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
Maslowich
3 years ago
5

Quadrilateral OPQR is inscribed in circle N, as shown below. What is the measure of ∠ROP?

Mathematics
2 answers:
Murrr4er [49]3 years ago
8 0
The answer is 41, because I just took the quiz and that was the correct answer :)
Arte-miy333 [17]3 years ago
8 0

Answer:  The correct option is (A) 41°.

Step-by-step explanation:  Given that quadrilateral OPQR is inscribed in circle N as shown in the figure.

Also, ∠ROP = (x+17)°  and  ∠RQP = (6x-5)°.

We are to find the measure of ∠ROP.

Since quadrilateral OPQR is inscribed in a circle, so it is a cyclic quadrilateral.

We know that the sum of the measures of opposite angles of a cyclic quadrilateral is 180°.

So, in cyclic quadrilateral OPQR, we have

m\angle ROP+m\angle RQP=180^\circ\\\\\Rightarrow (x+17)^\circ+(6x-5)^\circ=180^\circ\\\\\Rightarrow (7x+12)^\circ=180^circ\\\\\Rightarrow 7x^\circ=168^\circ\\\\\Rightarrow x^\circ=\left(\dfrac{168}{7}\right)^\circ\\\\\Rightarrow x^\circ=24^\circ.

Therefore, we get

m\angle ROP=(x+17)^\circ=(24+17)^\circ=41^\circ.

Thus, the measure of angle ROP is 41°.

Option (A) is CORRECT.

You might be interested in
Whats is y=1/3x+2 This is for math
marusya05 [52]

Answer:

an equation of a line

Step-by-step explanation:

This is an equation of a line. Lets walk through it.

y=1/3x+2

This is to find out what the Y coordinate would be when X is plugged in. So, if x was 6, you would take 1/3 of 6 to get 2, and add 2. The y intercept would be 4, since y=1/3(6)+2, y=2+2, y=4

Y=1/3x+2

This is what the slope is. If the slope is negative (ie. -3/4) the greater the x intercept the lower the y will be. (so if I had x=4 for a slope of -3/4, that would be y=-3/4(4)+2, y=-3+2, y=-1) But if the slope is positive (ie. 1/3) the greater the x value the greater the y value as well. (see graph attached below for positive)

Y=1/3x+2

This is the Y intercept. (This is NOT the y coordinate. This is only the coordinate of y if x=0) This number tells you where the Y intercept is. If it adds, the y intercept is positive. If it subtracts, the y intercept is negative.

Sorry if these explainations dont make sense. But, here is the graph for y=1/3x+2

4 0
3 years ago
Brian is selling cookies at a bake sale. He earns $2.75 for each bag of cookies he sells. Write an equation to represent this sc
sesenic [268]
Let C equal bags of cookies
Let M equal money earned

2.75c=m

Probably not enough sorry if it isn't
5 0
3 years ago
Read 2 more answers
If Michael invests $2000 in the bank at a rate of 5.5% for 6 years how much interest will he make?
Natalija [7]

Answer:

intereste = 660

Step-by-step explanation:

interest \:  =  \frac{2000 \times 5.5 \times 6}{100}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: =  \frac{66000}{100}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 660 \\

plz..

mark it as a brilliant answer

8 0
3 years ago
What is the area of the given circle in terms of pi
ser-zykov [4K]
3.14(3.3)(3.3)
3.13(10.89)

6 0
3 years ago
Which expression can be used to find m pls help
natali 33 [55]

Answer:

∠ U = 22.62°

Step-by-step explanation:

We can use the trigonometric expression to find ∠U by using the ratio:

sin(θ) = opposite/ hypotenuse

=> sin ∠U = 7.5/ 19.5

=> ∠ U = sin^{-1}( 7.5/ 19.5)

∴ ∠ U = 22.619° ≈ 22.62°

5 0
3 years ago
Other questions:
  • Mark rolls two number cubes. What is the probability that the sum of the two numbers will equal 10?
    14·1 answer
  • A baseball player starts the season with 77 career home runs. Ten games into the
    13·1 answer
  • If two dice are rolled, what is the probability that one of them shows a 6 and the sum of the dice is an odd number?
    9·1 answer
  • If you have seven classes take 3 test a week what’s the probability of you passing all of your test
    14·1 answer
  • A $25 credit and a $25 charge appear similar, yet they are very different.
    13·1 answer
  • Mrs. Wong has 144 tiles that she is going to place on her square kitchen floor. If the tiles are $3.79 each, how much did Mrs. W
    10·2 answers
  • from point a leah walked 40 yards south, 60 yards west, 10 yards north, and 20 yards east to point b. what is the length, in yar
    15·1 answer
  • The manager of a local soft drink bottling company believes that a new beverage- dispensing machine, which is designed to dispen
    13·1 answer
  • Anacondas are snakes found in South America. Anacondas can measure over 16 1/2 feet in length. How many inches are in 16 1/2
    8·1 answer
  • 7x398 thats the questioni need you to answer hahah
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!