A triangle ABC is inscribed in a circle, such that AB is a diameter. What are the measures of angles of this triangle if: measure of arc BC = 134°;

Answers

Answer 1

Answer:

The measures of angles of this Δ are 23° , 67° , 90°

Step-by-step explanation:

* Lets talk about some facts in the circle

- An inscribed angle is an angle made from points sitting on the

 circle's circumference

- A central angle is the angle formed when the vertex is at the center

 of the circle

- The measure of an arc of a circle is equal to the measure of the

 central angle that intercepts the arc.

- The measure of an inscribed angle is equal to 1/2 the measure of

 its intercepted arc

- An angle inscribed across a circle's diameter is always a right angle

- The triangle is inscribed in a circle if their vertices lie on the

  circumference of the circle, and their angles will be inscribed

  angles in the circle

* Now lets solve the problem

- Δ ABC is inscribed in a circle

∵ its side AB is a diameter of the circle

∵ Its vertex C is on the circle

∴ ∠C is inscribed and across the circle's diameter

∴ ∠C is a right angle

∴ m∠C = 90°

∵ The measure of arc BC = 134°

∵ ∠A is inscribed angle subtended by arc BC

∵ The measure of an inscribed angle is equal to 1/2 the measure

   of its intercepted arc

∴ m∠A = 1/2 × 134° = 67°

∵ The sum of the measures of the interior angles of a triangle is 180°

∵ m∠A = 67°

∵ m∠C = 67°

∵ m∠A + m∠B + m∠C = 180°

∴ 67° + m∠B + 90° = 180°

∴ 157° + m∠B = 180° ⇒ subtract 157 from both sides

∴ m∠B = 23°

* The measures of angles of this Δ are 23° , 67° , 90°


Related Questions

Karen has a cube that has a length of 6 inches. What is the surface area of this cube?​

Answers

Answer:

circle

Step-by-step explanation:

Answer:

216 in²

Step-by-step explanation:

A cube has 6 congruent square faces, thus

area of 1 face = 6 × 6 = 36 in² and

area of 6 faces = 6 × 36 = 216 in²

plz help me brainliest to whoever answers first.

Answers

Answer:A) n=-6

Step-by-step explanation:

Answer:

n = -6

Step-by-step explanation:

3n + 14 = -4

Subtract 14 from both sides

3n = -18

Divide both sides by 3

n = -6

Where mBD =70° and mCA = 170°

Answers

Answer:

m∠BPD = 120

mBC + mAD = 120°

Step-by-step explanation:

according to intersecting chord theorem: The measure of the angle formed by two chords  that intersect inside the circle is [tex]\frac{1}{2}[/tex] the sum of the chords' intercepted arcs.

m∠BPD = [tex]\frac{1}{2}[/tex] (M∠BD + M∠CA)

             = [tex]\frac{1}{2}[/tex]  (70 + 170)

             =  [tex]\frac{1}{2}[/tex] (240)

m∠BPD = 120

We know that a circle has a total of 360° around the center of circle. To find the measure of the remaining measure of angle of arcs, subtract them from the whole that is 360°

mBC + mAD = 360 - ( 70 + 170 )

                     = 360 - 240

mBC + mAD = 120°

Distance Between Points

Choose all that correctly give the distance in the coordinate plane between two points.

(−5, 8), (5, 8)
d = 10

(3, 8), (3, −6)
d = 12

(−2, −9), (−2, 4)
d = 13

(8, −7), (1, −7)
d = 9

(−12, −4), (−6, −4)
d = 6

Answers

Answer:

(−5, 8), (5, 8)

d = 10

(−2, −9), (−2, 4)

d = 13

(−12, −4), (−6, −4)

d = 6

Step-by-step explanation:

Answer:

(−5, 8), (5, 8)

d = 10

(−2, −9), (−2, 4)

d = 13

(−12, −4), (−6, −4)

d = 6

Step-by-step explanation:

Can someone help me find the rule?

Answers

I think the rule might be x-9

Find two numbers that multiply to 60 and add to 19

Answers

the answers are 15 times 4.

Need help with this

Answers

Answer:

12.25 ounces

Step-by-step explanation:

There are 7 toys, each weighs 1 3/4 ounces.You do 1 3/4 times 7 to get the total weight.

Answer:

The bag would weigh 12 1/4 ounces.

Step-by-step explanation:

I WILL GIVE A FREAKING BRAINLIEST!!!!!!!!!!!

JUST ANSWER THE QUESTION PLEEEEEEAAAAAASSSSSSEEEEEEE!!!!!!!!!!!!


A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:


f(t) = −16t2 + 16t + 32


Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?

0.5 < t < 1

0.5 < t < 2

1 < t < 2

1 < t < 1.5

Answers

Answer:

  0.5 < t < 2

Step-by-step explanation:

The function reaches its maximum height at ...

  t = -b/(2a) = -16/(2(-16)) = 1/2 . . . . . . where a=-16, b=16, c=32 are the coefficients of f(t)

The function can be factored to find the zeros.

  f(t) = -16(t^2 -1 -2) = -16(t -2)(t +1)

The factors are zero for ...

  x = -1 and x = +2

The ball is falling from its maximum height during the period (0.5, 2), so that is a reasonable domain if you're only interested in the period when the ball is falling.

Approximate one of the solutions to the system of equations graphed below?
A)(-3, -3)

B)(0, 5)

C)(3, 0)

D)(4, -5)

Answers

Answer:

Correct choice is D)(4, -5).

Step-by-step explanation:

We have been given a graph of two functions which intersect at some points. Using that graph we need to approximate one of the solutions to the system of equations graphed below. where given choices are:

A)(-3, -3)

B)(0, 5)

C)(3, 0)

D)(4, -5)

From graph we can see that given graphs of red curve and blue curve intersect at two points (-2,0) and (4,-5).

Hence correct choice is D)(4, -5).

Which of the points A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10) belong to the graph of direct variation y=− 1/2x?

Answers

Answer:

B

Step-by-step explanation:

To solve this, we can plug in values to see which one works. Since it is a variable equals a variable, the answer is B(0,0)

In the diagram below , tan theta =square root 3. What is the value of m?

Answers

Answer:

[tex]m=\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

we know that

In the diagram

[tex]tan(\theta)=\frac{m}{1/2}=2m[/tex]

[tex]tan(\theta)=\sqrt{3}[/tex]

Equate

[tex]2m=\sqrt{3}[/tex]

[tex]m=\frac{\sqrt{3}}{2}[/tex]

Answer:

B

Step-by-step explanation:

Option B on edge

what is the volume of a oblique cylinder with a height of 18 and a radius of 10

Answers

Answer:

[tex]V=1,800\pi\ units^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=10\ units[/tex]

[tex]h=18\ units[/tex]

substitute

[tex]V=\pi (10)^{2}(18)[/tex]

[tex]V=1,800\pi\ units^{3}[/tex]


At Camper’s Paradise, sales have increased 15%, 20%, and 10% over the past three years; that is, 15% three years ago, 20% two years ago, and 10% one year ago. If sales this year are $1,000,000, how much were sales three years ago? Round each year’s sales to the nearest dollar.

Answers

Answer:

10000000

Step-by-step explanation:

How does the combined volume of the small cubes compare to the volume of the large cube

Answers

Answer: A large cube consists of smaller cubes. The more small cubes, the greater the large cube.

Step-by-step explanation:

What are the values of d, e, and f?

Answers

Answer:

B

Step-by-step explanation:

The given equation y = 2x^2 -12x - 32 can be factored as follows:

y = 2(x^2 - 6x - 16) = 2(x - 8)(x + 2).  Then its roots are x = -2 and x = 8.

Since d > e and 8 > -2, we conclude that d = 8 and e = -2.

We need to find the minimum of y = 2x^2 -12x - 32.

We can do this by finding the vertex:                  b

The equation of the axis of symmetry is x = - ----------

                                                                                2a

                                 -12

which here is x = - --------- = 3

                                 2(2)

so f = 3.

Answer choice B is correct.

Answer:

Tama sya Ayan yung lumabas na sagot

Phillipa earns $10 for each haircut she gives.

Which equation shows the amount Phillipa will earn if she gives h haircuts?
(Use t to represent the total earned, and h to represent the number of haircuts.)
a. t = 10 + h
b. t = 10h
c.t = 10 – h
d. t = 10/h

Answers

Answer is B, Just some mutiplaction

a school cafeteria makes cheese sauce for macaroni using 15 cups of swiss cheese 17 cups of cheddar cheese. Perry tries to make the sauce for a family party using 5 cups of swiss cheese and 7 cups of cheddar cheese. is Perry using the correct ratio? explain. (pls do explain. it's on my school work and I need an explanation.)


(middle school ratios)

Answers

Cafeteria ratio of Swiss cheese to cheddar cheese is 15:17.

Perry’s ratio of Swiss chess to cheddar cheese is 5:7.

Wrong ratio because 5 * 3 = 15 but 7 * 3 does not equal 17.

For this case we have that by definition, it is known as proportion to the relationship of equality that exists between two reasons, that is, between two comparisons. That is: if [tex]\frac {a} {b}[/tex]is a ratio, then the equality [tex]\frac {a} {b} = \frac {c} {d}[/tex] will be a proportion.

Then, 15 cups of Swiss cheese for every 17 cheddar:

1[tex]5:17\\\frac {15} {17}[/tex]

We want to verify the proportion:

[tex]15:17 :: 5: 7\\\frac {15} {17} = \frac {5} {7}\\7 * 15 = 5 * 17[/tex]

Equality is not met!

Answer:

You are not using the correct proportion

Mine A is 225 feet underground and Mine B has an elevation of -223 feet. Which mine is further underground

Answers

Answer: Mine A

Step-by-step explanation: Mine A is further underground because elevation means height and when it’s shows a number that is negative that means underground. 225 is greater than 223. So Mine A is further underground.

Answer:

Step-by-step explanation:

Mine A, Mine B is not even a mine, its negative, not a hole

Ms.Willer wanted to donate 27 cans of food to each of 8 food banks.Each of the 23 students donated 9 cans. How many more cans does Ms.Willer need? Explain

Answers

27 multiplied by 8 is 216 so she would need a total of 216 cans. If each of the 23 students brings nine cans (multiple 23 by 9) then she has a total of 207. The difference is 9... so she needs 9 more cans

Need help I’ll give brain

Answers

Answer:

-17y+16x

Step-by-step explanation:

-3(3y -2x) +2(5x-4y)

Distribute

-9y +6x +10x -8y

Combine like terms

-9y -8y+ 6x+10x

-17y+16x

Answer:

-17y+16x

Step-by-step explanation:

What is the mean of the normal distribution shown below? -1 0 1 2

Answers

Answer:

0.5

Step-by-step explanation:

-1 + 0 + 1 + 2 = 2

2/4 = 0.5

Answer:

well its not 1 cuz i got it wrong

Step-by-step explanation:

let me know in the comments

What is the vertex of the quadratic function f(x) = (x – 6)(x + 2)?

Answers

Answer:

The vertex is (2,-16)

Step-by-step explanation:

The given function is [tex]f(x)=(x-6)(x+2)[/tex]

We expand to obtain;

[tex]f(x)=x^2+2x-6x-12[/tex]

[tex]f(x)=x^2-4x-12[/tex]

We complete the squares to obtain;

[tex]f(x)=x^2-4x+(-2)^2-12-(-2)^2[/tex]

[tex]f(x)=x^2-4x+(-2)^2-12-4[/tex]

[tex]f(x)=(x-2)^2-16[/tex]

The vertex form is [tex]f(x)=(x-2)^2-16[/tex]

Comparing this to

[tex]f(x)=a(x-k)^2+k[/tex]

The vertex is (h,k)= (2,-16)

Final answer:

The vertex of the quadratic function f(x) = (x - 6)(x + 2) is found by expressing the function in vertex form. After completing the square, the vertex of the function is determined to be at the point (2, -16).

Explanation:

To find the vertex of the quadratic function f(x) = (x
– 6)(x + 2), we first need to express the function in vertex form, which is y = a(x - h)² + k, where (h, k) is the vertex of the parabola. Multiplying out the factors gives us f(x) = x² - 4x - 12. Completing the square allows us to transform this equation into vertex form.

First, Factor out the leading coefficient (which is 1 in this case, so this step is not needed), and then rewrite the function isolating the terms with x:

f(x) = x² - 4x + ____ - 12 + ____.

We complete the square by finding the value that makes x² - 4x + ____ a perfect square trinomial. This value is (-4/2)² = 4, so we add and subtract 4 inside the function:

f(x) = x² - 4x + 4 - 12 - 4.

Now we have f(x) = (x - 2)² - 16. Thus, the vertex form of the function is y = (x - 2)² - 16, and the vertex of the parabola is at the point (2, -16).

which equation in slope intercept form contains the point (4, -1) and has a slope of 3

Answers

Answer:

Final answer is [tex]y=3x-13[/tex].

Step-by-step explanation:

Given that slope of the line is m=3

Plug the given point (4,-1) and the slope m=3 into point sloep formula:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-(-1)=3\left(x-4\right)[/tex]

[tex]y+1=3\left(x-4\right)[/tex]

[tex]y+1=3x-12[/tex]

[tex]y=3x-12-1[/tex]

[tex]y=3x-13[/tex]

Which looks like slope intercept form of line y=mx+b

Hence final answer is [tex]y=3x-13[/tex].

Hello!

The answer is:

The equation in slope-intercept form is:

[tex]y=3x-13[/tex]

Why?

To solve the problem and find equation in slope-intercept form of the line, we need to use the following formula:

[tex]y=mx+b[/tex]

We are given the slope of the line, so, rewriting we have:

[tex]y=3x+b[/tex]

Then, to find "b" we need to substitute the given point into the equation, so, substituting we have:

[tex]y=mx+b[/tex]

[tex]-1=3*(4)+b[/tex]

[tex]-1=12+b[/tex]

[tex]b=-1-12=-13[/tex]

Therefore, writing the equation of the line, we have:

[tex]y=3x-13[/tex]

Have a nice day!

A deli has five types of meat, two types of cheese,
and three types of bread. How many different
sandwiches, consisting of one type of meat one
type of cheese, and one type of bread, does the deli
serve?
* A25
C) 30
B)--75
D) 10

Answers

Answer:

Step-by-step explanation:

A deli has 5 types of meat,2 types of cheese ,and 3 types of bread.different sandwiches, consisting of one type of meat, one type of cheese,and one type of bread ,does the deli serve = 5*2*3 = 30 different sandwiches

PLZ HURRY IT'S URGENT!!
The length of a rectangle is 13 feet. The width is 9 feet. What is the perimeter of the rectangle? A. 35 feet B. 13 feet C. 44 feet D. 22 feet

Answers

Answer: C) 44

======================================

Work Shown:

P = 2*(L+W)

P = 2*(13+9) ... plug in given length and width

P = 2*22

P = 44

Answer:

Step-by-step explanation:

A square has a perimeter of 36 units. One vertex of the square is located at (3, 5) on the coordinate grid. What could be the x- and y-coordinates of another vertex of the square?

Answers

Answer:

L=4a which means a = 36/4 = 9

The other vertices could be: (12, 5), (3, 14), (12, 14)

Step-by-step explanation:

Evaluate cos 90°. Round your answer to the nearest hundredth if necessary

Answers

Cos(90)= 0.00

It is only zero

The value of cosine  90°. or cos  90° is 0.

What are Trigonometric ratios?

Trigonometric ratios are the ratios of the length of sides of a triangle.

In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent.

We know that,

According to the trigonometric table the value of cos 90° is 0.

i.e.,  cos 90°.

This is because there is no horizontal component of the angle: The horizontal component of the angle is 0, so, the cosine of 90° is 0.

In other words,

the cosine of an angle tells the size of the adjacent side of a right triangle compared to the hypotenuse. Look at the unit circle to see why the adjacent side (the x axis) has a width of 0 when the angle between the initial arm and the terminal arm is a right angle.

Thus, value of cos 90 is 0.

Learn more about trigonometry here:

brainly.com/question/13724581

#SPJ2

y=6x+1 for x=5. what is the solution​

Answers

Answer: y=31

Step-by-step explanation

If x=5 and y=6x+1, you plug in 5 for x in the equation y=6x+1.

This would cause it to be y=6(5)+1.

Then you multiply 6*5, which equals 30. thatll turn into y=30+1

30+1=31, so y=31

Answer:

Y = 31

Step-by-step explanation:

Replace x with 5

Y = (6*5) + 1

Use PEMDAS

Parentheses

Exponent

Multiplication

Division

Subtraction

Addition

6 * 5 = 30

Y = 30 + 1

30 + 1 = 31

Y = 31

I hope I helped!

Let me know if you need anything else!

~ Zoe

13+(-29)=

I NEED HELP FAST!!!!!!

Answers

Answer:

-16

Step-by-step explanation:

13+(-29) = 13-29  = -16

Answer: -16

Step-by-step explanation:

Try Subtracting 13 from positive 29. This will help you out!

find the geometric mean between 7 and 12​

Answers

Answer:9.2

Step-by-step explanation:

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