Given: Measure of arc AB = measure of arc BC,
Measure of angle x = 60°, measure of angle y = 15°
Find: Measure of arc AC

Given: Measure Of Arc AB = Measure Of Arc BC,Measure Of Angle X = 60, Measure Of Angle Y = 15Find: Measure

Answers

Answer 1

9514 1404 393

Answer:

  100°

Step-by-step explanation:

The relevant relation for angle x is ...

  x = (AB +DE)/2

and for angle y, it is ...

  y =(AC -DE)/2

Using the second relation to write an expression for DE, we have ...

  DE = AC -2y

In the first equation, this lets us write ...

  x = (AB +(AC -2y))/2 = (AB +(2AB -2y))/2

  2x = 3AB-2y . . . . . . . . . . . . . . multiply by 2

  (2x +2y)/3 = AB = AC/2 . . . . . add 2y; divide by 3

  AC = (4/3)(x +y) = (4/3)(60° +15°) . . . . multiply by 2, substitute known values

  AC = 100°


Related Questions

Triangle A B C is a right triangle. Find the missing side length.
a = 12, b = ? , c = 15


Please answer becuase I’m having a really hard time lol Thanks!

Answers

Answer:

9

Step-by-step explanation:

a² + b² = c^2

12^2 + b^2 = 15^2

144 + b^ = 225

225 - 144= 81

b^2 = 81

square root both sides

b = 9

I’m in summer school can y’all plz help me

Answers

Answer:  Choice A.   [tex]-x^2+2x+8[/tex]

Work Shown:

[tex](f - g)(x) = f(x) - g(x)\\\\(f - g)(x) = (2x+1) - (x^2-7)\\\\(f - g)(x) = 2x+1 - x^2+7\\\\(f - g)(x) = -x^2+2x+(1+7)\\\\(f - g)(x) = -x^2+2x+8\\\\[/tex]

which shows the answer is choice A.

Side note: be sure to distribute the negative to every term inside the second set of parenthesis. So you wouldn't say -(x^2-7) = -x^2-7. If you did this error, then you'd get to the wrong answer choice C.

Answer:

hope it helps u plz mark me brainliest mate

Step-by-step explanation:

(f-g)(x)=2x+1-(x^2-7)

(f-g)(x)=2x+1-x^2+7

(f-g)(x)= -x^2+2x+8

this is the correct answer

Anyone good with calculus? Please help.

Answers

First take a time derivative of a function describing motion,

[tex]\frac{d}{dt}h(t)=\frac{d}{dt}-4.9t^2+19.6t-14.6=-9.8t+19.6[/tex].

Finding the maxima of the function is obtained by determining where the critical points are. You can find the critical points by equating the derivative with 0 and solving for t,

[tex]\frac{d}{dt}h(t)=0[/tex]

[tex]-9.8t+19.6=0\implies t=\frac{19.6}{9.8}=\boxed{2}[/tex].

So at 2 seconds the ball peaks in height.

To find out the height feed 2 to the function h.

[tex]h(2)=-4.9\cdot2^2+19.6\cdot2-14.6=\boxed{5}[/tex].

So at 2 seconds the ball reaches maximum height of 5 meters.

Hope this helps :)

The functions f and g are defined as follows.
f(x) =-2x+4
g(x) = 3x° +5
Find f(7) and g(-2).
Simplify your answers as much as possible.

Answers

Step-by-step explanation:

Substitute x=7in function f

Substitute x= - 2 in function g

f(7)= - 2(7)+4

= -10

g(-2)= 3(-3)+5

= - 4

Brainliest please~

What is the length of Line segment A C? Round to the nearest tenth.

Triangle A B C is shown. Angle A C B is 90 degrees and angle B A C is 55 degrees. The length of C B is 15 meters.

10.5 m
12.3 m
18.3 m
21.4 m

Answers

Answer:

10.5

Step-by-step explanation:

In the picture if you think about it, it has to be a number less than 15 since CB is 15. I picked 12.3 and got it wrong therefore it has to be 10.5.

Answer:

A) 10.5

Step-by-step explanation:

Find the volume of the figure. Round to the nearest tenth if necessary.

Answers

Answer:

Volume = 204 m³

Step-by-step explanation:

The figure is a triangular prism

Volume of the triangular prism = ½ × a × c × h

Where,

a = 8 m

c = 5.1 m

h = 10 m

Plug in the known values and solve

Volume = ½ × 8 × 5.1 × 10

Volume = 4 × 5.1 × 10

Volume = 204 m³

How many pounds are in 2 tons, 800 pounds

Answers

Answer:

4,00 pounds

Step-by-step explanation:

Answer:

4,800 pounds

Step-by-step explanation:

2 tons = 4,000 pounds

800 pounds

4,000 + 800 =

4,800 pounds

answer this quikly 24 = -3 + 3n

Answers

Answer:

n = 9

Step-by-step explanation:

24 = -3 + 3n

24 + 3 = 3n

27 = 3n

9 = n

Answer: n = 9

Step-by-step explanation:

24 = -3+ 3n  - so + 3 on both sides - you get

27 = 3n - then divide both sides by 3 - which is

9 = n

n = 9

Please help me solve this

Answers

Answer:

Step-by-step explanation:

9

please help me out! i absoluten don’t get this :(

Answers

Answer:

Option B

Step-by-step explanation:

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (-5, -2) and (3, -1) will be,

m = [tex]\frac{-1+2}{3+5}[/tex]

m = [tex]\frac{1}{8}[/tex]

Equation of the line passing through (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of the line passing through (3, -1) and slope = [tex]\frac{1}{8}[/tex] will be,

[tex]y+1=\frac{1}{8}(x-3)[/tex]

[tex]y=\frac{1}{8}x-\frac{3}{8}-1[/tex]

[tex]y=\frac{1}{8}x-\frac{11}{8}[/tex]

Option B will be the answer.

I’m having trouble finding the answers to this problem

Answers

Step-by-step explanation:

Solve by Subsitution

[tex]x = 50 - y[/tex]

Replace this into the second equation

[tex]y(50 - y) = 300[/tex]

[tex]50y - {y}^{2} = 300[/tex]

Write in standard form

[tex] - {y}^{2} + 50y = 300[/tex]

Use the quadratic formula, and our answer will be

(6.97,43.02)

(43.02,6.97)

. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased black sweaters. If you select a customer at random, what is the probability that they purchased a green or a gray sweater

Answers

Answer:

The probability that they purchased a green or a gray sweater is [tex]\frac{12}{31}[/tex]

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being:

P(A)= the probability that they purchased a green sweaterP(B)= the probability that they purchased a gray sweaterMutually exclusive events

You know:

8 purchased green sweaters4 purchased gray sweatersnumber of possible cases= 12 + 8 + 4+ 7= 21

So:

[tex]P(A)=\frac{8}{31}[/tex][tex]P(B)=\frac{4}{31}[/tex]P(A⋂B) = 0

Then:

P(A∪B)= P(A) + P(B)

P(A∪B)= [tex]\frac{8}{31}+ \frac{4}{31}[/tex]

P(A∪B)= [tex]\frac{12}{31}[/tex]

The probability that they purchased a green or a gray sweater is [tex]\frac{12}{31}[/tex]

A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 49 feet less than the height of the pole. If the wire is to be 14 feet longer than the height of the pole, what is the height of the pole?

Answers

9514 1404 393

Answer:

  105 ft

Step-by-step explanation:

Let x represent the height of the pole. Then (x -49) is the distance from the pole to the anchor point, and (x+14) is the length of the wire from the top of the pole to the anchor point.

The Pythagorean theorem gives us the relation ...

  (x +14)² = x² +(x -49)²

  x² +28x +196 = x² +x² -98x +2401 . . . . eliminate parentheses

  x² -126x +2205 = 0 . . . . . . . . put in standard form

  x² -126x +3969 -1764 = 0 . . . . "complete the square)

  (x -63) = ±√1764 . . . . . . add 1764, take the square root

  x = 63 +42 = 105 . . . . . . highest value root. The pole must be higher than 49 feet

The height of the pole is 105 feet.

25% of £90
Work it out

Answers

Answer:

22.5

Step-by-step explanation:

 percent is any number over 100, so 25% is 25 over 100, this means that 25% can be written as:

25100

Now, any number in fractional form (a number over a number) is the same as division so 25% can also be written as a decimal, we just move the decimal point 2 places to the right of 25, like this:

25100=0.25

Now we have two ways that we can solve this problem! I'll start with the fractional method of solving.

here bro this should be it

i will give brainliest!

Given a rhombus has a side length of 15 and one diagonal has a length of 2x. Find the length of the second diagonal in terms of x. Show all work and leave your answer in radical form.

Answers

9514 1404 393

Answer:

  2√(225 -x²)

Step-by-step explanation:

Let 2y be the length of the second diagonal. The half-diagonals and the side of the rhombus form a right triangle. The Pythagorean theorem tells us the relationship between sides and hypotenuse is ...

  x² +y² = 15²

  y² = 225 -x²

  2y = 2√(225 -x²2) . . . . the length of the second diagonal

Eileen is reading a novel for her library’s summer reading program. Which question can Eileen ask herself to best form a personal connection with the text?

A. What symbolism does this novel share with other novels I have read?
B. How do the facts in the text add to what I already know about my research topic?
C. What connections can I build between the themes in this text and other modern stories?
D. How do the struggles of the characters compare with challenges I have faced in my own life?

Answers

Answer:

Step-by-step explanation:

To begin with the answer. This is very personal, but I would choose D. I think you have to relate things to what you know. How do other people live through the same problem? Does the author believe that the best path has been chosen, or does he/she believe that the central character is doomed to failure? And how do these comments relate to me. You are going to get the most out of any novel when you can relate to the central character or any of the characters for that matter.

I'm not concerned with C. You can read trash and what they say is likely consistent but that only means that trash is pandering to a clientele that does not want to think much. Whatever spin you put on C, agreement is not a terrific thing. It does not make you think.

I suppose B is important if you are reading non fiction. I'm not answering it that way.

A: not the answer. This is a very remote connection. Most of the time symbolism is not the main attraction of any novel nor especially of any non fiction writing.  Moby D*ick is not a great novel because of its symbolism of which there is a huge amount. It is a great novel because the conflict is between man and nature and although that is symbolic, it is not as important as the character study of Ahab (who is himself a symbol). Nor or Ishmael for that matter. I will admit you have to have a Bible in one hand and Moby Di*ck in the other, but it is not critical. The theme is.

Help with this please!

Answers

Answer:

A

Step-by-step explanation:

The correct answer is A

A precise statement of the qualities of an idea, object, or process is called a
O A. theorem
O B. proof
C. definition
D. common notion

Answers

Answer:

C. definition

Step-by-step explanation:

A precise statement of the qualities of an idea, object, or process is called a definition. Hence, option (C) is answer.

the answer is “C” ( a definition )

Help me determine Rise/run

Answers

Answer:

The dots shown on the graph have a rise of 6 and a run of 4 (so 6/4)

This fraction can be reduced so your answer is 3/2

The length of a ladder leaning against a building is 60 feet. The ladder hits the building at the top of the building. The distance to the building from where the ladder touches the ground is 15 feet. What is the height of the building to the nearest foot?
A. 38ft
B. 48ft
C. 58ft
D. 68ft

Answers

Answer:

C. 58ft

Step-by-step explanation:

An imaginary triangle is described here. The hypotenuse is 60, and one of the other sides is 15.

60*60=3600

15*15=225

3600-225=3375

sqrt3375=58.09

round that to get 58ft

Find the intersection of the line and the circle given below
2x+y=-5
x^2+y^2=10

Answers

Answer:

There are two intersections.

(-3,1) and (-1,-3)

Step-by-step explanation:

Answer:

They intersect at (-3,1), and also (-1,-3)

Step-by-step explanation:

Graph:

when it is transformed to
What is the effect on the graph of f (2)
g(x) = 1 +112
A. The graph of f(x) is shifted 11 units to the left.
B. The graph of f(x) is shifted 11 units to the right.
C. The graph of f(x) is shifted 11 units up.
D. The graph of f(x) is shifted 11 units down.

Answers

Answer:

C. The graph of f(x) is shifted 11 units up.

Step-by-step explanation:

Given

[tex]g(x) = f(x) + 11[/tex]

Required

Interpret g(x)

When a function is shifted up in b units, the rule is:

[tex](x,y) \to (x,y+b)[/tex]

Replace b with 11

[tex](x,y) \to (x,y+11)[/tex]

Replace y with f(x)

[tex](x,f(x)) \to (x,f(x)+11)[/tex]

So, we have:

[tex]g(x) = f(x) + 11[/tex]

Hence; f(x) is shifted 11 units up.

Find a solution to the initial value problem,
y″+12x=0, y(0)=2,y′(0)=−1.

Answers

Answer:

y = -2*x^3 - x + 2

Step-by-step explanation:

We want to solve the differential equation:

y'' + 12*x = 0

such that:

y(0) = 2

y'(0) = -1

We can rewrite our equation to:

y'' = -12x

if we integrate at both sides, we get:

[tex]\int {y''} \, dx = y'= \int {-12x} \, dx[/tex]

Solving that integral we can find the value of y', so we will get:

y' = -12* (1/2)*x^2 + C = -6*x^2 + C

where C is the constant of integration.

Evaluating y' in x = 0 we get:

y'(0) = -6*0^2 + C = C

and for the initial value problem, we know that:

y'(0) = -1

then:

y'(0) = -1 = C

C = -1

So we have the equation:

y' = -6*x^2 - 1

Now we can integrate again, to get:

y = -6*(1/3)*x^3 - 1*x + K

y =  -2*x^3 - x + K

Where K is the constant of integration.

Evaluating or function in x = 0 we get:

y(0) = -2*0^3 - 0 + K

y(0) = K

And by the initial value, we know that: y(0) = 2

Then:

y(0) = 2 = K

K = 2

The function is:

y = -2*x^3 - x + 2

This is the question I am stuck on

Answers

Answer:

a^ 8 / b^12

Step-by-step explanation:

We know that x^y / x^z = x^ (y-z)

a^-5 b^-4

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

a^ -13 b^8

a^ (-5 - -13) b ^ (-4 -8)

a^ (-5+13) b^ (-4-8)

a^ 8 b^ (-12)

We know that x ^ - y = 1/ x^y

a^ 8 / b^12

Expand the following: 4(a + 3b - 5c).
Please help, I'm really struggling with expanding equations

Answers

Answer:

4a+12b-20c

Step-by-step explanation:

Use the distributive property, multiply the number on the outside to everythign on the inside.

4*a=4a

4*3b=12b

-5c*4=-20c

Answer;

Explanation:

4(a + 3b - 5c)
= (4 x a) + (4 x 3b) - (4 x 5c)
= 4a + 12b - 20c

A canoeist traveling with the current traveled the 24 miles between two riverside campsites in 2 hours. The return trip against the current took 3 hours. Find the speed of the canoeist in still water and the speed of the current, both in miles per hour.

Answers

Answer:

Speed of canoiest is 10 miles/hour.

Speed of current is 2 miles/hour.

Step-by-step explanation:

Let the speed of canoiest is v and the speed of current is u.

distance = speed x time

24 = (v + u ) x 2

v + u = 12 ..... (1)

Now

24 = (v- u) x 3

v - u = 8 .... (2)

By solving (1) and (2)

2 v = 20

v = 10 miles/hour

u = 2 miles/hour

Given the function f(x) = 7x^2 − 2x + 5. Calculate the following values:

Answers

F(3)=16 i saw this problem before so it should be the answer in the end

We have that the Fuction's result for the given values are

f(-2) =37f(-1) =14f(0) =5 f(1) =10f(2) =29

From the Question we are told that

Function

[tex]f(x) = 7x^2 -2x + 5.[/tex]

Generally

For -2

[tex]f(-2) = 7(-2)^2 − 2(-2) + 5.[/tex]

f(-2) =37

For -1

[tex]f(-1) = 7(-1)^2 − 2(-1) + 5.[/tex]

f(-1) =14

For 0

[tex]f(0) = 7(0)^2 − 2(0) + 5.[/tex]

f(0) =5

For 0

[tex]f(1) = 7(1)^2 − 2(1) + 5.[/tex]

f(1) =10

For 2

[tex]f(2) = 7(2)^2 − 2(2) + 5.[/tex]

f(2) =29

For more information on this visit

https://brainly.com/question/18301109?referrer=searchResults

Which expression is equivalent to this polynomial? 9x^2 + 4


A. (3x+2i)(3x-2i)

B. (3x+2)(3x-2)

C. (3x+2i)^2

D. (3x+2)^2

Answers

The answer is A (3x+2i)(3x-2i)

Can someone help please

Answers

9514 1404 393

Answer:

  (b)  f(x) = (-x)^(1/2)

Step-by-step explanation:

The square root is only defined for argument values that are non-negative. Hence the domain of ...

  f(x) = (-x)^(1/2)

is all values of x less than or equal to zero. This is not "all values of x."

Which statements about the relationship between the two triangles below are true? Check all that apply,

Answers

Answer:

I don't know, because i really don't know

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