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
marshall27 [118]
3 years ago
5

In the diagram below secants PT & PU have been drawn from exterior point P such that the four arcs intercepted have the foll

owing ratio of measurements arc RS: arc ST:arc TI: arc UR= 1:4:4:3.
(a) If arc RE= 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. RS, ST, TU, and UR

(c) find the measure of angle P

(d) draw segment UT what would be the measure of angle UTS?

Mathematics
1 answer:
fiasKO [112]3 years ago
4 0

Answer:

  • x = 30°
  • RS = 30°, SR = TU = 120°, UR = 90°
  • ∠P = 45°
  • ∠UTS = 60°

Step-by-step explanation:

(a) If RS = x, then the sum of arcs around the circle is ...

  x + 4x +4x +3x = 360°

  12x = 360°

  x = 30°

__

(b) Based on the given ratios, the arc measures are computed from x. For example, ST = TU = 4x = 4(30°) = 120°

  • RS = 30°
  • ST = 120°
  • TU = 120°
  • UR = 90°

__

(c) Angle P is half the difference of arcs TU and RS:

  ∠P = (TU -RS)/2 = (120° -30°)/2

  ∠P = 45°

__

(d) Inscribed angle UTS is half the measure of the arc it intercepts. Arc RU has the measure (30° +90°) = 120°, so the measure of UTS is ...

  ∠UTS = 120°/2 = 60°

You might be interested in
HELP FAST PLS ILL LOVE U FOREVER <3 Angle ABC is 47 degrees. What is the the measure of angle CBD?
AysviL [449]

Answer:

43

Step-by-step explanation:

we know that ABC and CBD need to add up to 90 so we have

47+CBD=90

CBD=43

6 0
3 years ago
Read 2 more answers
Help please
hoa [83]
1.) One hundred twenty-five and forty-seven thousandths

2.) 91/100.

3.) 2769/1000

4.) 0.074

5.) 3.705

6.) 75.69

7.) 0.162 is greater than 0.07

8.) 8.049 is greater than 8.0094

9.) 6

10.) 5.678

11.) 5.7



7 0
2 years ago
Power by 10 10 and theres a 4 above it
vitfil [10]

Answer:

10000

Step-by-step explanation:

multiply 100 by 100 then multiply that 4 times of the same number

3 0
3 years ago
Can someone please help?
Alika [10]

Answer:

A. mean 71.33, median 86, mode 90 90 100 100, range 55

B. mean 79.41, median 36.5, mode 90, range 60

c. mean 73.16, median 2, mode 75 75 80 80, range 45

Step-by-step explanation:

mean is the average so add all numbers then divide by the number of number

mode is the number that is often seen

range subtract the smallest from largest or the other way around

median the middle number when lined all number from less to biggest  

4 0
3 years ago
I got this question wrong on a warm-up in class and I'm doing error analysis. Can someone solve this and explain why? I'm giving
Studentka2010 [4]

Answer:

your answer would be D :)

7 0
2 years ago
Other questions:
  • Subtract and simplify. ( y 2 −7y−5)−(−3 y 2 +3y−4)
    11·1 answer
  • Multiply and simplify
    15·1 answer
  • Can someone help me with this topic
    8·1 answer
  • How can you use 4s facts to find 7x8? Give the product in your explanation
    15·2 answers
  • E-2=13 pls someone help me
    10·2 answers
  • An atom is neutral. Its nucleus contains two protons and two neutrons. How
    14·1 answer
  • the time required to drive a certain distance verified inversely with the speed R if it takes 2 hours to drive the distance at 3
    6·1 answer
  • \overleftrightarrow{AC} AC A, C, with, \overleftrightarrow, on top is tangent to circle OOO at point CCC. What is the length of
    12·2 answers
  • G. 9−7+{−2+3−[4−2+(3+2)−7]+8} h. – {- [ (14 - 7) - (32 - 41)]} i. – [(-8 + 3) + (- 21 – 12)] j. 500 – {( 6 – 18 + 4 + 3 + 16 - 1
    8·1 answer
  • Explain how to solve a system of equations using the addition method. Use 3x - 4y=12 and 2x+y=8 to illustrate.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!