In ΔMNO, \overline{MO} MO is extended through point O to point P, \text{m}\angle NOP = (7x-17)^{\circ}m∠NOP=(7x−17) ∘ , \text{m}\angle MNO = (x+20)^{\circ}m∠MNO=(x+20) ∘ , and \text{m}\angle OMN = (3x-7)^{\circ}m∠OMN=(3x−7) ∘ . Find \text{m}\angle NOP.M∠NOP

Answers

Answer 1

Answer:

∠NOP = 53°

Step-by-step explanation:

According to exterior angle theorem,

In a triangle, an exterior angle is equal to the sum of the two opposite interior angles.

∠NOP = ∠MNO + ∠OMN

Put ∠NOP = ( 7x - 17)°, ∠MNO = (x + 20)° and ∠OMN = (3x - 7)°

[tex]7x-17=x+20+3x-7\\7x-17=4x+13\\7x-4x=13+17\\3x=30\\x=10[/tex]

Therefore,

∠NOP = ( 7(10) - 17)° = (70 - 17)° = 53°


Related Questions

find the value (s) of the variables (s) in each parallelogram. ​

Answers

Step-by-step explanation:

As we can see it is a parallelogram so here the diagonals bisect so

6y + 1 = 4y + 9

6y - 4y = 9 - 1

2y = 8

y = 8 / 2

y = 4

2x - 5 =x + 7

2x + x = 7 + 5

3x = 12

x = 12 / 3

x = 4

Hope it will help :)

Hannah is putting in a tile floor. She needs to determine the angles that should be cut in the tiles to fit the corner. The angle in the corner measures 90. One piece of the tile will have a measure of 38. Write an equation, and use it to determine the measure of the unknown angle.

Answers

Answer:

equation

180=90+38+x

where x equals missing angle

x=52

Step-by-step explanation:

Hello There!

remember the sum of the interior angles of a triangle is 180

so to find the measure of the missing angle we subtract the given angles from 180

180-90-38=52

so the measure of the missing angle is 52

9) Find the measurement of angle XAW. *

Answers

Answer:

50 degrees

Step-by-step explanation:

They are verticle angles

"find the area" = _in^2

Answers

Answer:

84 in^2

Step-by-step explanation:

Answer:

84in^2

Step-by-step explanation:

First we can calculate the rectangle which would be

6*11=66

then we can calculate the triangle

we know that the base is 6, so if we cut it in half we get two triangles which could get put back together in another rectangle so we would just need to do

6*3=18

then add them together

66+18=84

Geometry review worksheet

Answers

answer:the pictures are attachedsee the answers in the attachment

You are assigned 30 math problems for homework. You complete 24 of them before
dinner. What percent of the homework have you completed? Write AND solve a
proportion or equation to calculate the solution to the question. Show work.

Answers

Answer:

You have completed 80%.

24/80=.8, .8=80%

^^(proportion)

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

You have completed 80% of your homework questoins before you ate dinner.

I need help ......................

Answers

Answer:

this is to hard

Step-by-step explanation:

7, 8 ,9 ,0 10

6. Ria purchased a car for
$14,775. Sales tax in her
county is 6.8%.
a. What is the total price of
the car including tax?

b. If she puts $2,100 down,
how much will she be
financing?

c. What will her monthly
payment be if the term of
the loan is 72 months with
an APR of 3.5%?

Answers

9514 1404 393

Answer:

  a) $15,779.70

  b) $13,679.70

  c) $210.92

Step-by-step explanation:

a) When tax is added, the total cost is ...

  total = price × (1 +tax rate)

  total = $14,775 × 1.068 = $15,779.70

__

b) The amount financed is the difference between the total cost and the down payment.

  financed = total - down35

  financed = $15,779.70 -2100 = $13,679.70

__

c) The monthly payment is found using the amortization formula. It can also be found using any of a number of financial calculators, spreadsheets, or apps.

  A = P(r/12)/(1 -(1 +r/12)^-n) . . . . annual rate r, n monthly payments, principal P

  A = $13,679.70(0.035/12)/(1 -(1 +0.035/12)^-72) ≈ $210.92

factorise (2t-7)²-(5t-4)²
with working pls​

Answers

Answer:

33+12t−21t^2

Step-by-step explanation:

(2t-7)²-(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².

4t^2−28t+49−(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².

4t^2−28t+49−(25t^2−40t+16)

To find the opposite of 25t^2

−40t+16, find the opposite of each term.

4t^2−28t+49−25t^2−40t+16

Combine 4t^2  and −25t^2  to get −21t^2.

−21t^2−28t+49+40t−16

Combine −28t and 40t to get 12t.

−21t^2+12t+49−16

Subtract 16 from 49 to get 33.

−21t^2+12t+33

Swap terms to the left side.

33+12t−21t^2

I hope this helped!

Answer all the four q

Answers

Answer:

MATHMATICS - MTHMTCS

SEPTEMBER - SPTMBR

ANCILLARY - NCLLR

PTERODACTYL-PTRDCTL

Hopefully this helps <3

The temperature at 5:00 am functions

Answers

Answer:

t2 =  37 °F

Step-by-step explanation:

t

1

=52

F

g=3

F/hr

help plss thank you -
Which statement correctly describes the number 0.81382?
A.
The number is rational because it is a terminating decimal.
B.
The number is rational because it is a repeating, non-terminating decimal.
C.
The number is irrational because it is a non-repeating, non-terminating decimal.
D.
The number is irrational because it is a repeating decimal.

Answers

A is correct! Have a good day!

0.81382 is a rational number because it is a terminating decimal.

What is rational number?

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, and also whose behavior is known.

What is irrational number?

An irrational number is a type of real number which cannot be represented as a simple fraction and also whose behavior is not known.

According to the given question.

We have a number 0.81382

The above number is not repeating but terminating.

Therefore, we can say that the above number is rational because it is a terminating decimal.

Hence, 0.81382 is a rational number because it is a terminating decimal.

Find out more information about rational and irrational number here:

https://brainly.com/question/17450097

#SPJ2

Solve the inequality and graph its solution...
3+v≤-9

Answers

Answer:

v≤-12, and the graph is left 12  

Step-by-step explanation:

plz help asap I'll mark brainliest!!!​

Answers

1280 bc if you multiply 320 by 4 that will be 1280
ANSWER

1280

EXPLINSTION

because

The driving time varies inversely with the speed of the car If a certain trip takes 40mins when you travel 50 miles per hour how many minutes would it take if you travel 40 miles per hour

Answers

Answer:

the answer is 1300

Step-by-step explanation:

thts how u get it hope this helps!!

round off 45682 in two significant figure​

Answers

Answer:

Rounded it's 46,000

Step-by-step explanation:

The answer is 46000.


Explanation:

In “45682”

‘5’ is the second significant figure.

While rounding off, we have to check the number behind the one chosen, in this case 5 is chosen. So we will look at the one behind 5 which is 6.

As 6 is larger than 5, we will round up.


The answer is 46000



Brief notes:

If the number is smaller than 5, we round down,

If the number is larger than 5, we round up.

If the number is equal to 5, we still round up.

Arthur is organising his collection of dvds he has 135 altogether. The ratio of comedy films to action horror is 6 : 8 : 1

Answers

Answer: See explanation

Step-by-step explanation:

The number of comedy films will be:

= 6/(6+8+1) × 135

= 6/15 × 135

= 54 comedy films

The number of action films will be:

= 8/(6+8+1) × 135

= 8/15 × 135

= 72 action films

The number of horror films will be:

= 1/(6+8+1) × 135

= 1/15 × 135

= 9 horror films

Please help me will give Brain

Answers

Answer: i BELIEVE YOUR ANSWER IS

.....  

B

Step-by-step explanation:

Write the equation of a line-intercept form that has a slope of 3 and a y-intercept of (0, -8)

Answers

Answer:  y= 3 x−8

Step-by-step explanation:

Answer:

[tex]y=3x-8[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept

1) Plug in the slope ([tex]m[/tex])

[tex]y=3x+b[/tex]

3) Plug the y-intercept ([tex]b[/tex]) into the equation

[tex]y=3x+(-8)\\y=3x-8[/tex]

I hope this helps!

In triangle ABC below, D,E, and F are midpoints. What is the perimeter of DEF?
4in
6in
7in
34in
17in

Answers

Answer: 34

Step-by-step explanation:

D+F+E = 12+14+8=34

Answer:

17 in

Step-by-step explanation:

DE = 1/2(14) = 7

DF = 1/2(8) = 4

EF =1/2(12) = 6

7 + 4 + 6 = 17 in

If a triangle has side lengths of 28,45, and 50, is the triangle acute,obtuse,or right?

Answers

Answer:

Acute i think

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

help i don't know what to do!!!!!!!!!!!​

Answers

Answer:

x=⅗ or 0.6ft

y=7ft

step by step explanation

Answer:

Divide both numbers by five, apparently

I am glad i helped! Have a good day and remember to be tiger fierce!! :)

please help! literally desperate for help asap!

Answers

QTR & TRS

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

Answer:

triangle TQR to triangle TRS

AS angle QRT= angle RTS

QR=TS

and their height are same

hope it helps! :)

Pre-image ABCD was dilated to produce image ​A′B′C′D′​ .

What is the scale factor from the pre-image to the image?

Enter your answer in the box as a fraction in simplest form.


Two quadrilaterals labeled A B C D and A-prime, B-prime, C-prime, D-prime. Quadrilateral A B C D is larger than the other quadrilateral, which is to the right of quadrilateral A B C D. Side B C is labeled twelve, and side B-prime, C-prime is labeled nine.

Answers

Answer:

0.75

Step-by-step explanation:

Oof :<
I can’t put my fInGer on this question

Answers

Answer:

B 21.50 dollars

Step-by-step explanation:

Rewrite the polynomial in the form ax^2+bx+cax 2 +bx+c and then identify the values of a,a, b,b, and cc. -x+5x^2+1

Answers

Given:

The polynomial is

[tex]-x+5x^2+1[/tex]

To find:

The polynomial in the form [tex]ax^2+bx+c[/tex] and find the values of a, b and c.

Solution:

We have,

[tex]-x+5x^2+1[/tex]

Arranging the terms in descending order of their degrees, we get

[tex]=5x^2-x+1[/tex]

[tex]=(5)x^2+(-1)x+1[/tex]

On comparing this polynomial with [tex]ax^2+bx+c[/tex], we get

[tex]a=5,b=-1,c=1[/tex]

Therefore, the value of a is 5, the value of b is -1 and the value of c is 1.

PLEASE HELP WILL MARK BRAINLIEST

Find the new coordinates of the dilation D2 (XYZ).
X' =
Y' =
Z' = ​

Answers

Answer:

X = 1 , 2

Y = -1 , 2

Z = -2 , -1

6.5 ft 6 ft- 11 ft N 5 ft What is the surface area? A 258 square feet B 195 square feet C 228 square feet D 330 square feet​

Answers

Answer:

Step-by-step explanation:

area of base = 5×11 = 55 ft²

area of triangle = ½×5×6 = 15 ft²

area of rectangular face = 6.5×11 = 71.5 ft²

surface area = 55 + 2×15 + 2×71.5 = 228 ft²

Dare to do this if you are geiness
Express 750×900as a product of it prime factors using exponents
Who did this get a follow and marked as brainliest​

Answers

Answer:

2^3 x 3^3 x 5^4

Step-by-step explanation:

750 x 900 = 675000

675000 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 5

Which in product of prime factors is = 2 to the power of 3 x 3 to the power of 3 x 5 to the power of 4

I really need help please. I’ll pay !

Answers

Step-by-step explanation:

Parabolic curve........

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