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
8

If mSW = (12x-5)°, mTV= (2x+7)°,and m angle TUV = (6x-19)°, find mSW

Mathematics
1 answer:
svet-max [94.6K]3 years ago
7 0

Given:

Consider the below figure attached with this question.

m(arc(SW)) = (12x-5)°, m(arc(TV))= (2x+7)°,and measure of angle TUV = (6x-19)°.

To find:

The m(arc SW).

Solution:

Intersecting secant theorem: If two secants intersect outside the circle, then the angle on the intersection is half of the difference of the larger subtended arc and smaller subtended arc.

Using Intersecting secant theorem, we get

m\angle TUV=\dfrac{1}{2}(m(arc(SW))-m(arc(TV)))

6x-19=\dfrac{1}{2}((12x-5)-(2x+7))

6x-19=\dfrac{1}{2}(12x-5-2x-7)

6x-19=\dfrac{1}{2}(10x-12)

Multiply both sides by 2.

2(6x-19)=10x-12

12x-38=10x-12

12x-10x=38-12

2x=26

Divide both sides by 2.

x=13

Now, the measure of arc SW is:

m(arc(SW))=(12x-5)^\circ

m(arc(SW))=(12(13)-5)^\circ

m(arc(SW))=(156-5)^\circ

m(arc(SW))=151^\circ

Therefore, the measure of arc SW is 151 degrees.

You might be interested in
A right triangle has legs measuring meters and meters.
Xelga [282]
I’m so sorry this isn’t an answer i just really need points so i can ask a test question
3 0
3 years ago
An irrigation sprinkler waters
Ede4ka [16]

Answer:  Use 22/7 for π. Solution: Use the formula. C = 2πr. Substitute 14 for r. C = 2π(14) Substitute 22/7 for π. C ≈ 2 x (22/7) x 14. Simplify C ≈ 2 x (22/1) x 2. C ≈ 88. So, the circumference of the region watered by the sprinkler is about 88 feet.

Step-by-step explanation: Hope this helps

8 0
2 years ago
What percent of 186 is 75
Elza [17]
About 40%
186---100%
75-----x%

75*100 divide by 186
6 0
3 years ago
Need this fast guys .
vivado [14]

Answer:

thanks

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How do you factorise 6x-9
ankoles [38]

6x-9

factor 3 out of 6

factor 3 out of -9

Sector 3 - 2x + 3-3

3 X 2 - 3

please mark me as brainlist

5 0
2 years ago
Read 2 more answers
Other questions:
  • Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its
    13·2 answers
  • PLZ HELP!!!<br><br> A Circle has a radius of 6x9y5 Cm.
    15·1 answer
  • What is the answer to 10 ÷ 10 in decimal form
    12·1 answer
  • Express , twelve times a number minus six is less than or equal to
    11·1 answer
  • 4/3 = 24/30 proportional yes or no
    11·2 answers
  • Which problem could the bar diagram represent?
    10·1 answer
  • A geyser Erupts every fourth day . Another geyser erupts every sixth day. Today both geysers erupted. In how many days will both
    15·1 answer
  • A car drives at a speed of 34 2/3 mph. How many miles will the car travel in:<br> 40 min?
    14·1 answer
  • If i get a 70% does that count at 2.0 gpa
    6·1 answer
  • Please help i dont understand
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!