1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fantom [35]
2 years ago
10

Quadrilateral OPQR is inscribed in circle N, as shown below. Which of the following could be used to calculate the measure of ∠P

QR?
Circle N is shown with a quadrilateral OPQR inscribed inside it. Angle O is labeled x plus 16. Angle P is not labeled. Angle Q is labeled 6x minus 4. Angle R is labeled 2x plus 16.

(6x − 4)° + (2x + 16)° = 180°
(x + 16)° + (6x − 4)° = 180°
(6x − 4)° + (2x + 16)° = 360°
(x + 16)° + (6x − 4)° = 360°
Mathematics
2 answers:
Anna [14]2 years ago
8 0

The equation to be used to calculate the measure of ∠PQR in the cyclic quadrilateral is: (6x − 4)° + (2x + 16)° = 180°.

<h3>What are Opposite Angles in a Cyclic Quadrilateral?</h3>

A cylcic quadrilateral is a quadrilateral inscribed in a circle. The opposite angles are supplementary, that is they add up to give 180 degrees.

Thus, angles Q and O are opposite angles in the cyclic quadrilateral, which means they are supplementary.

Therefore, the equation to be used to calculate the measure of ∠PQR in the cyclic quadrilateral is: (6x − 4)° + (2x + 16)° = 180°.

Learn more about cyclic quadrilateral on:

brainly.com/question/10057464

sammy [17]2 years ago
5 0

Answer:

I just took the quiz and the answer above is NOT correct.

Step-by-step explanation:

You might be interested in
Susan is celebrating her birthday by going out to eat at five guy's for burgers. If the bill in $40 and she wants to leave a tip
damaskus [11]

Answer:

  $6

Step-by-step explanation:

Susan can easily figure the tip by the following procedure. 10% of the bill is the amount with the decimal point moved one place to the left, so is $4.00. 5% of the bill is half that, or $2.00.

15% of the bill is 10% + 5%, so is $4.00 +2.00 = $6.00. The tip will be $6.00.

7 0
3 years ago
Jonah finished 24 math problems in
8_murik_8 [283]

Answer:

3 hours

Step-by-step explanation:

In an hour there are 60 minutes to find the unit rate of problems per minute you divide 60/24 and get 2.5 multiply 2.5 by 72 get 180 in minutes that is 3 hours

3 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!!!!!!!
Thepotemich [5.8K]

Answer:

i Dont know

Step-by-step explanation:

i

d

o

n

t

k

n

o

w

6 0
3 years ago
Mr. Paulsen challenges Olivia and Angelica to move figure ABCDE onto figure A"B"C"D"E" using a series of two different transform
Jobisdone [24]

Problem 1

One method Olivia could have used is to reflect over the x axis and then translate 10 units to the right.

Let's apply these set of steps to point C.

C = (-2,-4)

C' = (-2,4) after reflecting over the x axis; y coordinate flips in sign

C'' = (8,4) after shifting to the right 10 units; add 10 to the x coordinate

Point C(-2,-4) moves to C''(8,4) which is shown in the diagram. I'll let you check the other four points.

-----------

Another method Olivia could have used is to shift to the right 10 units first, then reflect over the x axis. In this case, the order doesn't matter. Though for some other combinations of transformations, order does matter.

============================================================

Problem 2

Reflecting over the y axis will have the point (x,y) turn into (-x,y). Only the x coordinate changes, and we flip the sign here. The y coordinate stays the same.

A point like C(-2,-4) becomes C'(2,-4) after the y axis reflection. Shifting up 8 units means we add 8 to the y coordinate to arrive at C''(2,4) but this does not match what the diagram shows. Therefore, Angelica's method is incorrect.

You should find other inconsistencies for the other four points as well.

============================================================

Problem 3

Michael's method isn't correct either. He does not apply an x axis reflection and instead relies entirely on translations to move ABCDE to A''B''C''D''E''

At a quick glance, it looks like Michael may be correct. But upon a much closer look, you'll see that things don't line up perfectly.

Instead of point C, we'll pick on point D this time.

D is located at (-6,-2). If we shift up 8 units, then we add 8 to the y coordinate to get to D'(-6,6). Then add 10 to the x coordinate to shift 10 units to the right. This leads us to D''(4,6).

However, the diagram shows D'' is actually at (4,2)

I'll let you check the other points. You should find that only points C and E go to the correct locations, but the other points do not. Again, this is because Michael did not apply an x axis reflection. His figure of A''B''C''D''E'' is upside down compared to what it should be.

============================================================

To summarize, the methods described in problem 1 are the correct way to get ABCDE to move to A''B''C''D''E''. If Olivia followed either of those two methods, then she is correct. Both Angelica and Michael have incorrect methods.

5 0
2 years ago
¿Como encontrar los dos puntos de una gráfica?
blagie [28]
Si estas haciendo una linea recta vas a necesitar dos puntos. Los encuentras poniendo un numero por x en la formula para que te de un numero, y. Y te va dar (x, y). Lo haces otravez con otro valor de x y ese te va dar (x2, y2). Y luego los conectas con una linea.
4 0
3 years ago
Other questions:
  • I need help with this question?????
    12·2 answers
  • Write an equation in point-slope form and slope- intercept form for the line.
    12·1 answer
  • At a basketball game, a vender sold a combined total of 109 sodas and hot dogs. The number of sodas sold was 57 more than the nu
    13·1 answer
  • Will give brainlist<br><br> what is the approximate area of the figure
    15·2 answers
  • Is the graph of y=3/2x-4 paralel to the graph of y=-3/2x-4
    11·1 answer
  • Solve each equation 5(1-n)=75
    15·1 answer
  • Lloyd's account has a balance of −$53.50. If he owes the bank more than $40, his account gets closed. Which of the following is
    9·2 answers
  • Given the parent functions f(x) = 3x + 2 and g(x) = 5x − 10, what is g(x) − f(x)?
    15·1 answer
  • An envelope contain 40 shopping vounchers of which 25 voucher each have value of $50 and 15 vouchers each have a value of $100.
    9·2 answers
  • Question
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!