In ⊙O, ST and VT are tangents. m∠STV = 22°. Find the value of a, b, and m∠SOV.
Answers
Answer:
[tex]\huge \orange {\boxed {a =202\degree}} [/tex]
[tex] \huge \purple {\boxed { b = 158\degree}} [/tex]
[tex]\huge \red {\boxed {m\angle SOV = 158\degree}} [/tex]
Step-by-step explanation:
In [tex] \odot[/tex] O, ST and VT are tangents at points S and V respectively.
[tex] \therefore OS\perp ST, \:and\: OV\perp VT[/tex]
[tex] \therefore m\angle OST=m\angle OVT = 90\degree [/tex]
In quadrilateral OSTV,
[tex] m\angle SOV +m\angle OST+m\angle OVT+m\angle STV = 360\degree [/tex]
(By interior angle sum postulate of a quadrilateral)
[tex] m\angle SOV +90\degree +90\degree +22\degree = 360\degree [/tex]
[tex] m\angle SOV +202\degree = 360\degree [/tex]
[tex] m\angle SOV = 360\degree-202\degree [/tex]
[tex]\huge \red {\boxed {m\angle SOV = 158\degree}} [/tex]
[tex] \because b = m\angle SOV[/tex]
(Measure of minor arc is equal to measure of its corresponding central angle)
[tex] \huge \purple {\boxed {\therefore b = 158\degree}} [/tex]
[tex] \because a + b= 360\degree [/tex]
(By arc sum property of a circle)
[tex] \therefore a = 360\degree - b[/tex]
[tex] \therefore a = 360\degree -158\degree[/tex]
[tex]\huge \orange {\boxed {\therefore a =202\degree}} [/tex]
Related Questions
if 100 ml of rat poison is mixed with 2,5l of water then what would be the simplified poison water ratio
Answers
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Answer: 1:25 ratio of rat poison to water
Explanation:
100:2500
10: 250
1:25
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
an oak leaf is 79 mm long, and a maple leaf is 6 cm long. what is the difference in their lengths in cm?
Answers
Answer:
1.9cm
Step-by-step explanation:
79mm into cm is 7.9cm
As 10mm is 1 cm
Then you do 7.9 - 6 = 1.9cm
explain the steps needed to determine the value of the expression below. 3(y-4)-7y+3/4
Answers
Answer:
3(y-4)-7y+3/4=3y-(3)(4)-7y+3/4=-4y-12/1+3/4=-4y+(-12×4+3)/4=-4y-45/3
Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle.
3, 9, 10
Answers
Explanation:
Assign the sides by length with c being longest
If (a^2)+(b^2)>(c^2) it’s acute
If (a^2)+(b^2)=(c^2) it’s right
And if (a^2)+(b^2)<(c^2) it’s obtuse
Since (3^2)+(9^2)=9+81=90
And 10^2=100 we know that (a^2)+(b^2)<(c^2) so it’s obtuse
what is the midpoint of the line segment with endpoints (-5.5, -6.1) and (-0.5, 9.1)?
Answers
Answer:
(-5/2, 3/2)
Step-by-step explanation:
[(-5.5+.5)/2, (9.1-6.1)/2)} = (-5/2, 3/2)
Two teams are playing in the finals for an adult softball league. Each team has 13 players and the ages of the team members are shown in the tables. Which statement is true?
A) The mean for team 1 is greater than the mean for team 2.
B) The median for team 1 is greater than the median for team 2.
C) The median for team 2 is greater than the median for team 1.
D) The value of Q1 for team 1 is greater than the value of Q1 for team 2.
Answers
Answer:
B
Step-by-step explanation:
Plzzz help me, like plzzz
Answers
Answer:
y = 28
Step-by-step explanation:
28 = y
28 = 28
the angles are equal to each other because they are vertical angles
Surface Area
6. Answer the question above (use 3.14 for pi):
Answers
Preface: We know that the radius of the cylinder is 2 inches and the height is 7 inches. Using the surface area formula (for a cylindrical figure), which has been provided below, we can, through calculations, figure out that the surface area of the cylinder is...
Formula: A = 2π × r × h + 2πr2= 2πr (h + r)
Variables: The "A" is the answer; "R" represents the radius and the "H" is the variable for the height of the cylinder. For the purpose of this question, we'll substitute 3.14 for pi (π).
Surface Area ≈ 113.1, or if you want the exact solution: 113.09734.
The ratio of one side of ΔABC to the corresponding side of similar ΔDEF is 3:5. The perimeter of ΔDEF is 48 inches. What is the perimeter of ΔABC?
Answers
Answer:
28.8 inches
Step-by-step explanation:
We solve the above question using Proportion
The ratio of one side of ΔABC to the corresponding side of similar ΔDEF is 3:5.
ΔABC/ΔDEF = 3/5
Hence,
The perimeter of ΔDEF is 48 inches.
Let the perimeter of ΔABC = x inches
3/5 = x/48
Cross Multiply
5x = 48 × 3
x = 48 × 3/5
x = 28.8 inches
The perimeter of ΔABC is 28.8 inches
Help!!!!
There is one dot at 3.45. What does that value
represent?
A school administrator claims that the average GPA of
the senior class is 3.53. You think that the average GPA
is greater than that, so you select a random sample of
100 seniors and calculate their average GPA. The
sample mean GPA is 3.70.
Using technology, you simulate selecting 100 SRS of
size n = 100 from a population of seniors for which the
mean GPA is 3.53. This dotplot shows the results.
O In one simulated SRS of 100 students, the average
GPA was = 3.45.
In one simulated SRS of 100 students, the
population mean GPA was u = 3.45.
There is a 1 out of 100 chance that the population
mean GPA is = 3.45.
O A majority of the sample of 100 students had a GPA
of r = 3.45.
Answers
Answer: In one simulated SRS of 100 students, the average GPA was x= 3.45
Step-by-step explanation:
Each dot in the dot plot in representation of one sample of 100 students, also I just turned it in
Answer:
A
Step-by-step explanation:
EDGE
Solve for x. round to the nearest then tenth. Please help!!!
Answers
Answer:
13.7
Step-by-step explanation:
Answer:
x=36
Step-by-step explanation:
22+x=58
22-22= cross that out
58-22= 36
x=36
A square is drawn below what is the value of x
Answers
Answer:
You donf have the picture shown, how is anybody supposed to work on it
Solve the system of equations by the addition method.
8x+y=-2
4x-y=-14
Answers
[tex]8x + y = -2[/tex]
[tex]4x - y = -14[/tex]
To solve this via the addition method, we just need the two equations together; that means that we will create a new equation where the terms on the left side of both equations are added together and are set equal to the sum of the terms on the right side of both equations:
[tex](8x + y) + (4x - y) = (-2) + (-14)[/tex]
[tex]8x + y + 4x - y = -2 - 14[/tex]
[tex](8x + 4x) + (y - y) = -16[/tex]
[tex]12x + 0 = -16[/tex]
[tex]x = \frac{-16}{12}[/tex]
[tex]x = \frac{-4}{3}[/tex]
Now that we have solved for one term, we can plug this value into either equation to get the value for the other:
[tex]4x - y = -14[/tex]
[tex]4(\frac{-4}{3}) - y = -14[/tex]
[tex]\frac{-16}{3} - y = -14[/tex]
[tex]\frac{-16}{3} + 14 = y[/tex]
[tex]\frac{26}{3} = y[/tex]
This means the solution to the system of equations is [tex](-\frac{4}{3}, \frac{26}{3})[/tex]
Answer:
Step-by-step explanation:
8x + y = -2
4x - y = 14
12x = 12
x = 1
8 + y = -2
y = -10
(1, -10)
which sentence best describes percy's rectangle
Answers
I need help it's easy but not for me
Answers
Answer:
1. C. h = 2s + 75
2. J. c = 65m + 25
3. C. y = -3/5x + 3
4. F. T = 129c - 75
5. A. y = -0.5x -1
help me pls asap its to hard my brains about to explode
Answers
Answer:
1. c = 5.75b + 25
2. y = -1/3 + 5
3. y = -1/2 + 5
4. y = I can't tell what the numbers are from the photo, but (B) will be where the line is on the y axis of the graph.
Y = MX + (B)
Edit: Okay assuming the graph is going in the directions by one, meaning 1, 2, 3, or -1, -2, -3, and not any other sequence.
The answer for question will be y = 1/2x -1
I have 12 apples, but I take 2, 3 are molding, 1 has a worm in it, I'm eating 1, and 3 fell on the floor... how much apples do I have?
Answers
Answer:
12 counting the one you're eating
Step-by-step explanation:
solve for x.
x²= 16
a-8
b-4
c-32
d-64
Answers
Answer:
a
Step-by-step explanation:
you can do 16 divided by 2 to get the answer
Select all the true sentences!!!
Answers
Answer:
the second one and third one
Step-by-step explanation:
2 1/3 · 3 1/2
Could someone give me the product of this math problem?
Answers
Answer:
8.16666666667
Step-by-step explanation:
Which expression is equivalent to:1/2(x-8)+3x
Answers
Answer:
Step-by-step explanation:
1/2*(x-8)+3x=x/2-4+3x=3.5x-4
Hope this helps!
I need help ASAP plzzzz help
Answers
Answer:
D. X = 130 in.
Step-by-step explanation:
a² +b² =c² (Pythagorean theorem)
50² + 120²=c²
2,500 + 14,400 =c²
16,900 = c²
√16900 = √c²
130 = c
X = 130 in.
Evaluate (8 x 10-3) +0.45 – (7 X 10-2). Write your answer in
scientific notation.
Answers
Answer: 80 x − 60.55
Please help
I need the answer
Answers
Answer:
D. 14448
Step-by-step explanation:
S = Base area + lateral surface area
=2*(1/2*(56*42)) + (56+42+70)*72
= 2352 + 12096
= 14448
p-5 = 19
answer step by step & explain
Answers
Answer:
Step-by-step explanation:
Very simple.
p - 5 = 19
So to take out the -5 on that side, you must also do the same thing to the other side. So adding 5 in one side of the equal sign would mean you have to do the same thing on the other side of the equal sign.
SO:
p-5 +5 = 19+5
p = 24
26-5=19
(19+5 is also 26 so you can check your work that way)
Help please! Thank you will make brainly
Answers
Answer:
he can buy 7 video games
Step-by-step explanation:
Answer: He can buy up to 7 video games
Step-by-step explanation:
You can't buy .8 of a video game so you have to round down to the nearedt whole number which is 7
Please help asapppppp
Answers
HELPPP ASAP!!!
How many cubes are in this set?
Answers
Answer:
7
Step-by-step explanation:
7 because it's not asking for squares it asking for cubes
The scale on a map of Virginia shows that 1 inch represents 45 miles. the actual distance from Richmond, Va, to Washington, D.C., is 110 miles. on the map, how many inches are between the two cities?
Answers
Answer: 2.44 inches
Step-by-step explanation:
Since the scale on a map of Virginia shows that 1 inch = 45 miles while the actual distance from Richmond, Va, to Washington, D.C., is 110 miles.
The number of inches that are between the two cities will be represented by x. Therefore,
1/x = 45/110
Cross multiply
45x = 110
x = 110/45
x = 2.44 inches
The Distance between the two cities on the map is 2.44 inches
PLEASE HELP I NEED TO PASS
What is the perimeter of the triangle? (Round to the nearest tenth)
Answers
Answer:
P = 43.3
Step-by-step explanation:
sin 38° = EF/18
EF = 18·sin 38°
EF = 11.1
to find DF:
sin 90°/18 = sin 52°/DF
1/18 = .79/DF
DF = 14.2