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
masha68 [24]
3 years ago
10

I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find

the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find mRP, MQS, MPQR, and MRPQ

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
6 0

Answer:

mRP = 125°

mQS = 125°

mPQR = 235°

mRPQ = 305°

Step-by-step explanation:

Given that

  • mROP = 125°
  • ∠ROP is a central angle

Then:

  • measure of arc RP, mRP = mROP = 125°

Given that

  • ∠QOS and ∠ROP are vertical angles

Then:

  • mQOS = mROP = 125°
  • measure of arc QS, mQS = mROP = 125°

Given that

  • ∠QOR and ∠SOP are vertical angles

Then:

  • mQOR = mSOP

Given that

  • The addition of all central angles of a circle is 360°

Then:

mQOS + mROP + mQOR + mSOP = 360°

250° + 2mQOR = 360°

mQOR = (360°- 250°)/2

mQOR = mSOP = 55°

And (QOR and SOP are central angles):

  • measure of arc QR, mQR = mQOR = 55°
  • measure of arc SP, mSP = mSOP = 55°

Finally:

measure of arc PQR, mPQR = mQOR + mSOP + mQOS = 55° + 55° + 125° = 235°

measure of arc RPQ, mRPQ = mROP + mSOP + mQOS = 125° + 55° + 125° = 305°

You might be interested in
Kimberly has a $2000 bond with a 4,5% coupon. The yield of the bond is 4.7%.
devlian [24]
The answer is C $1950.00
8 0
3 years ago
Read 2 more answers
Dilation – stretching or compressing the graph of a function
nekit [7.7K]
Whats the question here?

8 0
3 years ago
A box contains 2 plain pencils and 2 pens. A second box contains 3 color pencils and 5 crayons. One item from each box is chosen
Lapatulllka [165]

Answer:

50% pen first box and 62.5% crayon from second box

Step-by-step explanation:

The first box contains 4 items, 2 of each. This means there are \frac{2}{4} pens. This gives you a \frac{2}{4} chance of picking out a pen. This can be written as 50%.

The second box contains 8 items, 3 color pencils and 5 crayons. This means \frac{5}{8} of the contents are crayons, meaning you have a \frac{5}{8} or 62.5% chance of picking a crayon.

*For working out the percentages, you should convert the fraction to a decimal and then multiply that by 100.

**This content involves fractions, decimals and percentages, as well as basic probability, which you may want to revise. I'm always happy to help!

8 0
3 years ago
on dividing $200 between A and B such that twice of A's share is less than 3 times than B's share by $20
Wittaler [7]

Answer:

Share of A is $116 and Share of B is $84.

Step-by-step explanation:

Let the share of A be x

Let the share of B be y

Given:

$200 is shared between A and B

So, x+y =\$200\ \ \ \ equation \ 1

Also given;

twice of A's share is less than 3 times than B's share by $20

2x= 3y -20\\2x-3y = -20 \ \ \ \ equation \ 2

Solution:

Now multiplying equation 1 by 3 we get,

3x+3y=600 \ \ \ \ equation \ 3

Now Adding equation 2 and equation 3 we get

(2x-3y = -20)+ (3x+3y=600)\\5x=580\\\\x=\frac{580}{5}=\$116

Now Substituting the value of x in equation 1 we get,

x+y=200\\116+y=200\\y=200-116 = \$84

Hence, Share of A is $116 and Share of B is $84.

8 0
3 years ago
Greg buys 60 garden plants at a cost price of $2.00 each to sell in his shop. He sells 25 of them at the profit of 75% and 18 of
fomenos

Answer:

  • $43.30 profit

Step-by-step explanation:

<u>Total cost of plant:</u>

  • 60*2 = 120

<u>Greg makes total of:</u>

  • 25*(2 + 0.75*2) + 18*(2 + 0.35*2) + (60 - 25 - 18)*2*4/5 = 163.3

<u>Since Greg mare than cost, he has a profit and the amount is:</u>

  • 163.3 - 120 = 43.3
4 0
3 years ago
Other questions:
  • Suppose that your business is operating at the 4.5-Sigma quality level. If projects have an average improvement rate of 50% annu
    15·1 answer
  • Toe rings $6 wants to profit 90%
    14·1 answer
  • Mauro has 140 ft of rope. He will cut it into two pieces so that the length of the longer piece is 3 times the length of the sho
    10·2 answers
  • Using the distributive property rewrite 2x + 16 as a product of two factors
    15·1 answer
  • A cylinder had a base diameter of 8in and a height of 20in. What is the volume in cubic in, to the nearest tenths place?
    13·1 answer
  • Solve for x: 2x − 2 &gt; 4x + 6.<br> x &lt; −4<br> x &gt; −4<br> x &lt; 4<br> x &gt; 4
    10·1 answer
  • A school psychologist wants to test the effectiveness of a new method of teaching Art. She recruits 600 second-grade students an
    7·1 answer
  • What is 2.375 as a fraction
    10·1 answer
  • Pls help urgently extra points and mark brainlist
    6·1 answer
  • Solve the formula for C thx if u answer!!!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!