find ML, JK=3x+11, ML=10x-12, NP=45

Answers

Answer 1

Answer:

[tex]ML = 58[/tex]

Step-by-step explanation:

Given

[tex]JK=3x+11, ML=10x-12, NP=45[/tex]

See attachment

Required

Length ML

First, calculate x using the following equivalent ratios

[tex]JK : NP = NP : ML[/tex]

Express as fraction

[tex]\frac{JK }{ NP} = \frac{NP }{ ML}[/tex]

Cross Multiply

[tex]JK * ML = NP * NP[/tex]

Substitute values:

[tex](3x +11) * (10x - 12) = 45 * 45[/tex]

Expand

[tex]30x^2 - 36x + 110x - 132 = 2025[/tex]

[tex]30x^2 +74x - 132 = 2025[/tex]

Collect like terms

[tex]30x^2 +74x - 132 - 2025=0[/tex]

[tex]30x^2 +74x -2157=0[/tex]

Using a calculator:

[tex]x \approx -10[/tex] and [tex]x \approx 7[/tex]

Given that:

[tex]ML=10x-12[/tex]

Substitute values for x

[tex]ML=10*-10-12 = -100 - 12 = -112[/tex]

[tex]ML=10*7-12 = 70 - 12 = 58[/tex]

ML cannot be negative; So:

[tex]ML = 58[/tex]

Find ML, JK=3x+11, ML=10x-12, NP=45

Related Questions

22,5,22,13,12,24,24,9,24,19 range mean median and mode

Answers

Answer:

19 is the range.

17.4 is the mean.

20.5 is the median.

24 is the mode.

Step-by-step explanation:

Range - The difference of the largest number and the smallest numberMean - To calculate the mean, add up all the numbers, then, divide the sum by the count.Median - The "middle" number after putting the numbers in numerical orderMode - The most frequently appearing numbers

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

22, 5, 22, 13, 12, 24, 24, 9, 24, 19.

Now that we know what these words mean, we can solve this.

Range: 24 - 5 = 19

19 is the range.

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

Now, let's calculate the mean.

Mean: 22 + 5 + 22 + 13 + 12 + 24 + 24 + 9 + 24 + 19 = 174

There are 10 numbers in total.

174 ÷ 10 = 17.4

17.4 is the mean.

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

5, 9, 12, 13, 19, 22, 22, 24, 24, 24

In this case, there are two medians.

So to find the median, we have to add both the medians of this data set, then, divide the sum by 2.

19 + 22 = 41

41 ÷ 2 = 20.5

20.5 is the median.

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

5, 9, 12, 13, 19, 22, 22, 24, 24, 24

24 appears the most; 24 is the mode.

In the figure below,S is between Q and T and R is the midpoint of QS. If RT=9 And RS=4 find QT

Answers

Answer:

QT = 13

Step-by-step explanation:

since R is the midpoint of QS, QR = RS = 4

QT = RT + QR = 9 + 4 = 13

For the following hypothesis test, determine the null and alternative hypotheses. Also, classify the hypothesis test as two-tailed, left-tailed, or right-tailed. The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months. A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
Choose the correct null and alternative hypotheses below.
A. H0: μ = 22.1 months
Ha: μ > 22.1 months
B. H0: μ = 22.1 months
Ha: μ 22.1 months
C. H0: μ = 22.1 months
Ha: μ < 22.1 months
D. H0: μ > 22.1 months
Ha: μ = 22.1 months
E. H0: μ 22.1 months
Ha: μ = 22.1 months
F. H0: μ = 22.1 months
Ha: μ > 22.1 months
Which of the following is the correct classification of the hypothesis test?
A. Two-tailed
B. Left-tailed
C. Right-tailed

Answers

Answer:

Option B:

[tex]H_0: \mu = 22.1[/tex]

[tex]H_a: \mu \neq 22.1[/tex]

Classification:

The hypothesis test is Two-tailed.

Step-by-step explanation:

The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.

This means that the null hypothesis is that the mean is of 22.1 months, that is:

[tex]H_0: \mu = 22.1[/tex]

A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.

At the alternate hypothesis, we test if this mean is different of 22.1, that is:

[tex]H_a: \mu \neq 22.1[/tex]

Which means that the answer is given by option b).

Which of the following is the correct classification of the hypothesis test?

We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.

i will give Brainiest if your right

Answers

The answer is G because 5(2+x) simplified is 10+5x. (5 times 2 is 10, and 5 times X is 5x)

HELP HELP I WILL GIVE ALL POINTS JUST HELP ME DO THIS ONE

Answers

Answer:

5.6

Step-by-step explanation:

also can u give me brainly and yw

What is the value of P for the following triangular prism? 19 yd 7 yd 35 yd 12 yd

Answers

Answer: 12 yards

Step-by-step explanation:

I just had this question and 12 was the answer! May I have brainliest please?

The value of P for the following triangular prism, 12 yd

What is Perimeter of prism?

Perimeter is the distance around the edge of a shape.

Perimeter of the prism = side + side + side

                                      = 5+4+3

                                      = 12 yd

Hence, the value of P = 12 yd

Learn more about perimeter here:

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HELP ME PLEASEEEEEEEEEEE

Answers

Negative 5 through positive 2

Answer: -5,1

Step-by-step explanation: Hope this help :D

Please answer 15 and 16 hurry pls!!

Answers

Answer:

15) letter A

16) letter C

Step-by-step explanation:

Used a graphing calculator,

hope this helps.

determine the value of x in the equation below. (3a3)x=27a9

Answers

Answer:

[tex]x = 9 {a}^{6} [/tex]

Step-by-step explanation:

[tex] = > {3a}^{3} x = 27 {a}^{9} [/tex]

[tex] = > {a}^{3} x = \frac{27a^{9} }{3} [/tex]

[tex] = > {a}^{3} x = 9a ^{9} [/tex]

[tex] = > x = \frac{9 {a}^{9} }{ {a}^{3} } [/tex]

[tex] = > x = 9a^{9 - 3} [/tex]

[tex] = > x = 9 {a}^{6} [/tex]

hence, the answer is x = 9a⁶.

Xander’s adult cat weighs 2,918 grams. As an 8-week old kitten, Xander’s cat weighed 640 grams. What is the percent increase in the kitten’s weight rounded to the nearest whole number?

Answers

Answer:

356%

Step-by-step explanation:

Incease in weight

2,918 - 640 = 2,278

% increase

p = increase / original  * 100%

p = 2,278 / 640 * 100

p = 355.9375%

Rounded

356%

An isosceles trapezoid has sides lengths of 8, 11, 8, and 15. Find the length of the midsegment.

Answers

Answer:

You'll find the Answer on the bottom, If you want me to just say the answer mark me brainlist (Click brainlist next to my user)

Step-by-step explanation:

Minset length equals (-2+3x).

One Base is 13.

Another base is (x+3).

Write the equation of the line that passes through the points (7, -3) and (7, 0).

Answers

Answer:

x = 7

Step-by-step explanation:

Since the x- coordinates of the 2 points are equal, both 7 , then the line is vertical with equation

x = c

where c is the value of the x- coordinates the line passes through, then

x = 7 ← equation of line

Answer:

I hope this is right, im not sure because they are coincides or the same lines when overlapped, but I tried.

3x+0

Step-by-step explanation:

Using the formula mx+b we can get our answer.

We know that the two points pass through (7, 0)

mx+b is (slope)x+(y-intercept)

The slope of the two lines is 3 so we can replace m for 3:

3x+b

the y-intercept does not exist for these two lines as they are coincides, so we can just put it at 0, so we now have our equation 3x+0.

For the Past year, national percentages of people's preference in car color are as follows: White: 35%, Silver: 28%, Blue: 24%, Red: 10%, Other: 3% Of the 9,000 people who bought cars in San Jose recently, the following is the record of colors: White 3,145; Silver 2510; Blue 2,165; Red 905; Other 275 Use "Goodness of Fit Test" and the Chi Square distribution What is the value of the Chi Square Test Statistics for this problem to the nearest third decimal place? What is the p value for chi square?

Answers

Answer:

35%

Step-by-step explanation:

If 2 - 8 = -6, which of the following must be true?

Answers

Answer:

fefsf

Step-by-step explanation:

eff?

Answer:

you should add the question/statement so people could answer the question!

Step-by-step explanation:

a golden padlock weighs 4/5 of a pound, but only 3/4 of the padlock is real gold. How many pounds of real gold are in the padlock?

Answers

Answer:i dont know

Step-by-step explanation:

Help me

The real amount of gold in the padlock is 3 / 5 pounds.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a golden padlock weighs 4/5 of a pound, but only 3/4 of the padlock is real gold.

The amount of the golden padlock is calculated as,

Amount = 4 / 5 x 3 / 4

Amount = 3 / 5 pounds

To know more about an expression follow

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Solve for x. What does X =?

Answers

Answer:

x=50

Step-by-step explanation:

X=50 is correct answer

A segment has an endpoint at (2, 4) and a midpoint at (4, -2). What are
the coordinates of the other endpoint?

Answers

Answer: (6, -8)

Step-by-step explanation: endpoint 1 is 6.3 away from the midpoint. Double that makes 12.6, so find the point that is 12.6 away from the original endpoint. Using a graph helps! I personally use geogebra.

Hope this helped! Please give brainliest if it did ;)

Mental Math A typical tip in a restaurant is 15% of the total bill. If the bill is $120, what would the typical tip be? The typical tip would be $​

Answers

Answer:

18 dollars and zero cents

Step-by-step explanation:

120×15%

18$ and 20 cents big dawg

6[x-2(x-3)] simplifies to the from ax +b .

Answers

ax+b=-6x + 36
a is -6 and b is 46

Answer:

[tex]6(6 - x)[/tex]

Step-by-step explanation:

1) Expand.

[tex]6(x - 2x + 6)[/tex]

2) Collect like terms.

[tex]6((x - 2x) + 6)[/tex]

3) Simplify (x - 2x) + 6 to -x + 6.

[tex]6( - x + 6)[/tex]

4) Regroup term.

[tex]6(6 - x)[/tex]

Therefor, the answer is 6(6 - x).

Which of the following is most likely the next step in the series? ​

Answers

Answer:

(D) a hexagon......................

D because each step adds a side

ASAP help me plz!!! It’s 2 questions btw

Answers

Answer:

60

Step-by-step explanation:

I hope you understand what I wrote

Find volume and round to the nearest whole cubic yard.

Answers

The answer is ~804.244 yd^3 or 804 yd^3

100 POINTS FOR ANYONE WHO CAN ANSWER THESE! <3

Answers

Answer:

∠1 = 142°

reason: angles 1 and 2 are supplementary so they equal 180. 180-38 is 142

∠3 = 38°

reason: angles 2 and 3 are adjacent angles because they are diagonal from each other so they will equal the same measure.

∠4 = 142°

reason: since angle 4 is adjacent to angle 1 and is supplementary to angle 3, it has to be 142

∠5 = 38°

reason: since it is a transversal that means both of the intersections are the same measurements. so angle 5 is 38 since it matches up with angle 2

∠6 = 142°

reason: for the same reason as angle 5. angle 6 matches up with angle 1 so it has to equal 142.

∠8 = 142°

reason: since angle 8 is adjacent to angle 6 it has to equal 142. angle 8 is also a transverse angle to angle 4. and since angle 4 also equals 142, 8 has to also

Step-by-step explanation:

hope this helped you :)

The area of the figure is ______ sq units

Answers

121.5 units squared

i will give you brainliest and thanks and 5 star on all of my accounts on brainliest if its correct rip my points i have 9 now :(

Answers

Answer:

A) answer c ; B) X+3.7=15.3 ; C) 15.3 - 3.7 = 11.6 ---> 11.6+3.7=15.3

Step-by-step explanation:

Solution for A: First you have to look for the line underneath the bar says 15.3 as this will represent the total amount of liters in the bucket altogether. This would be bar c since we also know that we have 3.7 liters added but are missing the amount that was previously inside the bucket.

Solution for B: Let X resemble the unknown amount of water. To solve B, we need to write an equation. We know that there was already an amount of water in the bucket prior to us pouring more in so X is our first addend. We then added 3.7 liters of water to the unknown amount so that is our next addend giving you X+3.7=15.3

Solution for C: Now that we know our equation, we do the inverse operation (subtraction) in order to figure out the missing amount of water. This means we do

15.3 - 3.7 = 11.6

What is the distance between (-4, 15) and (24,-7)?
Round your answer to the nearest tenth.

Answers

871773 is the + 65 = 98164


45. Find the median of the numbers 34, 47,
46, 68, 76, 81​

Answers

Answer:

the median is 57.5

Step-by-step explanation:

Help please i really need help with this.

Answers

Answer:

Sorry too hard

Step-by-step explanation:

Kelly's little brother is exactly 3 feet tall. How tall is he in inches?

Answers

Answer:

he is 36 inches

Step-by-step explanation:

Answer:

36 inches

Step-by-step explanation:

We know that Kelly's little brother is exactly 3 feet tall, and we know how big he is in inches.

To solve first keep in mind that 1 feet is 12 inches.

Therefore if there are 3 feet, we would multiply the inches 3 times.

12 * 3

= 36

Therefore, Kelly's little brother is 36 inches.

If four is subtracted from twice a number, the result is fourteen what is the equation ​

Answers

Answer:

2x - 4 = x - 10

Step-by-step explanation:

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