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
BlackZzzverrR [31]
3 years ago
6

In the given diagram , TY is a tangent to the circle TVS . If <SVT = 48° and |VS| = |ST| . What is < VTY.​

Mathematics
2 answers:
Leviafan [203]3 years ago
5 0

Answer:

∠VTY = 84°

Step-by-step explanation:

because ΔTSV is isosceles (ST = SV) then ∠VTS = ∠SVT = 48°

Then ∠VST = 84°   (180 - 48 - 48 = 84)

Well, I'm going back to the picture is worth a thousand words again.

Sketch attached:

A line from S to the center bisects ∠VST into two 42° angles.

A line from T to the center forms a 42° angle with line ST.

48°-42° = 6° = angle from perpendicular line CTR to line VT.

90° - 6° = 84° for ∠VTY

ycow [4]3 years ago
4 0

Answer:

  • 84°

Step-by-step explanation:

∠VTY is the tangent chord angle

  • Tangent chord angle is the half of the intercepted arc

∠TSV is the inscribed angle.

  • Inscribed angle is the half of the intercepted arc

<u>Since both of the mentioned angles refer to same arc, they are of same value.</u>

  • ∠VTY = ∠TSV

ΔTVS is isosceles as VS = ST, therefore the opposite angles are same.

  • m∠T = m∠V = 48°

<u>The measure of angle S</u>

  • m∠S = 180° - 2*48° = 84°

<u>The required angle</u>

  • m∠VTY = 84°
You might be interested in
Which statements is true
melamori03 [73]
All squares are rectangles
all squares are rhombuses

6 0
3 years ago
Read 2 more answers
How to write eight hundred fifty-four and ninety-six hundredths
Anna35 [415]
This good question needs a good answer which is......854.96
7 0
3 years ago
Read 2 more answers
A rectangle is 2/5 in. long and 1/3 in. wide.<br><br><br><br> What is the area of the rectangle?
Aloiza [94]
The area of the rectangle is 1/3 * 2/5=2/15 inches
please mark as brainliest
7 0
3 years ago
Read 2 more answers
Put these numbers in order from least to greatest: -4 2/5 -4.5 -5.1 -4.45 -5 -
liberstina [14]

Answer:

-5.1, -5, -4.5, -4.45,-4 2/5

3 0
3 years ago
Read 2 more answers
If 2 coins is flipped 200 time, how many times would youe expect to land on heads​
Art [367]

Answer:

200 times

Step-by-step explanation:

400÷2=200

because the next 200 would be landing on tails

6 0
3 years ago
Read 2 more answers
Other questions:
  • The given series has six terms. What is the sum of the terms of the series?
    7·2 answers
  • Josie opened a retirement account with 1.99% APR in 2000. her initial deposit was $32,500. How much will the account be worth in
    8·1 answer
  • An animal shelter spends 2.50 per day to care for each cat 7.00 per day to care for each dog. Mathew noticed that the shelter sp
    15·1 answer
  • 4/x-1 + 3/x -3=0<br> (Solving rational expressions)
    12·1 answer
  • Solve, using linear combination. 3x + y = 4. 2x + y = 5. A.. . . (–1, 7). . . B.. . . (–3, 12). . . C.. (0, 4). . . D.. . . (–3,
    14·2 answers
  • The sum of three consecutive odd numbers is 81. Find the numbers.
    10·2 answers
  • Find the 64th term of the arithmetic sequence 29, 38, 47, ...
    5·1 answer
  • Louie made 8.1 liters of fruit punch using only grape juice and carbonated water. He used 4.2 liters of grape juice. The equatio
    5·1 answer
  • Dan is making bags of trail mix for hiking club. He will use 23 ounces of walnuts, 10.2 ounces of almonds, and 13.3 ounces of ca
    13·1 answer
  • Alma pays $26.88 each week for gas and $24.95 every three months to change the oil in her car. how much does Alma pay in total f
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!