LM is a perpendicular bisector of NP The length of LN is 12w +7, and the length of LP is 15w 5. What is the length of LN?

Answers

Answer 1

Answer:

[tex]LN = 55[/tex]

Step-by-step explanation:

Given

[tex]LN = 12w + 7[/tex]

[tex]LP = 15w - 5[/tex]

Required

Determine LN

Since LM is a bisector, then we have:

[tex]LP = LN[/tex] (See attachment for illustration)

[tex]15w - 5 = 12w + 7[/tex]

Collect Like Terms

[tex]15w - 12w = 5 +7[/tex]

[tex]3w = 12[/tex]

Solve for w

[tex]w = 12/3[/tex]

[tex]w = 4[/tex]

LN is calculated as thus:

[tex]LN = 12w + 7[/tex]

Substitute 4 for w

[tex]LN = 12 * 4 + 7[/tex]

[tex]LN = 48 + 7[/tex]

[tex]LN = 55[/tex]

LM Is A Perpendicular Bisector Of NP The Length Of LN Is 12w +7, And The Length Of LP Is 15w 5. What

Related Questions

3 Comcast charges $50 per month for basic cable and $5.00 for each premium movie channel. Xfinity charges $41 per month for the same cable package and $6.50 for each premium movie channel. B. Write an inequality to represent how many movie channels a customer needs to purchase from Xfinity Cable to pay at least as much as a Comcast subscriber.

Answers

Answer:

18

Step-by-step explanation:

let us model the cost

let the cost be y and the number of movie channel be x

for 3 comcast

y=50+5x-----1

and for Xfinity

y=41+6.5x-------2

to solve for the number of movie channel so that the two (3 comcast and Xfinity) will pay the same, we need to equate 1 and 2

50+5x=41+6.5x

50-41=6.5x-5x

9=0.5x

x=9/0.5

x=18

i need a fast answer for this

graph y=4x+9

Answers

The answer is in the picture below. To get this answer you first plot the y-intercept which in this case is 9. Then after you plot the y-intercept plot the rest of the points by taking the slope, which is 4 and going up 4 over 1.

Can someone please help me?

Answers

Answer:

4

Step-by-step explanation:

It is 4 because there are 4 pea pods with 3 peas in each pod.

Answer:

2

Step-by-step explanation:

What are the x and y-intercepts of the line described by the equation?

2x + 4y = 12.4



Enter your answers, in decimal form, in the boxes.

x-intercept =

y-intercept =

Answers

Answer:

x-int (6.2, 0)

y-int (0, 3.1)

Step-by-step explanation:

x-intercept is found when y = 0.

y-intercept is found when x = 0.

Step 1: Define equation

2x + 4y = 12.4

Step 2: Find x-intercept

Substitute y for 0.

2x + 4(0) = 12.4

2x = 12.4

x = 6.2

(6.2, 0)

Step 3: Find y-intercept

Substitute x for 0.

2(0) + 4y = 12.4

4y = 12.4

y = 3.1

(0, 3.1)

Cape Corp. Will pay a dividend of $4.40 next year. The company has stated that it will maintain a constant growth rate of 5 percent a year forever. a. If you want a return of 17 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.) b. If you want a return of 10 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.)

Answers

Answer:

Step-by-step explanation:

a. If you want a return of 17 percent, how much will you pay for the stock?

The price of the stock can be calculated as:

= dividend next year/(required return - growth rate)

= 4.4/(17% - 5%)

= 4.4/12%

= 4.4/0.12

= 36.67

b. If you want a return of 10 percent, how much will you pay for the stock?

At 10%

= 4.4/(10% - 5%)

= 4.4/5%

= 4.4/0.05

= 88

Rectangle ABCD has a length represented by the expression 2x-3, and a width represented by the expression 4x+5. Rectangle PQRS has a length represented by the expression x-1, and a width represented by the expression 3x+2. Which Expression can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS

Answers

This question is Incomplete

Complete Question

Rectangle ABCD has a length represented by the expression 2x – 3, and a width represented by the expression 4x + 5. Rectangle PQRS has a length represented by the expression x – 1, and a width represented by the expression 3x + 2. Which Expression can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS?

a) 2x + 1

b) 4x + 2

c) 4x + 6

d) 20x + 6

Answer:

b) 4x + 2

Step-by-step explanation:

The Formula for the Perimeter of a Rectangle = 2(L + W)

= 2L + 2W

Hence:

For rectangle ABCD

Length = 2x - 3

Width = 4x + 5

Hence, the Perimeter is :

P = 2L + 2W

P = 2(2x - 3) + 2(4x + 5)

P = 4x - 6 + 8x + 10

P = 4x + 8x -6 + 10

P = 12x + 4

For Rectangle PQRS

Length = x - 1

Width = 3x + 2

Hence, the Perimeter is :

P = 2L + 2W

P = 2(x - 1) + 2(3x + 2)

P = 2x - 2 + 6x + 4

P = 2x + 6x - 2 + 4

P = 8x + 2

The Expression that can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS is

Perimeter of Rectangle ABCD - Perimeter of Rectangle PQRS

(12x + 4) - (8x + 2)

12x + 4 - 8x - 2

12x - 8x +4 -2

4x + 2

Option b) 4x + 2 is the correct option.

Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You
mix the Tanzanian blend with the Queen City blend, but always in the same proportion. Yesterday, you
mixed 40 pounds of the Tanzanian blend with 8 pounds of the Queen City blend. Today, there is 20 pounds
of the Tanzanian coffee left in stock. How many pounds of the Queen City coffee should you mix with it to
get your secret blend?

Answers

Quantity of Tanzanian blend used in my secret coffee blend = 40 pounds

Quantity of Queen city blend used in my secret coffee blend = 8 pounds

The ratio of Tanzanian blend to Queen city blend in my coffee blend = 40 : 8

Quantity of Tanzanian blend with me = 20 pounds

Quantity of Queen city bend needed to make my secret coffee blend =

Let the quantity of Queen city blend I will need be x .

[tex] \frac{40}{8} = \frac{20}{x} [/tex]

[tex]8 \times 20 = 40 \times x[/tex]

[tex]160 = 40x[/tex]

[tex]x = \frac{160}{40} [/tex]

[tex]x = 4[/tex]

Therefore , I need to mix 4 pounds of queen city blend with my 20 pounds of Tanzanian blend to get my secret coffee blend .

4 pounds of  the Queen City coffee should you mix with it to get your secret blend.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

Yesterday If we mixed 40 pounds of the Tanzanian blend with 8 pounds of the Queen City blend.

In the same proportion, today there is 20 pounds of the Tanzanian coffee left in stock.

We need to calculate how many pounds of the Queen City coffee should you mix with it to get your secret blend.

Let x be the pounds of the Queen City coffee should you mix with it

Let us form a equation

40/8=20/x

Apply cross multiplication

40x=160

Divide both sides by 40

x=4

Hence 4 pounds of  the Queen City coffee should you mix with it to

get your secret blend.

To learn more on ratios click:

https://brainly.com/question/1504221

#SPJ2

Mt. Young bought some hamburgers for his cookout. The price was $32,17, but, le found that hamburger parties were on special for $22.692. What was hubs DOcent Bio
A $3.20
B. 29.68%
OC45%
D. $87.25

Answers

B- 29.68%
A is too little
C is too much off
D is way too much
So B is your answer

Give the missing reasons for this proof (with picture)

Answers

2. alternate angles I think

3. vertically opposite angles

4. Interior angles

Which point on the coordinate plane is closest to ______ ?

Answers

Answer:

its point D hope this helps :)

The correct answer is D.

I hope this helps!!

Rebecca went swimming yesterday. After a while she had covered one fifth of her intended distance. After swimming six more lengths of the pool, she had covered one quarter of her intended distance. How many lengths of the pool did she intend to complete?

Answers

Answer:

E. 120

Step-by-step explanation:

A. 40

B. 72

C. 80

D. 100

E. 120

Let

x = the intended distance

y = length of the pool

She covers one fifth of her intended distance

Distance covered = 1/5 of x

= x/5

After swimming six more lengths of the pool she had covered one quarter of her intended distance

x/5 + 6y = 1/4 of x

x/5 + 6y = x/4

Collect like terms

6y = x/4 - x/5

6y = 5x - 4x/20

6y = x/20

x = 20 * 6y

= 120y

x = 120y

The intended distance Rebecca wants to cover = 120

HELP PLEASE PLEASEEEEEEE

Answers

Answer:

about 1854.55 miles (rounded to the hundredth)

Step-by-step explanation:

1.

[tex] \frac{44}{100} = \frac{816}{x} [/tex]

The first fraction represent the percentage of the distance.

The second one represent the number of 816 miles out of x

2. 100 × 816 = 44 × x

3. You'll get 81,600 = 44x

4. and then you divided both side by 44 to solve for x

I think it’s 1854.55 miles

Write an equation for the line that passes through (2,5) and (6,7)

Answers

Answer:

[tex]y=\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Find the slope of the line first using the slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the two given points into this formula.

[tex]\frac{7-5}{6-2} =\frac{2}{4} =\frac{1}{2}[/tex]

Now that you have a slope and a point that the line passes through, you can use the point-slope formula to find the equation of the line.

Point-slope formula:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute m = 1/2 for the slope and one of the points; I'm going to use (2, 5).

[tex]y-(5)=\frac{1}{2} (x-(2))[/tex]

Simplify the equation so it's easier to read.

[tex]y-5=\frac{1}{2} (x-2)[/tex]

Distribute 1/2 inside the parentheses.

[tex]y-5=\frac{1}{2}x-1[/tex]

Add 5 both sides of the equation.

[tex]y=\frac{1}{2}x+4[/tex]

Answer:

The slope is the change in y over the change in x.

(7-5) / (6-2) = 2 / 4 = 1 / 2

In y = mx + b, we know y, m, and x. Now solve for b:

Let's use the point (2, 5).

5 = (1/2)(2) + b

5= 1 + b

b = 4

Now put it together:

y = (1/2)x + 4

Step-by-step explanation:

If you roll two six-faced dice together, you will get 36 possible outcomes. 4 pts 1. List all possible outcomes of the experiment. 2 pts 2. What is the probability of getting a sum of 11 in these outcomes? 2 pts 3. What is the probability of getting a sum less than or equal to 4? 2 pts 4. What is the probability of getting a sum of 13 or more?

Answers

Given:

Two dice are rolled together.

Total number of possible outcomes.

To find:

The list of total possible outcomes.

The probability of getting a sum of 11 in these outcomes.

The probability of getting a sum less than or equal to 4.

The probability of getting a sum of 13 or more.

Solution:

If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3

The probability of getting a sum of 11 in these outcomes is

[tex]P(\text{sum=11})=\dfrac{3}{36}[/tex]

[tex]P(\text{sum=11})=\dfrac{1}{12}[/tex]

Therefore, the probability of getting a sum of 11 in these outcomes is [tex]\dfrac{1}{12}[/tex].

Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6

The probability of getting a sum less than or equal to 4 is

[tex]P({sum\leq 4})=\dfrac{6}{36}[/tex]

[tex]P({sum\leq 4})=\dfrac{1}{6}[/tex]

Therefore, the probability of getting a sum less than or equal to 4 is [tex]\dfrac{1}{6}[/tex].

Sum of 13 or more = empty set because maximum sum is 12.

The probability of getting a sum of 13 or more is

[tex]P(sum\geq 13)=\dfrac{0}{36}[/tex]

[tex]P({sum\geq 13})=0[/tex]

Therefore, the probability of getting a sum of 13 or more is 0.

rearrange the formula d= m/v for m

Answers

Answer:

m=d*v

Step-by-step explanation:

Una caja contiene 448 mascarillas, las cuales se deben acomodar en 3 cajas más pequeñas. En la primera se deben poner ; 1/8, del total, en la segunda 3/8 y en la tercera 4/8 ¿Cuántas mascarillas van en cada caja y cuántas quedan en la caja original?

Answers

Step-by-step explanation:

Si una caja contiene 448 cajas y debe acomodarse en tres cajas más pequeñas, si la primera contiene 1/8 del total, entonces el número de cajas en la primera será:

[tex]= \frac{1}{8}\times 448\\ = \frac{448}{8}\\ = \frac{8\times56}{8}\\ = 56[/tex]

Por lo tanto, la primera caja contiene 56 cajas más pequeñas.

Si el segundo contiene 3/8 del total, entonces el número de casillas en el segundo será:

[tex]= \frac{3}{8}\times 448\\ = \frac{3\times448}{8}\\ = \frac{8\times 3 \times 56}{8}\\ = 3 \times56\\= 168[/tex]

Por lo tanto, la segunda caja contiene 168 cajas más pequeñas.

Si el tercero contiene 4/8 del total, entonces el número de casillas en el tercero será:

[tex]= \frac{4}{8}\times 448\\ = \frac{1}{2} \times 448\\ = 224[/tex]

Por lo tanto, la tercera caja contiene 224 cajas más pequeñas.

La cantidad que quede en la casilla original se expresará como

= 448- (56 + 168 + 224)

= 448-448

= 0

Por lo tanto, no quedó ninguno en la caja original.

Please help! Geometry.

Answers

I wrote them down for you

solve for x


-30=5(x+1)

Answers

Answer:

-7

Step-by-step explanation:

The cost of parking a car in an hourly lot can be represented by the following equation y = 3x + 2 What does the 3 tell you about the cost of parking?

A) The hourly rate is $3

B) You can only park for 3 hours

C) There is a $3 fee to park

D) it costs 5 dollars to park all day​

Answers

Answer:

A

Step-by-step explanation:

The three represents the amount it costs for each hour parked, and is continuous, which is a rate.

It’s A ... sorry if I’m wrong

Cindy deposited $350 into a savings account. As long as the account balance remains at or above $200, she does not have to pay a service fee for the account. For how long can she withdraw $30 a month without having to pay service fees? A) 5 months B) 6 months C) 7 months D) 8 months E) 9 months

Answers

Answer:

5 months

Step-by-step explanation:

Cindy deposited $350 into a savings account

The acct balance remains above $200

We are required to find the number of months that it will take to $30 a month

Let y represent the number of months

y × 30 < 350-200

30y < 150

Divide both sides by the coefficient of y which is 30

30y/30 < 150/30

y < 5

Hence the number of months required is 5 months

Drag the words into the boxes to correctly complete the sentence.



In the problem 3.8÷0.7, the number 3.8 is the________ and the number 0.7 is the_____


The words at he bottom is


sum, difference, equivalant, divisior, dividend, remainder

Answers

Answer: In the problem 3.8÷0.7, the number 3.8 is the equivalent the number 0.7 is the divisor. Equivalent, divisor. Have a great day!

What is the solution set of the inequality for 6x – 12 > 30?

Answers

Answer:

x > 7

Step-by-step explanation:

6x - 12 > 30

add 12 to 30

6x > 42

divide 6 to 42

x > 7

Not sure if this is what you needed but hope this helped!!!

If y varies directly as x, and y = -85 when x = 5, what is the value of y when x = 19

Answers

Answer:

-323

Step-by-step explanation:

y varies x

make k the unknown

y=kx

-85= 5k

:• k = -17

when x= 19

we can say...

y= -17(19)

y = -323 ✓

8.56 is the answer ...........

Which of these equations represents a line that has an undefined slope and is
perpendicular to the line represented by y = 5?
A x = 5
B y = 0
C y = −5
D No such line exists.

Answers

It Will Be C because a positive always turns into An negative so the answer will be Y=-5

Step-by-step explanation:

D. no such line exits

you have to know the gradient of the line given and there is no gradient given

!!PLEASE HELP QUICK!!Chauncy is paid $10 per hour. He works 2 hours a day for 5 days each week. How much money is Chauncy paid for his work each week? Which sentence can be used to answer the word problem?

A Chauncy is paid $___

B Chauncy works ___

C Chauncy works ___

D Chauncy is paid $___

Answers

Answer:

he make $100 a week

D Chauncy is paid $100 for his work each week

Answer:

Chauncy is paid $100 for his work each week

Step-by-step explanation:

What is the range of the following numbers?
12, 20,18,25, 6
O A 5
OB. 164
O C. 18
O D. 19
O E. 25

Answers

D. 19 Hope this helps :)

Complete the recursive formula of the arithmetic sequence –3,-1,1,3,....

Answers

5 7 9 11 13 15 Is the next answer

Answer:

b(1)=-3

b(n)=b(n−1)+2

Step-by-step explanation:

Given the sequence −3,−1,1,3,...

We can infer that the first number of the sequence is -3, and the difference is +2

b(1)=first number of the sequence

b(n)=b(n−1) diffrence

If we fill this in, we get:

b(1)=-3

b(n)=b(n−1)+2

write an expression that is equivalent to 25x^2 -20x + 4

Answers

It would be (5x-2)^2

please help :(( (will mark brainliest!!!!)

Answers

Answer:

(-8,0) (0,-4) (4,-6)

Step-by-step explanation:

A plane takes off and climbs steadily for 15 minutes until it
reaches 30,000 feet. It travels at that altitude for 2 hours until
it begins to descend to land, which it takes 15 minutes at a
constant rate.

Answers

Step-by-step explanation:

Mark each mark by 15 mins add an extra tick at the time section

the corner before the first 15 min mark make a tilted line to 15 mins and 30,000 feet draw a straight line till 2 hours and 15 mins draw titled down to 2 hours and 30 mins

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