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
Liula [17]
3 years ago
13

If mRS=x then write an equation that could be used to solve for x and find the value of x

Mathematics
1 answer:
Fed [463]3 years ago
6 0

Answer:

a) x = 30°

b) mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

Question:

The complete question as found on Chegg website:

In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs

intercepted have the following ratio of measurements:

mRS : mST :MTU : mUR=1:4:4:3

(a) If mRS = x, then write an equation that could be used to solve for x

and find the value of x.

(b) State the measure of each of the four arcs.

mRS =

mST =

MTU

MUR =

Step-by-step explanation:

Find attached the diagram related to the question

mRS : mST : mTU : mUR = 1:4:4:3

Since mRS = x

Writing the ratios of the measure of angle in terms of mRS:

mST = 4× mRS = 4×x = 4x

mTU = 4× mRS = 4×x = 4x

mUR= 3× mRS = 3×x = 3x

The sum of measure the 4 measures of arc = 360° (sum of angle in a circle)

mRS + mST + mTU + mUR = 360°

x + 4x + 4x + 3x = 360

12x = 360

x = 360/12

x = 30°

b) The measure of angle

mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

You might be interested in
<img src="https://tex.z-dn.net/?f=x%20%2B%205%20%20%5Cgeqslant%2012%20%5C%5C%20" id="TexFormula1" title="x + 5 \geqslant 12 \\
N76 [4]

Hello from MrBillDoesMath!

Answer:

x >= 7

Discussion:

x + 5 >= 12                  =>  add -5 to both sides

x + 5 -5 >= 12 - 5        => as 5-5 = 0 and 12 =5 = 7

x >= 7

Thank you,

MrB

6 0
3 years ago
What is the volume of a sphere if it has a radius of 2 feet? (Use 3.14 for π .) 33.49 ft 3 100.48 ft 3 75.36 ft 3 25.12 ft 3
cricket20 [7]
I think the answer is the first one
5 0
3 years ago
Read 2 more answers
5) BRAINLIEST AND 10+ POINTS! :)
yKpoI14uk [10]

Answer:

b) 1000x + 115

Step-by-step explanation:

C = 20y + 15

= 20(50x + 5) + 15

= 1000x + 100 + 15

= 1000x + 115

4 0
3 years ago
Read 2 more answers
Complete the missing value in the solution to the equation.<br> (. , -6)
fiasKO [112]

Answer:

What is the equation?

I'll edit the answer once you tell me the equation

4 0
3 years ago
The expression −310+13m represents a submarine that began at a depth of 310 feet below sea level and ascended at a rate of 13 fe
GenaCL600 [577]

Answer:

206

Step-by-step explanation:

The formula for this problem would be -310 + 13(8) which = 206

3 0
3 years ago
Other questions:
  • A. -e-7<br> B. e+7<br> C. -e+7<br> D. e-7
    6·1 answer
  • A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
    6·1 answer
  • What is the unit cost per bottle if a pack of 4 bottles of juice sells for $3?
    13·2 answers
  • Solve this problem on paper using all four steps. Enter each answer separated by a comma, in numerical order.
    13·1 answer
  • You pay 15 dollars for something that was 25% off. What was the original price of the hat before the discount?
    11·2 answers
  • How do you solve y - 2 = 5 (x - 1) using slope - formula. I WILL GIVE YOU A BRAINLIEST IF YOU GIVE THE RIGHT ANSWER.
    14·2 answers
  • Data represented by quantities is called data.
    14·1 answer
  • Each line represents a proportional relationship. Write an equation for each line. Show your work.
    12·2 answers
  • In 2010, the population of a city was 241,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 4%. T
    11·1 answer
  • In this question you are not allowed to use a calculator. Show all yo calculations. 6.1 Calculate: -24
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!