Find the measure of the are or angle indicated. Assume that lines which appear tanget are tangents​

Find The Measure Of The Are Or Angle Indicated. Assume That Lines Which Appear Tanget Are Tangents

Answers

Answer 1

Given:

In a circle, two chords CE and DU intersect each other inside the circle at B.

Measure of arc CD = 185 degrees.

Measure of arc EU = 55 degrees.

To find:

The measure of angle CBD.

Solution:

Intersecting chords theorem: According to this theorem, if two chords intersect each other inside the circle then the measure of angle on the intersection is half of the sum of intercepted arcs.

Using Intersecting chords theorem, we get

[tex]m\angle CBD =\dfrac{1}{2}(arcCD+arcEU)[/tex]

[tex]m\angle CBD =\dfrac{1}{2}(185^\circ +55^\circ )[/tex]

[tex]m\angle CBD =\dfrac{1}{2}(240^\circ )[/tex]

[tex]m\angle CBD =120^\circ[/tex]

Therefore, the measure of angle CBD is 120 degrees.


Related Questions

a pair of sneakers in on sale as shown the sale price is $51. This is 75% of the original price. what was the original price of the shoes
pls help explanation required

Answers

Answer:

$68

Step-by-step explanation:

Let x = original price.

The sale price is 75% of the original price, so the sale price is 75% of x.

75% as a decimal is 75/100 = 0.75

75% of is the same as 0.75x

We are told the sale price is $51, so 0.75x must equal $51.

0.75x = 51

Divide both sides by 0.75 to find the value of x.

x = 51/0.75

x = 68

Answer: $68

Answer:

Step-by-step explanation:

$51 is 75% of 100%

75% = 3/4

51 / 3 = 17

17 = 1/4

51 + 17 = 68

$68 is the original price of the shoes

Evaluate a+4a+4a, plus, 4 when a=7a=7a, equals, 7

Answers

The evaluation of the expression a + 4 when a = 7 is 11

How to evaluate the expression

From the question, we have the following parameters that can be used in our computation:

Expression: a + 4

Value a = 7

Substitute the known values in the above equation, so, we have the following representation

a + 4 = 7 + 4

Evaluate the like terms in the equation

So, we have the following representation

a + 4 = 11

Using the above as a guide, we have the following:

The solution is 11

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I don't know help! image of the question is below

Answers

The value of x from the given triangle is 7√2 units.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

From the given triangle, one of the angle in right angle triangle is 45°, opposite side is 7 units and hypotenuse is x units.

We know that, sinθ =Opposite/Hypotenuse

sin45°=7/x

1/√2=7/x

x=7√2 units

Therefore, the value of x is 7√2 units.

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Mike is saving money for a new bike that costs $180.00
​​
​If represents the amount of money he has saved ​so far, which expression represents the amount of money,​in dollars, he still needs to save?
A
180+m180+m180+m
B
180−m180-m180−m
C
180×m180\times m180×m
D
180÷m180\div m180÷m

Answers

Answer: B

Step-by-step explanation:

B) 180−m180-m180−m

I need help on this hhhhhhhh​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{10^{15}}{10^4}}[/tex]

[tex]\mathsf{10^{15}}\\\mathsf{=10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times 10\times10\times10\times10\times10}\\\mathsf{= \boxed{\bf 1,000,000,000,000,000}}[/tex]

[tex]\mathsf{\dfrac{\bold{1,000,000,000,000,000}}{10^4}}[/tex]

[tex]\mathsf{10^4}\\\mathsf{= 10\times10\times10\times10}\\\mathsf{10\times10=\bf 100}\\\mathsf{100\times100}\\\mathsf{= \boxed{\bf 10,000}}[/tex]

[tex]\mathsf{\dfrac{1,000,000,000,000,000}{\bf 10,000}}[/tex]

[tex]\mathsf{\dfrac{1,000,000,000,000,000}{10,000}}\\\\\mathsf{= 1,000,000,000,000,000\div 10,000}\\\\\mathsf{= \boxed{\bf 100,000,000,000}}[/tex]

[tex]\mathsf{10^{11}}\\\mathsf{10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10}\\\mathsf{= \boxed{\bf 100,000,000,000}}[/tex]

[tex]\mathsf{100,000,000,000= 100,000,000,000= 10^{11}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: BASICALLY }\mathsf{\dfrac{10^1^5}{10^4}\large\text{ is EQUAL to or EQUIVALENT to}}}}\\\boxed{\boxed{\mathsf{10^{11}}\large\text{ because they both give you the result of \bf 100,000,000,000}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

4^n + 1 , Where n is a natural number , will

A) definitely be an odd no.

B) definitely be an even no.

C) definitely be a multiple of 5

D) be odd if n is odd and be even if n is even

Answers

Answer:

a) will definitely be an odd number

Step-by-step explanation:

4^n is always even (when you multiply even and even number, the product is always even)

when you add one to even number, the sum is always odd

so 4^n +1 is odd.

I need help on solving this

Answers

Answer:

Irrational

Step-by-step explanation:

it equals 6.7 which is not a perfect square

Issa jogged two-thirds of the way home from school. Then he was tired, so he walked the remaining 3{,}200\text{ m}3,200 m3, comma, 200, start text, space, m, end text. how many kilometers did issa travel from school to his house

Answers

The distance Issa travelled from school to his house is 9.6 km.

What is the distance travelled?

The actual length covered by the body is defined as distance travelled, whereas displacement is the straight path between the initial and final points.

Here,

Let the total distance between school and home be 'x' meters.

Issa jogged two-thirds of x = 2x/3

So the total distance between school and home is = 2x/3 + 3200

However, the total distance from school to home = x

= 2x/3 + 3200 = x

= 3200 = x/3

= 9600 = x

As a result, the total distance from school to home is 9600 meters.

We're now converting it to kilometers.

We know that 1000 meters equals one kilometer.

9600 meters = 1/1000 x 9600

= 9.6 kilometers

Therefore the distance travelled will be 9.6 km.

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In AUVW, u = 5.8 inches, ZW=77º and ZU=87º. Find the length of u, to the nearest
10th of an inch

Answers

Answer:

5.8 ?

Step-by-step explanation:

It says it's 5.8 right there, I think you might have a typo :)

find four consecutive odd integers such that 4 times the sum of the first and third is 4 larger than 4 times the fourth

Answers

The four consecutive odd integers = 15, 17, 19, 21

What are integers ?

Positive, negative, and zero are all examples of integers.

The Latin word "integer" signifies "whole" or "intact."

As a result, fractions and decimals are not included in integers.

All whole numbers and negative numbers are considered integers.

This means that if we combine negative numbers with whole numbers, a collection of integers results.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.

Here are a few instances of integers: -5, 0, 1, 5, 8, 97, and 3,043. a collection of numbers, denoted by the symbol Z.

According to our question-

First digit: x

Second digit: x + 2

Three-digit number Equals x + 4

Fourth digit: x + 6

The difference between the opposite of the third and the first two sums up to 55.

x + x + 6 = -(x + 4) + 55

x + x+6 = (-x - 4) + 55

2x + 6 = -x + 51

assemble similar terms

2x + x = 51 - 6

3x = 45

x = 15

Therefore,

First digit: x = 15

Second digit: 15 + 2 + x = 17

Third number: 15 + 4 + 4 = 19

Fourth digit: x+6 = 15+6 = 21

The four odd numbers in a row equal 15, 17, 19, and 21.

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Four more then the quotient of 12 and a number x

Answers

4+(12/x)

Use to convert the expression into a fraction

Expand the fraction to get the least common denominator

Use the commutative property to reorder the terms

Any expression multiplied by remains the same solution= 4x+12/x

A bookcase is 3 feet high and 3 feet wide. Two braces are going to be built to diagonally cross the back of the case. How long is the piece of wood that is needed to build each brace?

Answers

The length of each piece of wood needed to build each brace of the bookcase will be 4.24 feet.

Based on the dimensions, the shape of bookcase is square. So the diagonal of the bookcase will be calculated from the formula -

Diagonal = ✓side² + side²

Keep the values in formula to find the value of diagonal

Diagonal = ✓ 3² + 3²

Taking square on Right Hand Side of the equation

Diagonal = ✓9 + 9

Performing addition on Right Hand Side of the equation

Diagonal = ✓ 18

Finding square root on Right Hand Side of the equation

Diagonal = 4.24 feet

Thus, each diagonal will be 4.24 feet.

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10
y
is directly proportional to
x
2
.
If
y
=
8
when
x
=
2
find
x
when
y
=
50

Answers

Answer:

Y=50 , working shown below with process which works for any question of this type

Step-by-step explanation:

which shapes have 2 obtuse angles

Answers

Answer: Trapezoid

Step-by-step explanation:

Answer:

Step-by-step explanation:

Trapezoid square and the down right all the way

PLS HELP ASAP I DONT NNOW HOW TO DO THIS

Answers

Answer:

I think you do know how because where the point is now is correct!!

Farmer Bale puts 1492 eggs into boxes. Each box holds 6 eggs. How many boxes does he need? (solving my math homework -)

Answers

Answer:

249 boxes

Step-by-step explanation:

1492 ÷ 6 = 248.666

round up

249

249 boxes are needed:
1492 eggs/6 eggs per box=248.666666…boxes
Round up to 249 boxes

Mrs. Katz’s science class has spherical beakers that measure 14 centimeters in diameter. If Mrs. Katz wants to fill the sphere, what is the volume in cubic centimeters that she can fit into the beaker? round your answer to the nearest hundredth.

Answers

The volume of the spherical beaker is 1436.76 cubic centimeters

How to determine volume a spherical beaker?

In order to determine the volume the spherical beaker, you need the formula for the volume of a sphere.

The volume of sphere is given by the formula:

Volume of sphere = 4/3 πr³

where r is the radius of the sphere

Since the spherical beaker that measure 14 centimeters in diameter. The radius of the beaker will be:

radius = 14/2 = 7 cm

Volume of the spherical beaker =  4/3 × π × 7³

Volume of the spherical beaker = 1436.76 cubic centimeters

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(iv)The ratio of 5m to 150cm is ________.

Answers



Explanation- Convert 5 m to centimeters=500cm

= 500cm:150cm

Than you have to find any table that goes into them..... Answer-10:3

Hope this helps

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

a) 5.6

Step-by-step explanation:

sin 22° = x/15

0.3746 = x/15

x = 5.62

Write the phrase as an expression.
7 fewer than a number s
An expression is

Answers

Answer:

u just do a variable minus 7

s-7=

auggie bought 8 books. Some books cost $13 each and the rest of the books cost $24 each. They spent a total of $159. Write a system of linear equations that could represent the given situation

Answers

Answer: Let x be the number of $13 books that Auggie bought and y be the number of $24 books. Then we can represent the given information in the following system of linear equations:

x + y = 8 (the total number of books Auggie bought is 8)

13x + 24y = 159 (the total amount of money Auggie spent is $159)

This system of linear equations represents the given situation. We can use this system to find out how many books Auggie bought of each price by solving the system of equations.

The equation (1) represents the number of books that Auggie bought is 8, and equation (2) represents the amount of money he spent $159. This system of equations is a valid representation of the given situation because the values of x and y that satisfy the system of equations will be the number of $13 books and the number of $24 books that Auggie bought.

Step-by-step explanation:

The sum of two consecutive odd numbers is 20 and their difference is 2. Find the two numbers​

Answers

Answer:

9 and 11

Step-by-step explanation:

let the consecutive odd numbers be n and n + 2, then

n + n + 2 = 20

2n + 2 = 20 ( subtract 2 from both sides )

2n = 18 ( divide both sides by 2 )

n = 9 and n + 2 = 9 + 2 = 11

The 2 numbers are 9 and 11

Help me quickly! NO LINKS!!!!

Answers

Answer:

180 - 110 = 70

<DBC = 70

Answer: 70.............

Aiko bakes croissants for a community center bake sale. She already has a number
of batches baked from the day before. After 2.5 hours, Aiko has a total of 8 batches.
After 4 hours, she has a total of 11 batches. Determine the number of batches Aiko
baked per hour.

Answers

You’d be solving the equation 2.5/1 = 8/x. 8 divided by 2.5 equals 3.2. Therefore, Aiko baked 3.2 batches of cookies per hour

Answer:

Aiko baked 2 batches per hour.

---------------------------------

Find the difference in time and the difference in the number of batches.

The two numbers will help to find the rate of change in that time interval.

This is same as finding the slope of a line with points (2.5, 8) and (4, 11):

m = (11 - 8)/(4 - 2.5) = 3/1.5 = 2

Sherry can make 5 pies in 4 hours How many hours does it take sherry to make 16 pies?

Answers

Answer:

20 pies

4+4+4+4=16 hours

5+5+5+5= 20 pies

hope this helped

Step-by-step explanation:

Each week Sara's science teacher gives a 15-point quiz.
Her current scores are shown in the table.

What is Sara's mean quiz score?

Answers

Answer: Sara's mean quiz score is 12

Step-by-step explanation:

Mean is the Sum of the Terms divided by the number of terms.

If we add up every score we get 60, we then will divide this by how many scores there were (5).

60/5 = 12

The diameter of a circle is 3 miles what is the circumference?

Answers

Answer:

9.42

Step-by-step explanation:

Circumstance is 2*pi*r =2 *3.14*1.5

r=d/2=3/2=1.5

Answer:

Circumference= 2πr

raduis is half of the diameter so the radiuse is 1.5miles.

2 x 3.14 x 1.5= 9.42

The circumference is 9.42 miles.

3x-6y=9
x=2y+3

SOMEONE HELP ME SOLVE THIS STEP BY STEP TY

Answers

Answer:

0=0

infinitely many solutions

Step-by-step explanation:

plug x=2y+3 as x into 3x-6y=9...so

3(2y+3)-6y=9, which has our x=2y+3 plugged in because that is what x equals

if you solve its

6y+9-6y=9

0y=0

y=0

making it 0=0

you can't go further from this

Plot all of the points of the reflected figure.
You may click a plotted point to delete it.
y
-10 9 8 7 6 5
-4 3
-2
-1
10
9
8
7
6
сл
2

$
co
4
-5

19
N
3
4
5
6
7
8 9
10
-x

Answers

Just re dot the points like mirror it on where ever on the graph

How do you plot a reflection on a point?

Use the same x-coordinate and the y-opposite coordinate's to reflect a point on the x-axis. Use the same y-coordinate and the x-opposite coordinate's to reflect a point on the y-axis.

A point can be reflected in the x-axis, y-axis, or both axes.

Due to identical x-coordinates and opposing y-coordinates, the red spots on the x-axis are mirror reflections of one another. Thus, in opposing directions and 3 units away from the x-axis, are the red spots. A reflection in the x-axis is shown by the red spots.

Due to the identical y-coordinates and opposing x-coordinates, the blue spots on the y-axis are mirror reflections of one another. the blue points are thus

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Write a rule to describe each reflection.

Rule:r(?) (x,y)=(?)

Answers

Answer:

1. reflection across the x-axis (x, y) = (x, -y)

2. reflection across the y-axis (x, y) = (-x, y)

Hope this helps!

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