Given:circle O, with tangent segments AC and AB . What is the measure of angle A

Given:circle O, With Tangent Segments AC And AB . What Is The Measure Of Angle A

Answers

Answer 1

Answer:

B 84

Step-by-step explanation:

Angle COB = 96 (Angle CDB x2)

Lets split Quadrileteral ABOC into 2 equal parts.

Angle ABO = 90 (tangent segment of circle)

Angle AOB = 96/2 = 48

Angle OAB = 180 - 90 - 48 = 42

Angle A = Angle OAB x 2 = 42 x 2 = 84

Therefore Answer is B.

Answer 2

The measure of angle A in the given cyclic quadrilateral is determined as 84⁰.

Measure of angle A

The measure of angle A is determined from the following steps;

Determine angle COB

∠COB = 96 (angle at center is twice angle at the circumference)

Consider the following triangles;

Δ AOB + Δ AOC = COB

Determine angle AOB

∠ABO = 90 (tangent segment of circle)

∠ AOB = 96/2 = 48

Determine angle OAB

∠OAB = 180 - 90 - 48 = 42

Since, angle OAB is half of angle A in the quadrilateral OCAB

Angle A = ∠OAB x 2 = 42 x 2 = 84⁰

Thus, the measure of angle A in the given cyclic quadrilateral is determined as 84⁰.

Learn more about cyclic quadrilateral here: https://brainly.com/question/10057464


Related Questions

What is the slope and y-intercept of the line y = -4x + 8 ?
The slope of the line is -4. and the y-intercept is (0.8).
O The slope of the line is 8. and the y intercept is (0.-4).
O The slope of the line is 4, and the y-intercept is (0.-8).
The slope of the line is -4, and the y intercept is (0.8).

Answers

Answer:

D

Step-by-step explanation:

Did the test and got it right

Answer:

D

Step-by-step explanation:

Marcus has to write a 4 1/2 page essay for his English class.he has only written 1 1/6 pages. how many pages does he have left to write?

Answers

Answer:

3 2/6

Step-by-step explanation:

total pages to be written

add 4 to 1/2 using common denominators

4 1/2 = 8/2 + 1/2

= 9/2 or 27/6

pages Marcus wrote

add 1 to 1/6 using common denominators

1 1/6 = 6/6 + 1/6

= 7/6

pages left

27/6 - 7/6 = 20/6 or 3 2/6

Circle graphs are used to display information categorical or numerical

Answers

Answer:

it shows percentage of an item or anything else

Answer:

categorical

Step-by-step explanation:

A circle graph is a way of summarizing a set of categorical data or displaying the different values of a given variable.

HELP plsssssssss i willgive brainiest

Answers

26: connoisseur
27: engulf
28: emulate
29: stupefy
30: rudimentary
Just comment under my answer if you want the words’ explanations/meanings :)

Answer:

26. connoisseur

27. engulf

28. emulate

29. stupefy

30. rudimentary

Step-by-step explanation:

can someone explain this

Answers

9514 1404 393

Answer:

resultant force: 93.946∠-10.62° Nline of action: 17.314x +92.337y = 809.433

Step-by-step explanation:

We can use the notation a∠b to represent the (x, y) components (a·cos(b), a·sin(b)), where angle b is measured CCW from the +x direction. If we label the forces a, b, c, d clockwise from A, then we have ...

  a = 80∠0° = (80, 0)

  b = 60∠90° = (0, 60)

  c = 90∠45° = (63.640, 63.640)

  d = 150∠-110° = (-51.303, -140.954)

__

If we label point A the origin, then the clockwise torque on point A is the sum of products of the force x-component and its y location, and its y-component and the negative of its x location.

  T = (0, 0)·(80, 0) +(3, 0)·(0, 60) +(3, -8)·(63.640, 63.640) +(0, -8)·(-51.303, -140.954)

  T = 809.433 . . . . n·m, the CW torque on point A

__

The sum of forces is ...

  F = a +b +c +d = (92.337, -17.314) = 93.946∠-10.62° . . . N

__

This force, applied to the point of application, must generate the same torque as the given forces. That is ...

  F·(y, -x) = 809.433

Then the equation of the line of action is ...

  17.314x +92.337y = 809.433 . . . . . x and y in meters measured from A

Any point (x, y) on this line will serve as a point of application of the force. Unfortunately, this line of action does not pass through the rectangular plate. The attachment shows the point (D) on the line of action that is closest to point A.

_____

Additional comment

The resultant force could be decomposed into two forces acting on the rectangular plate. One could be of much larger magnitude, operating at the corner opposite point A. This force would provide the necessary torque. Another would be acting on point A, providing no torque, but with components such that the resultant has the correct magnitude and direction.

Find the radius of the sphere with the given volume. (15 points)
Please show your work!

Answers

Answer:

r = 1/2

Step-by-step explanation:

sphere volume = 4/3πr³

4/3πr³ = 1/6π

divide both sides of the equation by π:

4/3r³ = 1/6

multiply both sides by 6:

24/3r³ = 1

reduce:

8r³ = 1

divide both sides by 8:

r³ = 1/8

r = 1/2

What is the volume of a cube that has 4 as width, 5 as length, and 6 as height?

Answers

Answer: 120 cubed units

Step-by-step explanation: The area of a cube is lwh (length×width×height) which in this case is 5×4×6=120!

hello, please help i’ll give u okayyy ly!!!! <3

Answers

Step-by-step explanation:

Isoceles triangle.

It is a isoceles triangle since we know that one triangle angle measure is 80 we can solve the rest.

Since line AB and CD is parallel and line AC is the transversal, Angle A measure is 50 via the alternate interior angle postulate.

We can then using the triangle interior theorem to find the third angle.

80+50+x=180

130+x=180

x=50

So the third angle measure is 50.

Using the definition of a isoceles triangle, the triangle has two congruent measures so it is a isoceles triangle.

estimate the percent of the number 7% of 501​

Answers

Answer:

35.7

Step-by-step explanation:

I typed percentage calculator, find a calculator, calculate it, find 35.7‍♀️

WORK PAGE: Show all of your work to find the measure of the arc.
P
O
39°
42°
S
R
The measure of arc RPQ IS
degrees.

Answers

Um i don’t see the picture

Convert: 8 quarts = _____ pints

Answers

Answer:

16

Step-by-step explanation:

Have a nice day :)

Answer:

8 quarts = 16 pints

Step-by-step explanation:

Question 7: The ratio of M's to A's cat is 5:7. Meg's cat weighs 20 kg. How
much more does Anne's cat weigh?
A) 28 kg
B) 2 kg
C) 8 kg
D) 9.3 kg

Answers

Answer: C

Step-by-step explanation: The ratio shows that Anne's cat is 2kg heavier, but Meg's cat weighs 20kg which is 4 times what the ratio shows the weight is, so the difference of the weight is also 4 times greater, which is 8kg!

The value of weight of Anne's cat will be 28 kg. Then the correct option is A.

What is the ratio?

The utilization of two or more additional numbers that compares is known as the ratio.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The ratio of M's to A's cat is 5:7. Meg's cat weighs 20 kg.

Let 'x' be the weight of Anne's cat. Then the equation is given as,

5 / 7 = 20 / x

Simplify the equation, then we have

5 / 7 = 20 / x

1 / 7 = 4 / x

x = 28 kg

The value of weight of Anne's cat will be 28 kg. Then the correct option is A.

More about the ratio link is given below.

https://brainly.com/question/13419413

#SPJ2

Find the perimeter of the figure to the nearest hundredth. ​

Answers

Answer:
50.274in

Explanation:

Half circle perimeter
9/2 = 4.5
2 * pi * 4.5 = 28.27433388230814

28.27433388230814 + 5 + 12 + 5 = 50.27433388230814

Answer = 50.27433388230814
Rounded to nearest hundredth = 50.274

I hope I helped. Brainliest would be appreciated

are the numbers linear or nonlinear
x- 0, 3, 6, and 9
y- -3, 9, 21, and 33

Answers

Answer:

I'm not really,

sure but I think non linear

Step-by-step explanation:

sorry if I'm wrong

These numbers are non linear. You just need to graph it

Solve sqrt3 tan theta<-1 for 0

Answers

Answer:

\tan \left(θ\right)=\frac{\sqrt{3}}{3}

Step-by-step explanation:

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

even

Step-by-step explanation:

graph is symmetrical across the y-axis

legs and hypotenuse ​

Answers

Answer:

Step-by-step explanation:

For a right triangle, the side that is opposite of the right angle is called the hypotenuse. This side will always be the longest side of the right triangle. The other two (shorter) sides are called legs.

Please help

Find the equation of a line, in slope-intercept form of a line that passes through the point (-5, -1) and is parallel to the line -2x + 4y = 8.

1. y = -1/2x +13/2
2. y = 1/2x - 3/2
3. y = -1/2x - 7/2
4. y = 1/2x + 3/2

Answers

Answer:

4. y = 1/2x + 3/2

Step-by-step explanation:

First, we need to change the line that's parallel into slope-intercept form.

-2x + 4y = 8

4y = 2x + 8

y = 1/2x + 2

If it's parallel, then it remains the same. So our slope is 1/2.

To find the y-intercept, you need to plug the coordinates into the equation.

y = 1/2x + b

-1 = 1/2(-5) + b

-1 = -5/2 + b

3/2 = b

y = 1/2x + 3/2

What is the slop and the y-intercept on the graph?

Answers

Answer:

Slope= 2 ; y intercept= 4

Step-by-step explanation:

Slope: (y2 - y1)/(x2-x1) where x and y indicate the coordinates of two points

Slope = (4-0)/(0-(-2) = 4/2 = 2

y intercept is where the line intercepts the y axis: it happens in (0;4)

Answer:

y intercept is 4 and slope is 2

Step-by-step explanation:

There are 100 chairs arranged for people to watch a band concert. If 92 chairs have people sitting in them during the concert, what percentage of the chairs are filled?

Answers

92%
because you divide 92 by 100

Heya!
[tex] \underline{ \underline{ \text{Question}}} : [/tex] In the given [tex] \triangle[/tex] ABC , AE is the bisector of [tex] \angle[/tex] BAC. If BO [tex] \perp[/tex] AE and BM = MC , prove that OM [tex] \parallel[/tex] AC.

Answers

Answer:

this is your answer look it once.

Answer:

this is your answer look it once:

HELP PLEASE 15 POINTS

Answers

Angle C, it sounds obvious but they correspond to the angle in the same order as them, as both E and C are in the middle it has to be C.

Answer:

C

Step-by-step explanation:

ΔDEF ≅ ΔBCA

It's asking which one is similar to ∠E

∠E ≅ ∠C

This is flipping a figure over the axis of symmetry. Every point has a corresponding point in the new image on the opposite side of the axis of symmetry, except when the point lies on the axis. It is called a ____.

first two letters re

Answers

Answer:

Reflection

Step-by-step explanation:

A reflection is if a shape was flipped to the other side. The side can be the x or y axis.

Answer:

Reflection

Step-by-step explanation:

Round the number 74.054 to the nearest tenth

Answers

Answer:

74.054 rounded to the nearest tenth is equivalent to 74.1

Step-by-step explanation:

Since you're rounding 74.054 to the nearest tenth, you need to focus on the hundredths place. If the number on the hundredths place is greater than or equal to 5, then you round up. If not, keep the number in the tenths place the same. In this case, 5 is in the hundredths place, which means you need to round the 0 in the tenths place up by 1. So 74.054 rounded to the nearest tenths is equivalent to 74.1.

It would be 74.1 hope this helps

If measured at the same moment, the length of a person's shadow varies directly with the height of the person. If a 3 foot child casts a 5 foot shadow, what is the length of the shadow of a 6 foot adult?​

Answers

Answer:

10 ft

Step-by-step explanation:

let l be length of shadow and h the height of a person

Given l varies directly with h then the equation relating them is

l = kh ← k is the constant of variation

To find k use the condition h = 3, l = 5 , then

5 = 3k ( divide both sides by 3 )

[tex]\frac{5}{3}[/tex] = k

l = [tex]\frac{5}{3}[/tex] h ← equation of variation

When h = 6 , then

l = [tex]\frac{5}{3}[/tex] × 6 = 5 × 2 = 10 ft

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

even

Step-by-step explanation:

Answer:

Odd its ok if i get it wrong i tried

Step-by-step explanation:

Please help I’ll give brainleist.

Answers

Answer:

B

Step-by-step explanation:

4 represents the number of bounces

and 1/2 represents the decreases in the height of  bounce

HAVE A GREAT DAY!

Find the area of the rhombus

Answers

Answer:

108

Step-by-step explanation:

none. I looked it up...so ion know lol. Im just tryna get these 50 points for sum reason...

the answer is 108 .

b. Canada had about
as many total medals as Australia

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: The united states has the most metals out of all of the countries.

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

A right prism has a volume of 65 cubic inches. The prism is enlarged so its height is increased by a factor of 20, but the other dimensions do not change. What is the new volume? A.1000 in .3 B.1300 in .3 C.1200 in. 3 D. 1100 in.3

Answers

Answer:

Volume of a right prism = 65 cubic inches

Its height is increased by a factor of 20.

To find:

The new volume of the prism if the other dimensions do not change.

Solution:

The volume of a prism is:

[tex]Volume=Bh[/tex]

Where, B is the base area and h is the height.

A right prism has a volume of 65 cubic inches.

[tex]65=Bh[/tex]

The height of prism is increased by a factor of 20. So, the new volume is:

[tex]Volume=B(20h)[/tex]

[tex]Volume=20(Bh)[/tex]

[tex]Volume=20(65)[/tex]

[tex]Volume=1300[/tex]

The volume of the new prism is 1300 in³.

Therefore, the correct option is B.

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