement. Find the measure of the angle.
WILL GIVE BRAINLIEST

Answers

Answer:

I think the answer is 6 so if wrong

Answer:

nope...

Step-by-step explanation:

Danielle is ordering costumes for her dance recital. The company Danielle is ordering from charges $19 per costume and a shipping fee of $9. Based on this information, which function can be used to represent the relationship between the total cost, k, and the number of costumes Danielle orders, u? A. k = 9u + 19 B. k=19u−9 C. k = 19u + 9
D. k=9u−19

PLEASE HURRY ILL MAKE MOST BRAINLIEST!!!!

Answers

Answer:

Step-by-step explanation:

C. Cost = $19 x u + $9shipping fee

So k = 19u + 9

The function that represent the information is k = 19u + 9

The shipping fee = $9

The company charges $19 per costume.

The shipping fee is acting like a constant in the linear equation while the amount charged for the costumes is dependent on the value u, which is the number of costumes purchased.

k = total cost

number of costumes she orders = u

Therefore, the equation can be represented as follows

k = 19u + 9

For more information check :  

https://brainly.com/question/18787700?referrer=searchResults

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