Given LP, LM = (3x + 1), MN = (4x –3), NP = (6x – 5), and LM =NP.
M
AN
What is the length of MP?

Answers

Answer 1

Answer:

[tex]MP = 12[/tex]

Step-by-step explanation:

Given

[tex]LM = (3x + 1), MN = (4x -3), NP = (6x - 5)[/tex]

[tex]LM = NP[/tex]

Required

Find MP

We have:

[tex]LM = NP[/tex]

This gives:

[tex]3x + 1 = 6x - 5[/tex]

Collect like terms

[tex]3x - 6x = -1-5[/tex]

[tex]-3x = -6[/tex]

Solve for x

[tex]x = 2[/tex]

MP is calculated as:

[tex]MP = MN + NP[/tex]

[tex]MP = 4x - 3 + 6x - 5[/tex]

Collect like terms

[tex]MP = 4x + 6x - 3 - 5[/tex]

[tex]MP = 10x - 8[/tex]

Substitute [tex]x=2[/tex]

[tex]MP = 10*2 - 8[/tex]

[tex]MP = 20 - 8[/tex]

[tex]MP = 12[/tex]


Related Questions

Question
A bottle of medicine contained 300 mL. Convert this to liters.
Provide your answer below:
L

Answers

Answer:

0.3L

Step-by-step explanation:

1000mL = 1L

300mL = 0.3L

Rewrite the quadratic function below in Standard Form.
y = (x - 4) (x + 3)

Answers

the standard form of a quadratic formula is

y = ax^2 + bx + c

in this case you will solve using foil method

(× - 4)(x + 3)

(x × x) +( x × 3 )(- 4 × x) ( -4)× 3))

x^2 + 3x - 4x -12

x^2 - x - 12

therefore

y = x^2- x - 12

Need some help with this soon!

Answers

Answer:

f(x)=|x+6|

Step-by-step explanation:

because it is moving the function without changing the slope

Steven and his family ordered a meal the cost 136.50. Steven paid 14% sales tax and left a 20% tip on 136.50. What was the total cost

Answers

Answer:

The total cost was $182.91.

Step-by-step explanation:

Tax formula:

tax=tax percentage×amount

Tip formula:

tip=tip percentage×amount

solve

First find the tax. Write 14% as the decimal 0.14 before using it in the equation.

tax

= tax percentage×amount

= 0.14×136.50

= 19.11

The tax was $19.11.

Now find the tip. Write 20% as the decimal 0.20 before using it in the equation.

tip

= tip percentage×amount

= 0.20×136.50

= 27.3

The tip was $27.30.

Finally, find the total cost.

total cost

= cost + tax+tip

= 136.50+19.11+27.30

= 182.91

Answer:

182.91

Step-by-step explanation:

A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted price of $2 per slice of pizza. Aisha purchased a membership to this pizza shop. How much would Aisha have to pay the pizza shop if she bought 8 slices of pizza this month? What would be the monthly cost for
x slices of pizza?

Answers

Answer:

Aisha would pay 21 dollars for 8 slices.

Equation 2x(x=number of slices)+5

Step-by-step explanation:

Find the surface area of the triangular prism.

Answers

Answer: 125.6

Step-by-step explanation:

Answer: The answer is 125.6




...................

Solve the inequality
J+7>3j-4

Answers

Answer:

E. j<5.5

Step-by-step explanation:

Step by step explanation

The product of two positive integer numbers is 40 and the sum of the same two numbers is 13.

Answers

9514 1404 393

Answer:

  5 and 8

Step-by-step explanation:

Factor pairs that make 40 are ...

  40 = 1×40 = 2×20 = 4×10 = 5×8

The pair that has a sum of 13 is 5 and 8.

Round to the nearest tenth

Answers

Answer:

22.5

Step-by-step explanation:

13 square root 3 equals that

If f(x)=1−x^2 +x^3 , then f(−1)=

Answers

Answer:

f(-1) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 1 - x² + x³

f(-1) is x = -1 for the function f(x)

Step 2: Evaluate

Substitute in x [Function f(x)]:                                                                           f(-1) = 1 - (-1)² + (-1)³Exponents:                                                                                                        f(-1) = 1 - 1 - 1Subtract:                                                                                                            f(-1) = -1

Unit 1: Geometry Basics Homework 3: Angle Relationships

Answers

Answer:

juicy no no square

Step-by-step explanation:

The value of x = z = 73 degrees and y = 107degrees

3) Geometry is a branch of mathematics that deals with the measurement of lines and angles.

From the diagram shown, we can see that the two lines intersect at a point. The following is therefore true:

y = 107° (vertically opposite angle)

The sum of z and 107 is supplementary. Hence;

z + 107 = 180z = 180 - 107z = 73degrees

Also, the sum of x and y is also supplementary. This shows that:

x + y = 180x + 107 = 180x = 180 - 107x = 73dgrees

From the calculations, hence x = z = 73 degrees and y = 107degrees

Learn more on lines and angles here: https://brainly.com/question/19023162

Write the algebraic expression that matches each graph:

Answers

Answer:

follow me and I will answer it

Matthew thought the price of a game was $40. When he got to the store the price
was $60. Calculate the percent error.

Answers

Answer:

It is 20%

Step-by-step explanation:

$60 - $40 = $20

The original price of a pair of shoes is $60. The sale price is 25% off the original price. What is the amount off of
the original price?

Answers

The price after the 25% would be $15
Or it will be $45 off

In the diagram below, AB, BC and CD are three sides of a regular polygon.
The polygon has 15 sides.
The length of each side is 8 cm.
The exterior angle of the polygon is x.
BRC is a right-angled triangle.
Calculate the length of BR.
Thanks in advance

Answers

Answer:

BR is about 7.3084 cm

Step-by-step explanation:

the sum of the exterior angles of any polygon is 360. The measure ox x would be 360/15= 24

since I want BR, I will use cos (adj/hyp)

cos24=s/8

.9135=s/8

7.3084=s

Function Composition:
Let the function [tex]f(x)= 3+6x[/tex] , determine:

Answers

Answer:

Given

f(x) = 3 + 6x

A

Find the inverse of f(x):

x = 3 + 6f⁻¹(x)6f⁻¹(x) = x - 3f⁻¹(x) = (x - 3) / 6

B

f · f⁻¹( ∛5/6) = f( f⁻¹( ∛5/6)) = f((∛5/6 - 3)/6) = 3 + 6((∛5/6 - 3)/6) =3 + ∛5/6 - 3 =∛5/6

C

f · f⁻¹(x) = f(f⁻¹(x)) = f((x - 3)/6) = 3 + 6(x - 3)/6 = 3 + x - 3 = x

ames has 268 cookies to put into bags. Each bag holds 8 cookies.

If James uses as many of the cookies as possible, how many bags can he make, and how many cookies are left over?

Enter your answers in the boxes.

Answers

Step-by-step explanation:

Total amount of cookies= 268

One bag can hold 8 cookies

268 / 8 = 33 (remainder 4)

He can make as many as 33 bags, and there are 4 cookies left over.

please helpp me with this assignment

Answers

5^3 = 125
2^-4 = 1/16
5^-2 = 1/25
2^5 = 32

Is the point (3, -2) a solution to the following system of equations? How do you know?
y=−3x+7
y=2x−8

Answers

Answer:

YES

Step-by-step explanation:

Any straight line can be represented by an equation of the form

Y = mX + b

where m is the slope and b is the Y intercept, so these two equations are lines. The only solution is where the two lines cross, so must satisfy both equations. Plugging in 3 for X and -2 for Y we get

Y = -3X + 7

-2 = -3(3) + 7

-2 = -9 + 7

-2 = -2 True

AND,

Y = 2X - 8

-2 = 2(3) - 8

-2 = 6 - 8

-2 = -2 True

So since both are true, yes (3, -2)  is the solution.

The City of Irvine upgraded a bicycle lane in a section of road to have a physical barrier between the cyclists as opposed to just a painted white line on the road. They now want to do a study to see if the bicycle lane upgrades have encouraged more people to utilize the bike lane. Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25. Test the hypothesis at the 0.05 significance level.

Answers

Answer:

The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.

Step-by-step explanation:

Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. Test if more people are using now.

At the null hypothesis, we test if the same number of people is still using, that is, the mean is 350. So

[tex]H_0: \mu = 350[/tex]

At the alternate hypothesis, we test if this mean increased, that is:

[tex]H_1: \mu > 350[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

350 is tested at the null hypothesis:

This means that [tex]\mu = 350[/tex]

After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25.

This means that [tex]n = 35, X = 405, s = 25[/tex].

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{405 - 350}{\frac{25}{\sqrt{35}}}[/tex]

[tex]t = 13.02[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 405, which is a right-tailed test with t = 13.02 and 35 - 1 = 34 degrees of freedom.

Using a t-distribution calculator, this probability is of 0.

The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.

Again, suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of 24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar. What value should you show at the center of the distribution

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\bar{x}=650\\\\\sigma =24\\\\n=36\\\\[/tex]

Calculating the sampling distribution of the sample mean:

[tex]\to \mu=\mu_\bar{x}=650[/tex]

Calculating the sampling distribution of the standard deviation:

[tex]\to \sigma_\bar{x}=\frac{\sigma}{\sqrt{n}}=\frac{24}{\sqrt{36}}=\frac{24}{6}=4[/tex]

Find the volume
Show work

Answers

Sir there seems to be a picture in your pixels.

i would assume the measurements (from left to right) is 34m 14m 20m and 14m

find the area of the triangle so split the 24 in half 12 and 12

then multiply 12*14 which is 168

i would assume the area is 168m^2

then multiply by 20m

3360m ^3

HELP ME ASAP
I NEED YOUR HELP PLS
I NEED AN ANSWER NOW

Answers

Answer:

N=21 Degrees M=122 Degrees L= 37 Degrees X=21 Degrees

Step-by-step explanation:

Add all them up then make them equal 180 degrees

9x-9 = 180

Solve

9x=180 +9

9x= 189

9x/9= 189/9

x=21

Then plug in x to find each Angle.

N (x) Degrees

N=21 Degrees

M = 6x - 4

M = 6(21) - 4

M = 126 - 4

M = 122 Degrees

L = 2x - 5

L = 2(21) -5

L = 42 - 5

L = 37 Degrees

Add or subtract. Th S. 29 + 46​

Answers

Answer:

Add I think

If there is a plus sign shouldnt it be adding

On a piece of graph paper, graph the line that passes through point (-2,3) with a slope of 2/3. Give me the coordinates of a first quadrant point that lies on this line, and has integer coordinates.

Answers

Answer:

Pic po nasan???????

Step-by-step explanation:

-_-

An angle turns through 1/360 of a circle. what is the measure, in degrees, of the angle. I really need help with this please.​

Answers

Answer:

1 degree

Step-by-step explanation:

because a circle is 360 degrees

When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 3?

Answers

Answer:

1/3

Step-by-step explanation:

there are 4 numbers total that are less than 3 and there are 12 sides total

so 4/12 would be the total and 1/3 would be simplified

big help someone clutch up for me.TIMED!!

Answers

Answer:

B. 5

Step-by-step explanation:

Given expression;

n(n - x) = 25

From the given expression, x = 0

Substitute the value of x into the given equation  and solve for n;

n(n - 0) = 25

this equation reduces to;

n(n) = 25

simplifying further to obtain the value of n;

n² = 25

n = √25

n = 5

Therefore, the correct option is  B.

Dominic's car used 8 gallons to travel 192 miles. At what rate does the car use gas, in
miles per gallon?

Answers

Answer:

24 miles per gallon

Step-by-step explanation:

to find the unit rate you divide 192 by 8 and that is 24

so it takes Dominic 1 gallon to drive 24 miles

hope this helps!

Please help me with this

Answers

Answer:

–x² + 12x + 5

Step-by-step explanation:

x² + 3x

–2x² + 9x + 5

The sum of the above expression can be obtained as follow:

.... x² + 3x

+ –2x² + 9x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

–x² + 12x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5

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