If ray NP bisects <MNQ, m<MNQ=(8x+12)°, m<PNQ=78°, and m<RNM=(3y-9)°, find the value of x and y

Answers

Answer 1

Step 1

Find the measure of angle x

we know that

If ray NP bisects <MNQ

then

m<MNQ=m<PNM+m<PNQ ------> equation A

and

m<PNM=m<PNQ -------> equation B

we have that

m<MNQ=(8x+12)°

m<PNQ=78°

so

substitute in equation A

(8x+12)=78+78-------> 8x+12=156------> 8x=156-12

8x=144------> x=18°

Step 2

Find the measure of angle y

we have

m<PNM=(3y-9)°

m<PNM=78°

so

3y-9=78------> 3y=87------> y=29°

therefore

the answer is

the measure of x is 18° and the measure of y is 29°


Answer 2

Answer: If NP bisects MNQ, MNQ=8x+12,PNQ=78, and RNM=3y-9, find the values of x and y

x= 18 y=11

Step-by-step explanation:

We know that MNQ= 8x+12

PNQ=78 and MNP is equal to PNQ

Therefore, PNQ=MNP

So since these two angles make up MNQ,

Add 78+78 which is 156

So now we need to find x

The equation to find x is 8x+12=156

8x+12=156

8x=144

x=18

Now that we know x it is time to find y.

So we know that RNM=3y-9

And we know that MNQ is equal to 156

RNM an MNQ form a straight line which means that it is equal to 180 degrees

So the equation to find y is 3y-9+156=180

3y-9+156=180

3y+147=180

3y=33

y=11

So in conclusion, x=18 and y=11

Hope this helped! :3


Related Questions

Which statement is not true about General Edward Braddock?A.He captured Fort Duquesne.B.He was killed in battle.C.He did not respect colonial soldiers.D.He ignored early early warnings

Answers

Answer:

A. He captured Fort Duquesne.

Step-by-step explanation:

General Edward Braddock was fatally injured in the battle field and died of wounds. He insisted upon using open field tactics which turned out to be very fatal leading to the death of 1000 soldiers. He did ignore the early warnings of his aides regarding his strategy.

A British force led by General Edward Braddock, moving to take Fort Duquesne, was defeated by a force of French and Canadian troops under Captain Daniel Liénard de Beaujeu with its American Indian allies.

Consequently, he failed to capture Fort Duquesne. So statement A is not true.

What is the product? Enter your answer as a fraction, in simplified form, in the box. −4/5⋅10/16

Answers

Answer:

-1/2

Step-by-step explanation:

-4 x 10= -40

-5 x 16= -80

-40 is half of -80, so the fraction would be -1/2

Hope this helps! <3

The product of the given expression of a fraction is -1/2.

It is required to find the product.

What is fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given:

The product of the given expression of fractions in simplified form.

According to given question we have,

[tex]\frac{-4}{5} *\frac{10}{16} \\\\=\frac{-40}{80} \\\\=\frac{-1}{2}[/tex]

so, the fraction would be -1/2.

Therefore, the product of the given expression of a fraction is -1/2.

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_______ of functions are roots of polynomial equations. Zero(s) minimum(s) maximum(s) y-intercept(s)

Answers

zeros are where the function crosses the x axis, also called the root

Two thirds of a number is 18work out five ninths of the number

Answers

(2/3) * x = 18
2x / 3 = 18
2x = 18*3
2x = 54
x = 54/2
x = 27

(5/9) * 27 = y
27*5 / 9 = y
135 / 9 = y
y = 15

968,000 in Scientific notation with exponents

Answers

Answer:

9.68E5

Step-by-step explanation:



Which best describes the association shown in the scatter plot?

A.strong positive

B.strong negative

C.moderate negative

D. no association

Answers

A- Strong Positive


Hope this helps!

Answer:

A- Strong Positive

Hope this helps!

Step-by-step explanation:

Is the function even odd or neither

Answers

Answer: Neither

The function is not even because it doesn't have y axis symmetry. In other words, reflecting it over the vertical y axis means it doesn't line up with itself. The left half is different from the right half.

The function isn't odd either. Why not? Because rotating it 180 degrees around the origin has the function curve looking completely different. A point like (3,6) will rotate to (-3,-6) which is not on the orange curve. This is just one counter-example as to why the function is not odd.

Final answer:

In mathematics, a function is classified as Odd or Even based on its symmetry. An Even function has symmetry about the y-axis while an Odd function has rotational symmetry. A function could also be neither even nor odd if it doesn't meet these criteria.

Explanation:

In mathematical terms, a function can be classified as Even if it meets the criteria of y(x) = y(-x), meaning it has symmetry about the y-axis. A function is classified as Odd if it meets the criteria of y(x) = -y(-x), meaning it is the mirror image of itself about the origin, or it has rotational symmetry.

Let's take some examples: even function is the square function x², and an odd function is the cubic function x³. The combination results could vary: an even function times an even function results in an even function, an odd function times an odd function results in an even function, whereas an odd function times an even function results in an odd function.

However, it's important to note that a function could also be Neither even nor odd. This happens if the function does not meet any of the above-mentioned criteria for even or odd functions.

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Marla believes she has a 3/8 probability of being selected to head a committee. What is the probability that she won't be selected to head the committee?

A) 3/8
B) 1/2
C) 5/8
D) 3/4

Answers

The only other outcome than being selected is not being selected so it must be 5/8 as 5/8+3/8=8/8 or 1

Which formula can be used to determine the total number of different eight-letter arrangements that can be formed using the letters in the word DEADLINE?
A.
8!
B.
8!/4!
C.
8!/2!+2!
D.
8!/2!*2!

I think the answers D but im not sure

Answers

Answer:

Option D

Step-by-step explanation:

See the letters in the word deadline.

We have d and e repeated twice , and a,l,i,n once.

There are in total 8 letters

These 8 letters can be arranged in 8x7x6...1 = 8! ways

But since there are repititions of letters, we have 2! x 2! times repeated letters.

Hence we have to divide by 2!x2!

No of ways = [tex]\frac{8!}{2!*2!}[/tex]

Option D is right

Round the nearest whole percent what is 49 to 149

Answers

Answer:

33%

Solution:

Percentage = 49/149 * 100

                   = 32.88%

Round the answer:

                            = 33%

100 points please help!! The following data show the number of dogs per house in a neighborhood: 2, 1, 3, 2, 1, 4, 1, 5, 2, 1, 3, 1 The data have been organized into a dot plot, as shown below: A dot plot with integers 1 to 5 is shown. It is labeled Dogs, and titled Dogs in Houses. There are 4 dots above 1, 3 dots above 2, 2 dots above 3, 1 dot above 4, and 1 dot above 5. For which number are the data plotted incorrectly?

A. 4
B. 3
C. 2
D. 1

Answers

D would be your answer

Hey there! The correct answer is D.1 the reason is because the number of the data is plotted incorrectly.


An investment firm wants to create a billboard that displays an enlarged $1,000,000 bill. The actual size of the bill is 2.61 inches by 6.14 inches. If the billboard is 48 feet wide, what's the scale of the bill to the billboard?

A. 1′ = 8.71″
B. 1′ = 7.81″
C. 1″ = 8.71′
D. 1″ = 7.81′

Answers

We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.

We know both data, then we perform the operation:

48 feet /6.14 inches = 7.81 feet / inches


Therefore the correct answer is option D. 1″ = 7.81′

For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.

Write the linear factorization of f(x)=x^4 - 2x^3 + 2x - 1

Answers

[tex]f(x)=x^4-2x^3+2x-1=x^4-x^3-x^3+x+x-1\\\\=x^3(x-1)-x(x^2-1)+1(x-1)\\\\=x^3(x-1)-x(x^2-1^2)+1(x-1)\\\\=x^3(x-1)-x(x+1)(x-1)+1(x-1)\\\\=x^3(x-1)+(x-1)(-x(x+1)+1)\\\\=(x-1)(x^3-x(x+1)+1)\\\\=(x-1)(x^3-x^2-x+1)\\\\=(x-1)[x^2(x-1)-1(x-1)]\\\\=(x-1)(x-1)(x^2-1)\\\\=(x-1)(x-1)(x^2-1^2)\\\\=(x-1)(x-1)(x-1)(x+1)[/tex]

[tex]Used:\\\\a^2-b^2=(a-b)(a+b)[/tex]

Julie has 2 email accounts she checks one of them every two hours the other she checks every 24 hours. She checked each account on Monday at 2pm when will she check each account at the same time?

Answers

I think next Saturday

Answer:

She will checked each account on Tuesday at 2 pm.

Step-by-step explanation:

Consider the provided information.

Julie has 2 email accounts she checks one of them every two hours the other she checks every 24 hours.

In order to solve this first find the LCM of both numbers.

2 = 2×1

24 = 2×2×2×3

The LCM of 2 and 24 is 24.

Thus, she will check each account at the same time after 24 hours.

It is given that she checked each account on Monday at 2pm.

That means after 24 hours of Monday 2 pm she will again check each account at the same time.

Hence, she will checked each account on Tuesday at 2 pm.

Kim is paid $78 for 6.5 hours of work. What is her rate of pay per hour?

Answers

$78= is the money paid to you
6 1/2 = time you rendered for work
6 and half = 6.50 hours or 6 hours and 30 minutes

Answer:


78 dollars /6.5 hours = 12 dollars .
Your rate is 12 dollars per hour.

Answer:

Answer:



78 dollars /6.5 hours = 12 dollars .

Your rate is 12 dollars per hour.


Step-by-step explanation:


when simplifying an expression that contains no parentheses, you always multiply before you divide.

True

or

False

Answers

Answer:

I think the answer is false I am not A 100%sure but most likely false

Step-by-step explanation:


A cylindrical tank is half full of oil. The cylinder has a base radius of 100cm. The height of the cylinder is 250cm. 1litre=1000cm How many litres of oil are in the tank

Answers

≈ 3927 litres

the volume (V) of a cylinder is calculated using the formula

V = πr²h ( r is the radius of base and h is the height )

V= π × 100² × 250 = 7853981.634 cm³

[tex]\frac{1}{2}[/tex] V = 3926990.817 = [tex]\frac{3926990.817}{1000}[/tex] ≈ 3927 litres



please help on this one?

Answers

m = [tex]\frac{1}{2}[/tex],   (x₁ , y₁) = (-2, -4)

y - y₁ = m(x - x₁)

y -(-4) = [tex]\frac{1}{2}[/tex](x - (-2))

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

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

     y = [tex]\frac{1}{2}x[/tex] - 3

Answer: A

Find the value of x (3x+31)° (2x-6)°

Answers

Angle (3x+31)° and angle (2x-6)° are supplementary angles. Then the value of the variable x is 31°.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Angle (3x+31)° and angle (2x-6)° are supplementary angles. Then we have

(3x + 31)° + (2x - 6)° = 180°

5x + 25° = 180°

5x = 155°

x = 31°

Then the value of the variable x is 31°.

Your question was incomplete, probably the question was...

Find the value of x. Angles (3x+31)° and (2x-6)° are supplementary angles.

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The value of  x equals 31°.

The value of (x) can be found by solving the equation formed by the two angles in the given question:

Given angles:

Angle 1: [tex](3x + 31)^\circ[/tex]Angle 2: [tex](2x - 6)^\circ[/tex]

Linear pair property:  The sum of the measures of two angles forming a linear pair is (180°).

Now,

Set up the equation: (3x + 31) + (2x - 6) = 180

=>  (3x + 2x) + (31 - 6) = 180

=> 5x + 25 = 180

Solve for (x):  5x = 155 =>  x = 31

Therefore, the value of (x) is 31°.

Disclaimer : I attached the image of complete question

what is the value xy under w if x=-3 y=4 and w=-6

Answers

[tex]\frac{w}{xy} = \frac{-6}{-3(4)} = \frac{-6}{-12} = \frac{1}{2}[/tex]

Answer: [tex]\frac{1}{2}[/tex]

What is the focus of the parabola given by `-(1)/(4)(y + 2)^2 = (x −1)`? A. (-1, 2) B. (1, -2) C. (0, -2) D. (0, 2)

Answers

The correct answer is that the focus is, (0,−2)

Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

[tex]-\frac{1}{4}(y+2)^2=(x-1)[/tex]

Multiply both the sides by -4.

[tex](y+2)^2=-4(x-1)[/tex]            .... (1)

Where, (h,k) is vertex and (h+p,k) is focus.

The standard form of a parabola is

[tex](y-k)^2=4p(x-h)[/tex]              ..... (2)

From (1) and (2), we get

[tex]k=-2,h=1,4p=-4\Rightarrow p=-1[/tex]

The focus of the parabola is

[tex](h+p,k)=(1-1,-2)=(0,-2)[/tex]

The focus of the given parabola is (0,-2). Therefore the correct option is C.

Human body temperatures have a mean of 98.20 degrees Fahrenheit and a standard deviation of 0.62 degrees Fahrenheit. Convert 103.00 degrees Fahrenheit to a z-score and determine if it is usual of unusual. Unusual means that the z-score is more than 2 standard deviations below or above the mean.

Answers

Answer:

z-score will be:  7.741....  and it will be unusual.

Step-by-step explanation:

Human body temperatures have a mean of 98.20 degrees Fahrenheit and a standard deviation of 0.62 degrees Fahrenheit.

So here,  [tex]\mu= 98.20[/tex] and [tex]\sigma= 0.62[/tex]

Formula for z-score is:   [tex]z= \frac{X-\mu}{\sigma}[/tex]

Thus, the z-score for 103.00 degrees Fahrenheit will be.......

[tex]z(X=103.00)= \frac{103.00-98.20}{0.62}=7.741...[/tex]

As, here the z-score is more than 2 standard deviations above the mean, so 103.00 degrees Fahrenheit is unusual for human body temperature.

ok ok THIS is the part 2 to my last question

Answers



an = an - 1 + 6 where a1 = 4

[tex]a_1=4\\\\a_2=4+6=10\\\\a_3=10+6=16\\\\a_n=a_{n-1}+6,\ a_1=4[/tex]

635/72=-5/4(-11/4+x)
Please help me, and show work.

Answers

I got like that
Good luck

please answer all of them with work will give brainliest

Answers

E. n = 3

N. x = -6

A. x = 4

H. t = 10

E. v = -5

I. x = -8

T. y = 2

A. m = -16

Y. k = 7

S. x = -1

T. d = -12

F. u = 29

C. y = 1



E. 20n - 28 =10n+2

10n= 30

n=3

N. 9x+27 =4x-3

5x = -30

x= -6

A.   24-16x =x-11x

     24 = 6x

x= 4

H .  3t + 16t-48= 2+14t

5t =50

t= 10

E.  2v+18= 16 -4v -28

6v  = -30

v=-5

I.  4x-9 +3x=8x-1

x=8

T.  24+12y =10y+40

2y =16

y=8

At a car dealership yesterday, the ratio of minivans sold to cars sold was 3:5, I'd the dealership sold 12 minivans, how many were sold?

Answers

It's b

Hope I'm right

If minivans and cars were sold at a 3:5 ratio each day and there were 12 minivans sold yesterday they would have sold 20 cars.

You can find this by dividing 12(the number of minivans sold) by 3(the ratio of vans v.s. cars), which equals 4. To find the amount of cars sold, use the same method, only multiply with by the ration of cars. 5*4 = 20

PLEASE HELP !! IT WOULD BE GREATLY APPREACIATED ! I DONT KNOW HOW TO DO THIS

Answers

(A) Bella's TV ratio of sides: 36"/27" = 1.333...

Lenny's: 52"/29.25" = 1.777...

Bella's and Lenny's TVs are NOT similar - their side ratios are different. Bella's is 4:3 while Lenny's is close to 16:9.

(B) Bella's TV has an exact ratio of 4:3 (36/27=4/3) and so is the older type.

Lenny's TV has a ratio of 52"/29.25". Divide both 52 and 29.25 by 3.25 to get 16/9, or 16:9. So Lenny's is the newer type.


Find f(3) 1 point Multiple choice + Graph!

Answers

we know that

f(3) is the value of the function when x is equal to 3

so

For x=3

see in the graph

f(3)=6

see the attached figure

therefore

the answer is

f(3)=6

According to the graph in the problem, f(3) = 6

How to find the value

In the graph we have curve and line. we look out for domain of 3

The domain of 3 is the point on the graph where x axis is 3. At this point we trace to the graph and find the corresponding value on the y axis

This gives the solution of the graph

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**PLEASE HELP 30 POINTS**


How many different sets of two-letter initials can you make using the letters D, G, M, D, and T if you can use each letter only once in a set?

Answers

you can make 10 sets

Two cars leave a gas station at the same time, one traveling north and the other south. The northbound car travels at 50 mph. After 3 hours the cars are 345 miles apart. How fast is the southbound car traveling?

a.
60 mph
b.
65 mph
c.
70 mph
d.
75 mph

Answers

For this case we have:

We define the following variable

x : Speed of the car in South direction

By definition, we know that:

[tex]Distance = Speed * Time[/tex]

For the car in north direction:

[tex]D1 = V1 * T1\\D1 = 50mph * 3h\\D1 = 150 miles[/tex]

For the car in south direction:

[tex]D2 = V2 * T2\\D2 = x * 3\\D2 = 3x[/tex]

The distance between both cars, after 3 hours, is:

[tex]D = D1 + D2[/tex]

So, we have:

[tex]345 = 150 + 3x[/tex]

Clearing x;

[tex]3x = 345-150\\3x = 195\\x = 65[/tex]

Thus, the speed of the car in the south direction is [tex]x = 65mph[/tex]

Answer:

Option B


Answer: B. 65 MPH

Step-by-step explanation:

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