In ANOP, NP is extended through point P to point Q, m_OPQ = (9x – 19)°,
mZPNO = (2x + 5), and mZNOP = (3x + 16º. Find mZNOP.

Answers

Answer 1

Answer:

The values of x and y are x = 6 and y = 9Step-by-step explanation:

MNOP is a parallelogram its diagonal MO and PN intersected at point A

In any parallelogram diagonals:

Bisect each other

Meet each other at their mid-point

In parallelogram MNOP

∵ MO and NP are its diagonal

∵ MO intersect NP at point A

- Point A is the mid-point pf them

∴ MO and NP bisect each other

∴ MA = AO

∴ PA = AN

∵ MA = x + 5

∵ AO = y + 2

- Equate them

∴ x + 5 = y + 2 ⇒ (1)

∵ PA = 3x

∵ AN = 2y

- Equate them

∴ 2y = 3x

- Divide both sides by 2

∴ y = 1.5x ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ x + 5 = 1.5x + 2

- Subtract 1.5x from both sides

∴ - 0.5x + 5 = 2

- Subtract 5 from both sides

∴ - 0.5x = -3

- Divide both sides by - 0.5

∴ x = 6

- Substitute the value of x in equation (2) to find y

∵ y = 1.5(6)

∴ y = 9

The values of x and y are x = 6 and y = 9


Related Questions

Kaitlyn purchased a new car 39 months ago for $18791. She has been paying $197.43 per month. How much does Kaitlyn still owe for her car?

Answers

Answer:

$11091.23

Step-by-step explanation:

Reword the situation:

She purchased a car for 18791 dollars 39 months ago.

As the 39 months passed she has been paying 197.43 a month.

How much does she still owe for her car?

First find out how much she's paid so far.

For 39 months she has been paying 197.43 a month

So, so far she's payed a total of 197.43 * 39 = 7699.77 dollars

Now subtract amount she's paid so far from total price of car.

18791 - 7699.77 = 11091.23

She still owes 11091.23

Pls help I am desperate

Answers

follow the steps shown on the photo

9514 1404 393

Answer:

  7/5x -1/3

Step-by-step explanation:

We assume you want to simplify this expression.

  [tex]\dfrac{-3}{5}x-\dfrac{1}{4}\cdot\left(-8x+\dfrac{5}{6}\right)-\dfrac{1}{8}\\\\=-\dfrac{3}{5}x+\left(-\dfrac{1}{4}\right)\cdot(-8x)+\left(-\dfrac{1}{4}\right)\cdot\left(\dfrac{5}{6}\right)-\dfrac{1}{8}\\\\=\left(-\dfrac{3}{5}+2\right)x-\left(\dfrac{5}{24}+\dfrac{1}{8}\right)\\\\=\dfrac{7}{5}x-\dfrac{5+3}{24}=\boxed{\dfrac{7}{5}x-\dfrac{1}{3}}[/tex]

_____

Additional comment

2 = 10/5; 1/8 = 3/24; 8/24 = 1/3. The x-terms get combined and the constants get combined. It is generally helpful to eliminate parentheses first using the distributive property.

Joy has ₱500.00 to spend for food. She spent ₱98.75 on Monday, ₱73.75 on Tuesday and ₱50.25 on Wednesday. How much money was left? with solution pls​

Answers

Answer:

₱277.25

Step-by-step explanation:

₱500.00 - ₱98.75 - ₱73.75 - ₱50.25 = ₱277.25

GIVING 100 POINTS AND BRAINLIEST IF CORRECT! You recently upgraded your experience by buying an Controller for $74.99 and an Game Pass Subscription for $14.99 per month.

Answers

Answer:

Part A: It's linear because it increases at a constant rate of 14.99 dollars per month

Part B: C = 14.99M + 74.99 (y = 14.99x + 74.99)

Step-by-step explanation:

Part A: Every month, you have to pay the same amount.

1 month = 14.99

2 months = 14.99 + 14.99

3 months = 14.99 + 14.99 + 14.99

So, it's linear.

Part B: We have to use the formula y = mx + b, or slope-intercept form, to represent the total cost per month.

m = slope,   b = y-intercept (initial value)

Let's have the total cost  be represented as C

Let's also have the subscription per month be represented as M

So, C would = 74.99, because we only need to pay for a controller once

But we also our subsription per month, M, as 14.99.

So our final answer would be C = 14.99M + 74.99, or y = 14.99M + 74.99 if you can't make your own variables

I wanted to get more indepth. Try adding this to notes! <3

Jared's car can travel 320 miles on 1 tank of gasolin. The gas tank of his car holds 22.4 gallon. If one gallon of gas costs $3.46, how much did he pay in gasif he travelled 563 miles. Round answer to nearest hundredth.

Answers

Answer:

39.8, $51.00

Step-by-step explanation:

assume that y varies directly as x. if y=7 when x=4, find y when x=12

Answers

Answer:

y = 21

Step-by-step explanation:

since y = 7 as x = 4, therefore, when x = 12, y = 21

Think about it. if you divide 7 by 4, you get 1.75 and if you divide 21 by 12, you get 1.75. That means that from 4 to 12, I multiplied by 3, so therefore, y = 21.

Can someone help me with this question?

Answers

Answer:

4.39%

Step-by-step explanation:

- chefs/head was facing the larger percent decrease

- by this much:

[tex] \frac{ 100 - x }{100} = \frac{95700}{100100} \\ \\ x = \frac{400}{91} \\ \\ x = 4.39\%[/tex]

What is the axis of symmetry for f(x) = 2x2 − 4x + 5? x = −2 x = −1 x = 1 x = 2

Answers

Step-by-step explanation:

for a quadratic equation

y = ax² + bx + c

the x value for the axis of symmetry is

x = -b/(2a)

in our case

y = 2x² - 4x + 5

a = 2

b = -4

x = - -4/4 = 4/4 = 1

x = 1 is the correct answer.

Leah ran the mile in 12.08 minutes
on Tuesday. She ran the mile 1.42
minutes faster on Thursday. How
long did it take Leah to run the mile
on Thursday? PLEASE

Answers

Answer:

12.08-1.42=10.66

it takes 10.66 minutes on Thursday to run a mile

What temperature should I cook this

Answers

fish or while or you or ne or sex

Answer:

350

Step-by-step explanation:

you should cook it between 350-365

What is the value of x? Enter your answer in the box. X=​

Answers

Check the picture below.

Answer:

x=50

Step-by-step explanation:

1. equal the equations to each other: 2(x+10)=3x-30

2. distribute the 2 to x+10: 2x+20=3x-30

3. subtract 2x from both sides, and add 30 to both sides: x=50

what are the first 4 multiples of 4.

Answers

Answer:

the first 4 multiples of 4

Multiples of 4: 4, 8, 12, 16,

Step-by-step explanation:

Answer:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …

Step-by-step explanation:

please mark as brainlist

pls help I have headache i try everything ​

Answers

Answer:

210 students

Step-by-step explanation:

30%=63

10%=63÷3

      =21

100%=21×10

        =210

participants were asked overall do you approve or disapprove a normal model is appropriate fit for the sampling distributions of sample differences true or false

Answers

Answer:

false

Step-by-step explanation:

Hello can someone please help me with this

Answers

Answer:

c)

Step-by-step explanation:

my guess is if she needs 1.04 tablets a day, and 1 tablet is closer to that than any other option listed

Years Since
1970
7
9
17
21
Cost in
Millions
0.1
0.25
0.5
0.75
1.2
1.5
2.2
2.0
2.2
25
29
30
31
33

Linear equations

Answers

Answer:

thanks for the points bye bye man is well with you and your family a very happy and prosperous New year

Step-by-step explanation:

thanks for the points bye bye man is a longest time I thought you were going to you angel I love you too baby girl and I will be in

thanks for the points bye bye man

hi there please explain how to solve or factorise this as i dont know the formula plus how to do ?:)
(x^2+1)?​

Answers

Steps:

Writing down the equation. x^2 + 1 = 0.Subtract 1 from both sides. x^2 = -1Square root (I am going to use the abbreviation sqrt) on both sides. x = sqrt (-1)sqrt (-1) is simplified as i (or imaginary number). Because of the sqrt, it would be plus or minus.(x+i)(x-i) is your answer. If you are in a lower math class (mentioning 10th grade or below), you should just put no solution.

Hello,

We cannot factorize this binomial expression using normal factorization method.

if you have studied complex numbers method, then you can solve.

Here are the steps :-

[tex]{x}^{2} = (x)(x)[/tex]

[tex]→1 = (i)( - i)[/tex]

Now multiply,

[tex](x)(i) + (x)( - i) = (xi) - (xi) = 0[/tex]

[tex]→(x + i)(x - i)[/tex]

Therefore, the factors are (x+i)(x-i) :-

[tex]→ {x}^{2} = (x + i)(x - i)[/tex]

6
What number should the numerator and denominator of be multiplied by to show that is equivalent to 24 22
3
4

12
36

Answers

Answer:

The answer is 12

6×12= 24

6×12=72

what is 42=-7(z-3)Z=

Answers

Answer:

42=7z^2+21z

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

42=-7(z-3)

42=-72-21

+21       +21

63/-7=-72/7

z=-9

i inserted a picture of the question can you please make it short

Answers

Answer:

C.  12    is the correct answer

Step-by-step explanation:

1.2 x 10¹²

(I am giving branlest) (plz help only if you understand )



Solve one seventh plus nine fourteenths equals blank


A ten fourteenths

B eleven fourteenths

C ten sevenths

D eleven sevenths

Answers

Answer:

its 11/14 so its B hope this helps

Type the correct answer in the box.
Winston is creating a rectangular piece of 8-bit art using squares that are x pixels wide. The length of the rectangular piece, in pixels, is represented by the function l(x) = x + 24, and the width of the rectangular piece is represented by w(x) = x + 16.

Write the standard form of the function which describes the total area of the rectangular piece, a(x), in terms of x, the side length of each square pixel.

Answers

Area=l×w

Function:-

[tex]\\ \sf\longmapsto (l*w)(x)[/tex]

[tex]\\ \sf\longmapsto l(x)*w(x)[/tex]

[tex]\\ \sf\longmapsto (x+24)(x+16)[/tex]

[tex]\\ \sf\longmapsto x^2+40x+384[/tex]

Multiple choice what is -1.8 - 3.9=

Answers

Answer:

1. -5.7

Step-by-step explanation:

When a negative number and another negative number are being added together (but this differs in multiplication and division though), the answer will always be negative, unless a greater positive (combination or single) number is being added to those, but in this case, it is just two negative numbers. What you can do here is add the absolute values of the negative numbers, which would be 1.8 + 3.9, since absolute values are always positive numbers. Once you add these values, which gives you 5.7, you make the answer negative, because before, you were adding negative numbers, so your answer would be -5.7.

Just so you can make sure your answers are correct for the next ones:

2. -2

3. -4.4

Determina el resultado de la siguiente operación -2 -7 -9

Answers

Answer:

Step-by-step explanation:

(43)*(29)

explicación paso a paso:

en una operación matemática (*) se denomina como (×)

(43)*(29)=

43×29

______= 1,274

A pack of dog food that weighs 5 kg cost $20. A smaller pack of dog food that is 500 g costs $2.50. Which one has better value?

Answers

Answer:

Step-by-step explanation:

      $20 / 5 kg = $4 / kg

$2.50 / 0.5 kg = $5 / kg

the big bag is a better deal

The slope intercept form of a linear equation is given by AX true or false

Answers

The slope intercept form is y=mx+b.

Help! Give brainliest!

City A grows by 5% every year. In 2001, it has a population of 145,201. What will the population be in 2037?

Answers

Initial population=145,201

Total years=2037-2001=36

[tex]\\ \sf\longmapsto S=P\left(1+\dfrac{r}{100}\right)^t[/tex]

[tex]\\ \sf\longmapsto S=145201\left(1+\dfrac{5}{100}\right)^{36}[/tex]

[tex]\\ \sf\longmapsto S=145201\left(\dfrac{105}{100}\right)^{36}[/tex]

[tex]\\ \sf\longmapsto S=145201(1.05)^{36}[/tex]

[tex]\\ \sf\longmapsto S=145201(5.79)[/tex]

[tex]\\ \sf\longmapsto S\approx 840713[/tex]

>> Answer

___________

[tex]\:[/tex]

Answer in the picture.

Helppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

just find a new photo

Select the sequence of transformations that are the inverse of rotating a figure 90° counterclockwise and then reflecting it over
the x-axis.
-))
A)
Reflect it over the line y = -x and then reflect it over the x-axis.
B)
Rotate the image 270° counterclockwise and then reflect it in the x-axis.
Rotate the image 180° counterclockwise and then reflect it in the x-axis.
D)
Reflecting it over the x-axis, then over the y-axis and finally over the line y
= X

Answers

B is the answer because it results in the shape being opposite of the original.

72 boxes out of 90 sold what percentage sold

Answers

Answer:

is what is the math thing at you need help with huh

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