Which of the following statements is true?

Which Of The Following Statements Is True?

Answers

Answer 1

Given:

A figure of a circle.

To find:

The correct statement for the given figure.

Solution:

According to the tangent secant theorem, if two tangents or two secants are drawn to the circle from an exterior point, then the measure of angle between the tangents or secants is:

[tex]\text{Exterior angle}=\dfrac{1}{2}(\text{Difference between intercepted arcs})[/tex]

[tex]\text{Exterior angle}=\dfrac{1}{2}(\text{Larger arc - smaller arc})[/tex]

In the given figure, the exterior angle is 32 degrees, larger arc is QAI and smaller arc is QI.

[tex]32^\circ=\dfrac{1}{2}(m(arcQAI)-m(arcQI))[/tex]

Therefore, the correct option is C.


Related Questions

what is 64x6+27 written as a sum of cubes?​

Answers

Answer:

To transform the given expression to the sum of cubes, calculate first the cube root of the terms. The cube root of the first term, 64x^6 is 4x^2 and that of the second term, 27 is 3.

Thus, the answer to this is (4x^2)^3 + 3^3

the height of the rectangular box is 4 times its width, and its length is 2 in more than its width. the volume of the box is 60in^3

Answers

Step-by-step explanation:

height= 4b

length = 2 + b

volume = 60in³

or, l ×b × h = 60in³

or, (2+b) × b × 4b = 60in³

or, 4b²(2+b) = 60in³

or, 8b² + 4b³ = 60

or, 2b² + b³ = 15

or, b³ + 2b² -15= 0

b= 1.95

l= 2+1.95=3.95

h= 4×1.95 = 7.8

recursive formula for 3,5,7,9,11

Answers

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 2

Step-by-step explanation:

There is a common difference d between consecutive terms

d = 5 - 3 = 7 - 5 = 9 - 7 = 11 - 9 = 2

A recursive formula allows a term in the sequence be found by adding d to the previous term, then

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 2 : with a₁ = 3

PLLSSSSS HELPPPP I DONT GET THIS AT ALL

Answers

Answer:

[tex]y\leq 4[/tex]

Step-by-step explanation:

The range is about the y values, and by looking at this parabola we can see that the maximum value is a 4. So the range would be the maximum and below (where the parabola extends to). So the values in the range would be equal to 4 and less than since the parabola is negative.

Hope this helps :)

The graph below shows a proportional relationship between y and x.

What is the constant of proportionality, y/x?

y to x
40 1
60 1.5
80 2

Answers

Answer:

80 2

Step-by-step explanation:

am not sure about that answer i think it is correct

Answer:

40

Step-by-step explanation:

What the perimeter of the triangle

Answers

Answer:

24

Step-by-step explanation:

so multiplies see och the rest of the world and the second half and the other hand if you have a good and the second one is the only way only a and the other is the first time I saw one he and only best o

Answer:

33b-8 is the perimeter

Step-by-step explanation:

Triangle is an Isosceles triangle so two side is equal

2(12b - 8) + 9b + 8

Distribute

24b - 16 + 9b + 8

Combine like terms

33b -8

uhh i dont understand but if you do all of these I will give you brainliest on all of your answers it

Answers

Answer:

Step-by-step explanation:

What is the distance between (5, -6) and (2, -6) on a coordinate plane?

Answers

Answer:

3 units is the answer..

hope it helps

Which of the following represents a sum from the expression given?


A. 21
B. 2
C. 13x2
D. 13x2 + 8x

Answers

d.13x2+8x , possibly be ur answer

Find the volume of a pyramid with a square base, where the perimeter of the base is 6.9 cm and the height of the pyramid is 6.4 cm. Round your answer to the nearest tenth of a cubic centimeter

Answers

Answer:

6.3 cm^3

Step-by-step explanation:

volume of a pyramid = 1/3(length x width x height)

perimeter of a square = 4 x length

6.9 = 4 x length

length = 6.9 /4 = 1.725

Volume = 1/3 x (1.725 x 1.725 x 6.4) = 6.348

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero


A.5,8 and 4,5
B.5,8 and 4,3
D. 4,5 and 4,3

Please help

Answers

Answer:

b

Step-by-step explanation:

HELP ME PLZZZZ!!!!!!!!!!!!!!!!!!

Answers

the radius of the distance between the middle point of the circle and the outside, we have the diameter which is 6 so the radius will be 3

slant height is

[tex]\sqrt{r^2+h^2}[/tex]

h is 4.7 and r is 3

[tex]\sqrt{3^2+4.71^2} \\5.58427[/tex]

slant height is 5.58427

lateral surface area

[tex]\pi r\sqrt{h^2+r^2}[/tex]

[tex]\pi (3)\sqrt{4.71^2+3^2} \\52.63053[/tex]

lateral surface area is 52.63053

total surface area

[tex]\pi r(r+\sqrt{h^2+r^2})[/tex]

[tex]\pi 3(3+\sqrt{4.71^2+3^2})[/tex]

[tex]80.90486[/tex]

total surface area is 80.90486

The slant height of the cone is 5.6km, the total surface area is 50.4πkm, the lateral surface area is 16.8π km.

What is a cone?

A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreases to a certain point.

The volume of a cone is (1/3)πr²h.

The total surface area of a cone is πr(r + l).

The curved surface area is πrl.

In the given question radius of the cone is (6/2) km = 3 km.

The slant height of the cone is 5.6 km.

The total surface area of the cone is = π×3(3 + 5.6) km.

= 3π(16.8) km.

= 50.4π km.

lateral surface area is = π×3×5.6 km.

= 16.8π km.

learn more about cones here :

https://brainly.com/question/23863102

#SPJ2

20/22 is the tangent value of which reference angle

Answers

Answer:

X

Step-by-step explanation:

Mathematically, the tangent of an angle is the ratio of the opposite side to the adjacent side

So, for 20/22; 20

is the opposite while 22 is the adjacent

The opposite side simply refers to the side that faces the given angle

We have the opposite side here as facing the angle X and that makes X the correct answer

How do I do this math problem

Answers

the answer to the problem is:

M = 1

Pls help and thank youuuu

Answers

Answer:

-3

Step-by-step explanation:

3 cubed is 27 and since its a negative integer you keep the (-) symbol.

The would have been 3 if it asked for the negative cube root of -27

Can someone explain it to me?

Answers

9514 1404 393

Answer:

  175.2 square feet

Step-by-step explanation:

The lateral area is the total area of the side faces. It excludes the area of the top and bottom "bases" of the prism.

It can be found by adding the areas of the four rectangles. The two you can't see have the same areas as the two you can see.

Since the height of each rectangle is 4 feet. the total area will be the product of that and the perimeter of the prism.

  LA = Ph . . . . perimeter times height

  LA = 2(L+W)h . . . . the perimeter is twice the sum of length and width

  LA = 2(12.3 ft + 9.6 ft)(4 ft) = 2(21.9 ft)(4 ft) = 175.2 ft²

The lateral area of the prism is 175.2 ft².

__

The attachment shows scribbling on two of the faces that contribute to the lateral area. As stated above, the other two faces are the same size as these.

Consider the series 1/4 1/8 1/16 1/32 What is an expression of Sn for the series shown?

Answers

Answer:

c

Step-by-step explanation:

edg 21 ^u^

Answer:

The person above me is correct. :D

Step-by-step explanation:

Carla and Andrew have 29 puppies. Andrew has 8 more than twice Carla How many puppies does person have?

Answers

Answer:

Andrew has 22 puppies, Carla has 7 puppies.

Step-by-step explanation:

Let's set up an equation.

Carla and Andrew have 29 puppies.

C + A = 29

Andrew has 8 more than twice Carla.

A = 2C + 8

Let's use substitution by plugging A into C + A = 29.

A = 2C + 8 & C + A = 29

C + (2C + 8) = 29

Now, let's combine like terms.

3C + 8 = 29

Subtract 8 from both sides.

3C = 21

Divide both sides by 3.

C = 7

Carla has 7 puppies. Plug in this value back into C + A to find how many puppies Andrew has.

C + A = 29

7 + A = 29

A = 22

Andrew has 22 puppies.

Let's check our work. Plug in Andrew and Carla's number of puppies back into our original equations.

C + A = 29

7 + 22 = 29

29 = 29

Correct!

A = 2C + 8

22 = 2(7) + 8

22 = 14 + 8

22 = 22

Your answer is correct!

Hope this helps!

Do Now
You decide to bake Banana Bread. The recipe calls for 1 1/2 bananas, to 2 1/2 cup of
flour, to 1 cup of sugar. You only have 1 cup of flour to use. What is the new ratio
for the other two ingredients using this unit rate of flour?

Answers

Answer:

1 banana, 1 cup flour, 2/3 cup sugar

Step-by-step explanation:

There are 4 red marbles and 7 blue marbles in a bay.

(a) What is the ratio of all marbles in the bag to blue marbles?

(b) What is the ratio of all marbles in the bag to red marbles?

Answers

Answer:

a:  11:7

b: 11:

I hope this helped :)

a: the ratio of all marbles in the bag to blue marbles is 11:7.


b: the ratio of all marbles in the bag to red marbles is 11:4

What is the answer to the question

Answers

Step-by-step explanation:

[tex] \frac{360 - 2(99)}{2} = \\ = \frac{360 - 198}{2} = \\ = \frac{162}{2} = \\ = 81[/tex]

Answer: 81°

Step-by-step explanation:

Angles on a straight line always add up to 180°.

So as a and 99° are on the same straight line you would have to do 180-99=81°

Hope this helps :)

thisss plsss and thank you

Answers

Answer:

65°

Step-by-step explanation:

81°+124°+90° (right angle) = 295

360-295 = 65°

8. The two triangles are congruent as suggested by their appearance. Find the value of all the variables. The
diagrams are not to scale.

Steps would be extremely appreciated (20 points)

Answers

Answer: d is 53 degrees, c is 5, g is 13, e is 90 degrees, f is 37 degrees, b is 12 .

Step-by-step explanation:

Since they're congruent you just compare the two and replace them. You have the answers on both sides, they're just split up. So look at one side, then the other, and see what you can find. Repeat.

Answer and Step-by-step explanation:

Since the triangles are congruent, that means all the variables correspond to the values of the other triangle, and vise versa.

g = 13

b = 12

f = 37

a = 90

c = 5

d = 53

I hope this helps!

#teamtrees #PAW (Plant And Water)

Graph the line Y = 20​

Answers

Answer:

Step-by-step explanation:

A bike shop in Belleville bought a mountain bike for $723 and marked it up 50% from the original cost. Later on, Andy purchased the mountain bike and paid Belleville sales tax of 14%. How much, including tax, did he pay for the mountain bike?

Answers

Answer:

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto.

Step-by-splanation:

Answer:

hey

Step-by-step explanation:

so i dont know

how to solve this and i cant help u

in the equation shown, what is the value of x?

Answers

Answer:

5^8/5^x=5^6 the asnwer is 2

This is from my algebra class, can anyone can answer this?

Answers

Answer:

y = (x + 1)^2 + 2

Step-by-step explanation:

The graph is 2 units up and 1 unit to the left

a = 1 because from the vertex, it goes 1 up when left/right, then 4 up when left/right

find the greatest value of x​

Answers

Answer:

30°

Step-by-step explanation:

if correct pls mark brainliest

Question 4
.1 The ratio of boys to girls at an athletics practice is 4:3. There are 49 athletes in total at the
practice. How many boys were at the practice?
2 In a maths class, the girl to boy ratio is 7:5. If there are 20 boys,
how many girls are in the class?
B A car travels from Polokwane to Mokopane at a speed of 100 km/h.
If Mokopane is 150 km from Polokwane, how long will the trip take?
[7]
estion 5​

Answers

Answer:

1) 28

2) 28

B) 1 and 1/2 hr

The shape below is made of a semicircle and a triangle.
2)
16 cm
12 cm
Determine the area of this shape
Show your work

Please help me I will give 10 points
Please only correct answers

Answers

Answer:

32π + 96 [tex]cm^{2}[/tex] = exact area

196.48 [tex]cm^{2}[/tex] = area to the nearest 100th

Step-by-step explanation:

Area of semicircle = 1/2π[tex]r^{2}[/tex] = 1/2π[tex]8^{2}[/tex] = 1/2π(64) = 32π

Area of triangle = 1/2bh = 1/2(16)(12) = 96

Total area =  32π + 96 [tex]cm^{2}[/tex]

or 100.48 + 96 = 196.48 [tex]cm^{2}[/tex]

32π + 96 cm²  = exact area

196.48 cm²  = area to the nearest 100th

What is a semi-circle?

A semicircle is a one-dimensional locus of points that makes up one half of a circle in mathematics. A semicircle's whole arc is always 180 degrees long. It just has one symmetry line.

Given

Area of semicircle = 1/2πr² = 1/2π(8)² = 1/2π(64) = 32π

Area of triangle = 1/2bh = 1/2(16)(12) = 96

Total area =  32π + 96 cm²

or 100.48 + 96 = 196.48 cm²

To know more about semi-circles refer to:

https://brainly.com/question/10653168

#SPJ2

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