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
s2008m [1.1K]
3 years ago
13

In ⊙O, ST and VT are tangents. m∠STV = 22°. Find the value of a, b, and m∠SOV.

Mathematics
1 answer:
Rasek [7]3 years ago
6 0

Answer:

\huge \orange {\boxed {a =202\degree}}

\huge \purple {\boxed { b = 158\degree}}

\huge \red {\boxed {m\angle SOV = 158\degree}}

Step-by-step explanation:

In \odot O, ST and VT are tangents at points S and V respectively.

\therefore OS\perp ST, \:and\: OV\perp VT

\therefore m\angle OST=m\angle OVT = 90\degree

In quadrilateral OSTV,

m\angle SOV +m\angle OST+m\angle OVT+m\angle STV = 360\degree

(By interior angle sum postulate of a quadrilateral)

m\angle SOV +90\degree +90\degree +22\degree  = 360\degree

m\angle SOV +202\degree  = 360\degree

m\angle SOV = 360\degree-202\degree

\huge \red {\boxed {m\angle SOV = 158\degree}}

\because b = m\angle SOV

(Measure of minor arc is equal to measure of its corresponding central angle)

\huge \purple {\boxed {\therefore b = 158\degree}}

\because a + b= 360\degree

(By arc sum property of a circle)

\therefore a = 360\degree - b

\therefore a = 360\degree -158\degree

\huge \orange {\boxed {\therefore a =202\degree}}

You might be interested in
1. Use Substitution Method, Show Steps.<br><br> 3x=2y=11 <br> y=5x-1
ladessa [460]
3x=2(5x-1)=11
3x=10x-2=11
-10x -10x
-------------------
-7x=-2=11
       +2   +2
------------------
-7x=13
-----  ------
-7      -7

x= -1.9

4 0
3 years ago
Chapter 7, Section 7.2, Question P9 The process for manufacturing a ball bearing results in weights that have an approximately n
bogdanovich [222]

a. Let X be a random variable representing the weight of a ball bearing selected at random. We're told that X\sim\mathcal N(0.15,0.005^2), so

\mathrm P(X

where Z\sim\mathcal N(0,1). This probability is approximately

\mathrm P(Z

b. Let X_i be a random variable representing the weight of the i-th ball that is selected, and let Y be the mean of these 4 weights,

Y=\dfrac{X_1+X_2+X_3+X_4}4

The sum of normally distributed random variables is a random variable that also follows a normal distribution,

X_1+X_2+X_3+X_4\sim\mathcal N(4\cdot0.15,4\cdot0.005^2)

so that

Y\sim\mathcal N(0.15,0.005^2)

Then

\mathrm P(Y

c. Same as (b).

8 0
3 years ago
The units of the subway map below are in miles. Suppose the routes between
levacccp [35]

Distance between Station E  and Station G  is 8.48 miles (Approx.)

<u>Given:</u>

Distance 3 miles east

Distance 5 miles south

<u>Find:</u>

Distance between Station E  and Station G

<u>Computation:</u>

Co-ordinate of Point E = (-3 , 1)

Co-ordinate of Point G is 3 mile east and 5 mile south

So,

Co-ordinate of Point G = (3 , -5)

Distance between two point = √(x2 - x1)² + (y2 - y1)²

So,

Distance between Station E  and Station G  = √(3 + 3)² + (-5 - 1)²

Distance between Station E  and Station G  = √(6)² + (-6)²

Distance between Station E  and Station G  = √36 + 36

Distance between Station E  and Station G  = √72

Distance between Station E  and Station G  = 8.48 miles (Approx.)

Learn more:

brainly.com/question/12052812?referrer=searchResults

4 0
2 years ago
Find the Area of the Shaded Portion:<br><br><br><br> inches squared<br><br> in sq
Zarrin [17]
6×12 = 72
72 - (3x3) = 63

63 in ^2
3 0
3 years ago
Read 2 more answers
Put these substances in order of density with the most dense first and the least dense last.
juin [17]
Steel, Pumpkin Pie, Whipped Cream, Air
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of the 24th term in the following arithmetic sequence? -9, -2, 5, 12, ... 152 -170 170 -200
    5·2 answers
  • (8-(-9))^2 + ((-3)-(-6))^2
    10·2 answers
  • If the base lengths of a trapezoid are 11 cm and 17 cm, then what is the length of the trapezoid's midsegment?
    11·2 answers
  • If the sum of the interior angles of a polygon is 540, then how many sides does the polygon have?
    7·1 answer
  • Solve this system of linear equations. Separate
    11·1 answer
  • They are not related
    6·1 answer
  • Evaluate the expression using the order of operations and rules for signed numbers. 6.8(6.7 – 7.2) – 2(4.6 + 1.2) =
    14·2 answers
  • What is the measure of ZB?
    11·2 answers
  • A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled in the graphs o
    15·2 answers
  • The area of a square is 25/36 in.squared. what is the length of its side
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!