EB and DA are diameters of circle Y. What is the measure of arc EDC?

EB And DA Are Diameters Of Circle Y. What Is The Measure Of Arc EDC?

Answers

Answer 1

Answer:

Option (D). 110°

Step-by-step explanation:

Since EB and AD are diameter,

[tex]m(\widehat{ECB})[/tex] = [tex]m(\widehat{ACD})[/tex] = 180°

[tex]m(\widehat{ECB})=m(\widehat{EDC})+m(\widehat{BC})[/tex] = 180° -------(1)

And [tex]m(\widehat{ACD})=m(\widehat{AB})+m(\widehat{BCD})[/tex]

180° = 40° + [tex]m(\widehat{BCD})[/tex]

[tex]m(\widehat{BCD})[/tex] = 140°

Since, [tex]m(\widehat{BCD})=m(\widehat{BC})+m(\widehat{CD})[/tex]

[tex]2m(\widehat{BC})[/tex] = 140° [Given [tex]m(\widehat{BC})=m(\widehat{CD})[/tex]]

[tex]m(\widehat{BC})[/tex] = 70°

From equation (1),

[tex]m(\widehat{EDC}})[/tex] = 180° - [tex]m(\widehat{BC})[/tex]

[tex]m(\widehat{EDC}})[/tex] = 180°- 70°

Therefore, measure of arc(EDC) = 110°

Option (D) will be the answer.


Related Questions

Please help someone help me! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.

If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

I say it’s 0.0724 or 0.724

You are participating in a walk-a-thon. Donors can pledge a certain amount of money
for each mile that you walk, or a fixed amount that doesn't depend on how far you walk, or both
The table gives the amounts pledged by three donors.
a. Write an equation for each donor in the boxes below.
Donor
Amount
Fixed Amount
Per Mile
Equation
Jenna
None
$35
Camille
$5
None
Leila
$3
$15
b. You end up walking 18 miles.
Which donor donated the greatest amount of money and how much was it?

Answers

b because you end up actually walking 18 miles .

Can someone please help me.

Answers

Answer:

96

Step-by-step explanation:

Because math

The Answer to this is 96

The admission fee at a concert is $4.00 for children and $8.00 for adults. On the first day, 2350 people enter the concert and $12400 is collected. How many children attended?

Answers

Answer:

1,600

Step-by-step explanation:

C=4.00

A=8.00

C+A=2,350  

C=2,350-A

4C+8A=12,400

4(2,350-A)+8A=12,400

9,400-4A+8A=12,400

4A=12,400-9,400

  4A=3,000

A=3,000/4

A=750 ADULTS ATTENDED.

C+750=2,350

C=2,350-750

C=1,600 CHILDREN ATTENDED.

what is an inverse statement

Answers

Answer:

1 | noun | a message that is stated or declared; a communication (oral or written) setting forth particulars or facts etc

2 | noun | a fact or assertion offered as evidence that something is true

3 | noun | (music) the presentation of a musical theme

4 | noun | a nonverbal message

5 | noun | the act of affirming or asserting or stating something

6 | noun | (computer science) a line of code written as part of a computer program

7 | noun | a document showing credits and debits

(7 meanings)

write 3x^2/5 in radical form

Answers

Answer:

  [tex]3\sqrt[5]{x^2}[/tex]

Step-by-step explanation:

As written, no radical is implied. The expression can be rewritten as ...

  (3x^2)/5 = (3/5)x^2

_____

Perhaps you intend ...

  3x^(2/5)

The denominator of the exponent becomes the index of the radical:

  [tex]3x^{\frac{2}{5}}=\boxed{3\sqrt[5]{x^2}}[/tex]

Need help it’s URGENT!

Answers

Answer:

either b or c

Step-by-step explanation:

i think

What is the value of x?

Answers

Answer:

4

Step-by-step explanation:

LJK is a special right triangle with angle measures of 90° 60° 30°

If the side length of hypotenuse is 8√2 the side length that sees 30° would be half of it so it's 4√2

LMJ is a special right triangle with angles 90° 45° 45° and if the side length of hypotenuse is 4√2 the the value of equal sides would be 4

What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -2x + 7

Answers

Hey there! :)

Answer:

(2, 3) and (-2, 11).

Step-by-step explanation:

To solve this system of equations, we can set both equations equal to each other:

x² -2x + 3 = -2x + 7

Combine like terms:

x² -4 = 0

Factor using difference of squares:

(x - 2)(x + 2) = 0

Therefore, x = 2 and -2. Plug both of these into an equation to solve for the 'y' value:

f(x) = -2(2) + 7

f(x) = -4 + 7

f(x) = 3

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

f(x) = -2(-2) + 7

f(x) = 4 + 7

f(x) = 11

Therefore, the two ordered pairs are (2, 3) and (-2, 11).

At a clothing store, 15% of the dresses are blue. Which decimal is equivalent to 15%?

Answers

Answer:

0.15

Step-by-step explanation:

15% = 0.15

__________________________________

Solution,

15%

=15/100

=0.15

So, 0.15 decimal is equivalent to 15%

Hope this helps

Good luck on your assignment

_______________________________

Planes Q and R intersect. Lines d and c are vertical on plane R and form a right angle with line B on plane Q. Line B is horizontal on plane Q. Line a is slightly diagonal on plane Q.
In the diagram, the only figure that could be parallel to line c is

line a.
line b.
line d.
plane Q.

Answers

Answer:

C. line d

Step-by-step explanation:

Two parallel lines are lines that do not meet even with continuous extension of their length. While two lines are perpendicular when they form a right angle to each other at the point where they meet.

In the given question, the only figure that would be parallel to line c is line d. Line a is not parallel to line c (since it is slightly diagonal, it would intersect line c at a point) and line B is perpendicular to line c (since it is horizontal to plane Q), same as plane Q. So that lines c and d are parallel to each other.

Answer:

C. Line D

Step-by-step explanation:

Just took the test and got it right

what’s the answers ?

Answers

B and D

Step-by-step explanation:

I'm pretty sure its B because an acute angel measure less than 90°

1: make x the subject: 4(x+y) = z
2: make b the subject: ab + cd = e

Answers

Answer:

1.x=(z/4)-y

2.b=(e-cd)/a

Step-by-step explanation:

1.

z=4(x+y)

Divide both sides by 4

z/4=x+y

Subtract y from both sides

(z/4)-y=x

Answer

x=(z/4)-y

2.

ab+cd=e

subtract cd from both sides

ab=e-cd

divide both sides by a

b=(e-cd)/a

Answer

b=(e-cd)/a

Answer:

[tex]1) x = \frac{z}{4} - y[/tex]

[tex]2) b = \frac{e}{a} - \frac{cd}{a}[/tex]

Explanation:

(1) Making x the subject: [tex]4(x + y) = z[/tex]

To make x the subject of original expression, we send the x to the left side of expression and all of the other components to the right side of expression.

The detail procedure is described as following:

    [tex]4(x + y) = z[/tex]

Apply associate property:

<=> [tex]4x + 4y = z[/tex]

Send 4y to the right side (the sign of 4y must be changed from positive to negative):

<=> [tex]4x = z - 4y[/tex]

Divide both sides by 4:

<=> [tex]x = \frac{z}{4} - y[/tex]

(2) Make b the subject: [tex]ab + cd = e[/tex],  applying the similar procedure in part (1):

      [tex]ab + cd = e[/tex]

Send [tex]cd[/tex] to the right side (the sign of

<=> [tex]ab = e - cd[/tex]

Divide both sides by [tex]a[/tex]:

<=> [tex]b = \frac{e}{a} - \frac{cd}{a}[/tex]

Hope this helps!

:)

Sweets are sold loose, or pre-packed in 120g bags. The 120g bags are £1 49 each The loose sweets are £0.89 for 100g By calculating the price per gram, determine which is better value. Show your working

Answers

To find the better deal divide the price by the weight of each and compare:

1.49 / 120 = 0.012 per gram

0.89/ 100 = 0.0089 per gram

Buying loose is the better deal because the price per gram is smaller


IF (-6, 4) is the endpoint of a line segment, and (-2, -1) is its midpoint, find the other endpoint.
A) (2,-6)
B) (-14, 14)
9 (-16, 12)
D) (2,9)

Answers

A midpoint has coordinates of [tex](-2, -1)[/tex] we will call them [tex](x_m, y_m)[/tex].

The coordinates of a midpoint are constructed from coordinates of enpoints [tex](x_1,y_1),(x_2,y_2)[/tex], namely as a divided sum.

[tex]

x_m=\frac{x_1+x_2}{2}\implies x_1=2x_m-x_2 \\

y_m=\frac{y_1+y_2}{2}\implies y_1=2y_m-y_2

[/tex]

Now insert the numbers.

[tex]

x_1=2(-2)-(-6)=2 \\

y_1=2(-1)-4=-6

[/tex]

The result is an endpoint at [tex](2,-6)[/tex].

Your new computer costs $2500 but it depreciates in value by about 14% per year

Answers

Answer:

Step-by-step explanation:

The computer's initial cost is 2500. It decreases by 14% every year. That means the price is multiplied by (100-14)/100=86/100 every year, for x years.

The equation is 2500*(86/100)^3. After three years, it is 2150.

EASY question for y’all mathy people, easy points! Question in photo.

Answers

Answer:

C - 13

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

No need

Which graph represents an odd function? There are 6 points ona coordinate plane. The points ]are (negative 5, 3), (negative 3, 1), (negative 1, 1), (1, 3), (3, negative 5), (5, negative 1). There are 8 points on a coordinate plane. The points are (negative 4, 2), (negative 3, negative 1), (negative 1, negative 3), (0, 1), (1, 0), (2, negative 4), (4, 5), (5, 4). There are 8 points on a coordinate plane. The points are (negative 4, 0), (negative 3, 1), (negative 2, negative 3), (negative 1, negative 2), (1, 2), (2, 3), (3, negative 1), (4, 0) There are 11 points on a coordinate plane. The points are (negative 4, 3), (negative 4, 4), (negative 3, 5), (negative 2, 1), (negative 1, negative 1), (0, negative 3), (1, negative 1), (2, 1), (3, 5), (4, 3), (4, 4).

Answers

Answer:

Option C.

Step-by-step explanation:

Let as consider f(x) is a function.

If [tex]f(-x)=f(x)[/tex], then f(x) is even function.

If [tex]f(-x)=-f(x)[/tex], then f(x) is odd function.

It means, if (x,y) is a point of the function, then (-x,-y)is also a point of the function.

In option A, (-5,3) is a point of the function, but (5,-3) is not a point of the function.

So, function in option A is not an odd function.

In option B, (-4,2) is a point of the function, but (4,-2) is not a point of the function.

So, function in option B is not an odd function.

In option C,

If (-4,0) is a point of function, then (4,0) is also the point of the function.

Similarly, (-3,1) and (3,-1), (-2,-3) and (2,3), (-1,-2) and (1,2) are points of the function.

So, function in option C is an odd function.

In option D, (-4,3) is a point of the function, but (4,-3) is not a point of the function.

So, function in option D is not an odd function.

Answer:

C

Step-by-step explanation:

on EDGE 2023

If the point (9, 5) is translated 6 units left and 5 units up, then find the
translated coordinates of the point.​

Answers

Answer:

I think it might be (-3,10). I am not a 100% sure.

Step-by-step explanation:

(Number 8)!!!!!!!!!!!!!!!!

Answers

Answer:

B=29

Step-by-step explanation:

you have on the right hand side [tex](7x^{3} y^{3/4}) ^{2}[/tex] which is equal to [tex]49x^{6}yx^{3/2}[/tex] so B=49

There is more than one integer, greater than 1 , which leaves a remainder of 1 when divided by each of the four smallest primes. What is the difference between the two smallest such integers?

Answers

Answer:

210.

Step-by-step explanation:

The first 4 primes are 2,3,5 and 7.

If we multiply them we get 2*3*5*7 = 210.

So 210 + 1 = 211 is one integer which gives 1 as a remainder.

The next one would be  2*210 + 1 = 421.

The difference is 210.

B is two fifths of c 4a = 3c work out the ratio a:b:c give your answer in its simplest form where a, b and c are integers

Answers

Answer:

a : b : c = 12 : 10 : 15

Step-by-step explanation:

Given that: b = [tex]\frac{2}{5}[/tex] of c

 i.e             b = [tex]\frac{2c}{5}[/tex] ............... 1

          2c = 5b

So that;

          c = [tex]\frac{5b}{2}[/tex] .................... 2

Also,    

          4a = 3c

           a = [tex]\frac{3c}{4}[/tex] ................ 3

⇒          a = [tex]\frac{3}{4}[/tex] × ([tex]\frac{5b}{2}[/tex])

             a = [tex]\frac{15b}{8}[/tex] ................. 4

           15b = 8a

           b = [tex]\frac{8a}{15}[/tex] ................. 5

Comparing the derived equations:

From equations 2 and 3,

a:c = [tex]\frac{15b}{8}[/tex]: [tex]\frac{5b}{2}[/tex] = 4:5

From equations 1 and 2,

b:c = [tex]\frac{2c}{5}[/tex] : [tex]\frac{5b}{2}[/tex] = 2:3

But a common value of b = 15, gives;

a : c = 12 : 15 and b : c = 10 : 15  

Thus, a : b : c = 12 : 10 : 15

The ratio a:b:c in its simplest form is 15:8:20

Ratios and Proportions

Given the following parameters

b = 2/5 c4a = 3ca = 3/4c

To get the ratio of a:b:c, we will substitute the value of a and b into the ratio to have:

a:b:c = 3/4c : 2/5c :c

Multiply through by 20 to have:

a:b:c = 3/4c * 20 : 2/5c * 20: 20c

a:b:c = 15c:8c:20c

a:b:c = 15:8:20

Hence the ratio a:b:c in its simplest form is 15:8:20

Learn more on ratio here: https://brainly.com/question/2914376

Billy invests £800 for 5 years in savings account By the end of the years he has received a total of £96 simple interest Work out the annual rate of simple interest

Answers

Answer: 2.4%

Step-by-step explanation:

SI = prt / 100

96 = ( 800 x r x 5) / 100

96 = 40r

r = 96 / 40 = 2.4%

What is the square root of -1

Answers

Answer:

i

Step-by-step explanation:

[tex]\sqrt{-1}[/tex] is the same thing as i, which is an imaginary number.

Since you can't take the square root of negative numbers, we use i to do it.

A fair dice is rolled.
Work out the probability of getting a factor of 8.
Give your answer in its simplest form.

Answers

Answer:

1/2

Step-by-step explanation:

The factors of 8 are 1,2,4

So there are three factors of 8 on the dice

There are a total of 6 numbers on the dice

So the probability is ,3/6

Which in its simplest form is 1/2

what is 18% of 39 equals what

Answers

Answer:

7.02

Step-by-step explanation:

[tex]\frac{18}{100}[/tex] x 39 = 7.02

First write 18% as a decimal by moving the

decimal point two places to the left to get .18.

Next, the word "of" tells us we need to multiply.

So we multiply (.18)(39) to get 7.02.

So 7.02 is 18% of 39.

How much is $100 U.S. dollars in Canadian dollars?

Answers

Answer:

133.98

Step-by-step explanation:

133.98

Step by Step Explanation:

True or false all integers are rational

Answers

Answer:

The answer is True

Step-by-step explanation:

All rational numbers are integers

Please help! Correct answer only!

There is a raffle for a $380 prize. Out of 100 tickets, one ticket will win the prize, and the other tickets will win nothing. If you have a ticket, what is the expected payoff?

Answers

Answer:

$3.80

Step-by-step explanation:

380/100= an expected payoff of 3.8 dollars. Hope this helps!

Which of the following is a solution of y > Ixl - 6?
O (5, -1)
O (-1,-5)
O (-5, 1)

Answers

Answer:

i think its the first option

Step-by-step explanation:

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