O is the centre of the circle. AB is a diameter.
Calculate the values of a and b. Please help i cant understand it, i’ll give the brainliest for the person who answers correctly

O Is The Centre Of The Circle. AB Is A Diameter.Calculate The Values Of A And B. Please Help I Cant Understand

Answers

Answer 1

Answer:

The value of a is 63° and the value of b is 27°

Step-by-step explanation:

In the given figure

∵ OA, OB, and OC are radii of the circle O

→ The radii of a circle are equal

OA = OB = OC

In Δ AOC

∵ OA = OC

Δ AOC is an isosceles triangle

→ Base angles of the isosceles triangle are equal

∵ ∠OAC and ∠OCA are the base angles of the triangle

m∠OAC = m∠OCA

∵ m∠OAC = a°

m∠OCA = a°

→ The sum of angles in any triangle is 180°

∵ a° + a° + m∠AOC = 180°

∵ m∠AOC = 54°

a° + a° + 54 = 180°

→ Add the like terms

∴ 2a° + 54 = 180°

→ Subtract 54 from both sides

∴ 2a° = 126°

→ Divide both sides by 2

∵ m∠OAC = m∠OCA = 126 ÷ 2

a° = 63

The value of a is 63°

In ΔBOC

∵ OB = OC

Δ BOC is an isosceles triangle

→ Base angles of the isosceles triangle are equal

∵ ∠OBC and ∠OCB are the base angles of the triangle

m∠OBC = m∠OCB

∵ m∠OBC = b°

m∠OCB = b°

∵ ∠AOC is an exterior angle of ΔBOC at the vertex O

→ The measure of the exterior angle equals the sum of the measure

    of the opposite interior angles to this vertex

∵ ∠OBC and ∠OCB are the opposite interior angle of ∠AOC

m∠OBC + m∠OCB = m∠AOC

→ Substitute their measures

b° + b° = 54°

→ Add the like terms

∴ 2b° = 54

→ Divide both sides by 2

b° = 27

The value of b is 27°


Related Questions

find f(-10) f(x)=7x-5​

Answers

Answer:

f(-10) = -75

Step-by-step explanation:

F(x) is simply another way of saying y. We are given the x value of -10. We can substitute this in for x and find y.

f(-10) = 7(-10) - 5

f(-10) = -70 - 5

f(-10) = -75

Answer:

Rewrite the equation in term of  

x

and  

y

.

f

(

x

)

=

2

x

2

7

x

+

5

Rewrite the equation in vertex form.

Tap for fewer steps...

Complete the square for  

2

x

2

7

x

+

5

.

Tap for more steps...

2

(

x

7

4

)

2

9

8

Set  

y

equal to the new right side.

y

=

2

(

x

7

4

)

2

9

8

Use the vertex form,  

y

=

a

(

x

h

)

2

+

k

, to determine the values of  

a

,  

h

, and  

k

.

a

=

2

h

=

7

4

k

=

9

8

Find the vertex  

(

h

,

k

)

.

(

7

4

,

9

8

)

Step-by-step explanation:

A graduated cylinder is filled with 20ml of water. Then, an 8g marble is dropped into the cylinder, causing the volume to change to 24ml. What is the density of the marble?

Answers

Answer:

The density of the marble is 2,000 kg/m³

Step-by-step explanation:

The given parameters for finding the density of the marble are;

The volume of water in the graduated cylinder, v₁ = 20 ml

The mass of the marble dropped into the graduated cylinder, m = 8 g

The new volume of the cylinder after the 8 g marble is dropped into the cylinder, v₂ = 24 ml

Therefore, the volume of the marble, v = v₂ - v₁

Substituting the known values gives;

The volume of the marble, v = 24 ml - 20 ml = 4 ml

Density, ρ = Mass, m/(Volume, v), the units of density is kg/m³

Therefore, the density of the marble, [tex]\rho _{marble}[/tex], is given as follows;

[tex]\rho _{marble}[/tex] = m/v = (8 g)/(4 ml) = 2 g/ml

1 g/ml = 1 kg/l = 1,000 kg/m³

∴ [tex]\rho _{marble}[/tex] = 2 kg/l = 2,000 kg/m³.


Copy the expressions which are polynomials. Give reasons why the remaining are
not polynomials.
a)3x-2
b)p^2+1/p
c3y^2-2y/3+1

Answers

Answer: a and c are polynomials, b is not.

Step-by-step explanation:

A polynomial p(x) is written as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰

where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.

Notice that the powers need to be always natural numbers.

Now, let's analyze the options:

a) 3*x - 2

We can rewrite this as:

3*x¹ - 2*x⁰

Then this is a polynomial.

b) p² + 1/p    (in this case the variable is p)

the second term can be written as:

1/p = p⁻¹

Then we have a term with a negative power of p, this means that this is not a polynomial.

c) 3*y² - 2*y/3 + 1

Same as in the first case, we can rewrite this as:

3*y² - (2/3)*y¹ + 1*y⁰

This is a polynomial.

Rico and nita solved the answer the same problem.Rico got 6/8 for an answer, and nita got 3/4.Which answer is corrext. Use the term equivalent fraction in your explanation

Answers

Answer:

Both are correct

Step-by-step explanation:

Rico got 6/8

Nita got 3/4

Equivalent fraction

2/2 x Nita point

2/2 x 3/4

6 / 8

So,

Nita point = Rico point

6/8 = 6/8

Answer:

Both are corre

Step-by-step explanation:

Jan 15, 8:40:40 AM
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-6x + 5y = 7
30x – 25y = -35
One Solution
Infinitely Many Solutions
Submit Answer
O No Solutions

Answers

ANSWER: infinite
EXPLANATION: if you graph them then you’ll see they fully overlap so there will be infinite solutions

Which price is equivalent to $1.50 for 1 pound of apples?


A.. 6 pounds of apples for $9


B..8.5 pounds of apples for $9


C..9 pounds of apples for $9


D..13.5 pounds of apples for $9

Answers

A. 6 pounds of apples for $9
9/6=1.5=$1.50 per pound

Which answer choice describes y = -3x2 +7x - 2 accurately?

Answers

Answer:y =  y = -7x

Step-by-step explanation: y - 14 = -7(x - (-2))

y - 14 = -7x - 14

Please help!! 20 points!!! I don’t know if is d....

Answers

Yes it is D. I hope this helps

find the value of the expression below x=2 3x​

Answers

x=2
So that would mean
3(2)=6
Hope this helps have a good day! :)

Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)

Answers

Answer:

Given that you're providing only a single term, asking for a difference doesn't make a lot of sense.  I assume you're asking to have the expression simplified?

If so, then it can be reduced to (x - 17) / 3x

Step-by-step explanation:

You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator.  Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.

After that you can group the terms into one fraction and simplify:

[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]

Answer:

The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Step-by-step explanation:

We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

Simplifying to find the difference:

[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

x is common in both 3x and x^2 so, we can cancel it out and we get:

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

Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:

[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]

It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.

So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Pls help and show workings due ASAP

Answers

The answer is either A or C
actually it's D
29 + 5 = 34/2 = 17
7 - 15 = -8/2 = -4

please help will mark brainliest

Answers

Answer:

[tex]m\angle N=57^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].

Therefore:

[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .

Answer:

LMN is rectangle in L so LMN= 180° ; ML=66°;N=?  N= 180°- 66°=114=114/2= 57° so N=57°

Step-by-step explanation:

When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.

2. 4x + 5y = -30
Slope-standard form

Answers

Y=mx+c is the slope standard form
5y=-30-4x
5y=-4x-30
Y=-4/5x-6

A cherry pie has a 16 inch diameter. What is its approximate area? Round to the nearest hundredth. (Use 3.14 for π)

Answers

Answer:

200

Step-by-step explanation:

Formula to find the area: πr²

First, find the radius: 16 ÷ 2 = 8

The radius is 8. So...

= 3.14 (8²)

= 3.14 × 64

= 200.96

Rounded to the nearest hundredth: 200

Answer:

200.96

Step-by-step explanation:

A=3.14r^2(formula for area of a circle)

r=16/2=8

r=8

A=3.14*8^2=200.96

A store advertises 15% off an item that regularly sells for $300

what is the price of the item?

Answers

The item would sell for $255 if it had a 15 percent discount

For this problem, we're finding the percent of 300. To do that we:

1. Multiply 300 by 15.

300 x 15 = 4500

2. Divide 4500 by 100. (% = 100)

4500 / 100 = 45

Therefore, the unit price is 45. But we're not done. We need to subtract 45 by 300.

300 - 45 = 255

Now, our answer is 255 and the unit price is 45.

Let me know of any questions!

Please answer as soon as possible.

Determine whether the quantities in each table represent a proportional relationship. If yes put the constant rate otherwise put no

Answers

Answer:

There is not a proportional relationship

Step-by-step explanation:

The first and second hour the pay is $9.50/hour, but in the third hour the pay is $11/hour. Then in the fourth hour it changes again to $10/hourIf there was a proportional relationship there would need to be a constant rate of change in pay.

Answer:

Yes, the proportional relationship is 9.50

Step-by-step explanation:

In the graph that you have attached this picture with, hours x 9.50 = pay.

Hope this helps :D

food delilah has 4 1/2 pies to divide equally among 9 people. how much would each person get

Answers

Answer:

4.5/9 = 0.5

half a pie each

Which shows how much water drips the faucet hour each

Answers

Answer:

2.5 ounces drip from the faucet per hour.

Step-by-step explanation:

You can figure this out by dividing the amount of water (7.5) by the hours (3).

7.5/3 = 2.5

To check your work you can do the same for the other combinations.

10/4=2.5, 12.5/5=2.5....

I hope this helped :)

f(x) = 2x^2-10x+13
Find f(-4)

Answers

Answer:

85

Step-by-step explanation:

2(-4)^2=32

-10(-4)=40

32+40+13=85

y = 2x + 4.6

m = ____ b = ____


fill in the blank !!!

Answers

Answer:

m = 2, b = 4.6

Step-by-step explanation:

The slope intercept formula is y = mx + b, So you can substitute for the values given.

3x² ×2x³

help please

Answers

6x to the 5th power
Answer: 6x^5 or [tex]6x^{5}[/tex] _______________First multiply the factors without the variables, three and two.3 * 2 = 6_______________Then once again add the variables.6x _______________Next you add the square roots together.2 + 3 = 5_______________Once you've added the square roots add them back to the 6x to make.6x^5 or [tex]6x^5[/tex]_______________

Hope you have a good day!〜

Also please tell me if I'm wrong or not...

Also also if I'm right can I please have Brainliest?

.

plz help, I need help

Answers

Answer:

Answer is A

Step-by-step explanation:

because 2 × $11.50 is for adult tickets

$8 × 4 is for childrens tickets

and the equation would represent the total cost

An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?

Answers

Answer:

For Literature = 90 pages

For Grammar = 60 pages

Step-by-step explanation:

An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?

Literature : Grammar

3 : 2

Total number of Proportion = 3 + 2 = 5

For Literature

= 3/5 × 150 pages

= 90 pages

For Grammar

= 2/5 × 150 pages

= 60 pages

The sum of two numbers is 120. Three times
their difference is 48. What are the numbers?
TERS A.5(C) A.1(A), A1(B)
F. 16, 120
G 36, 52
H 52,68
J 68, 84
Pleasss help thank you :)

Answers

Answer:

The answer is 68 and 52

Step-by-step explanation:

x + y = 120

3(x - y ) = 48

We have 3x + 3y = 360

and 3x - 3y = 48

Adding we have the following:

6x = 408

x = 68

y = 120-48 = 52

Hi! during this pandemic it's kind of hard to learn math over the screen. no one is willing to help since my teachers are busy and my mom is confused. I Don't have friends to go to who could help me..So i'm hoping someone here could help! ...!!i cropped it so you could see better..Thanks!

Answers

Answer:

a) c=33.5

I'll try my best to explain and help you out here! online school sucks, I hope you get the hang of it soon!

Step-by-step explanation:

Simplify both sides of the equation.

c(5)=(35.5)(5)−10

5c=177.5+−10

5c=(177.5 + −10) (Combine Like Terms)

5c=167.5

Divide both sides by 5.

5c/5 = 167.5/5

c=33.5

I'm not entirely sure about the second question but I'll try to figure it out and let you know!

If it takes eight men ten hours to build a wall, how long would it take four men?

Answers

Answer:

20 bc if 8 men took 10 hours then 4 men would take double the time

Answer:

ha ha is it math question seriously or riddle if riddle the wall is already built by men they non time is taken by men.

IF YOU DO ALL THREE AND U ANSWER THEM CORRECTLY ILL GIVE YOU 50+ POINTS
❤️

Answers

Answer:

30 on the first one 5x6=30, the 2nd one is 5 and the 3 one is 10 chickens

Answer:

1. Zack has 6 times more seeds than Ben, if Ben has 5 seeds, just multiply how many seeds Ben has by 6, which means Zack planted 30 seeds (This can be written Z=B*6, where Z is how many seeds Zack has, and B is how many seeds Ben has)

2.  If there are a total of 40 cards divided into 8 groups of students, that means that each group got 5 card (40 ÷ 8 = 5)

3. If each chicken has 2 wings, and she has a total of 20 wings, that means that she bought a total of 10 chickens (20 ÷ 2 = 10)

What is the domain and range?


Answers

Answer:

The domain D = {0, 1, 2, 3, 4, 5}

The range R = {3, 4}

Step-by-step explanation:

Given the ordered pairs or points on the graph

{(0, 4), (1, 4), (2, 4), (3, 3), (4, 3), (5, 3)}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

Domain refers to all the possible sets of input values on the x-axis.

It means the set of all the x-coordinates of the given points or ordered pairs on a graph will be the domain.

Thus,

The domain D = {0, 1, 2, 3, 4, 5}

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.

Thus,

The range R = {3, 4}

Note: Please note that the duplicated elements in the range are written only once.

Find the average rate of change
f(x)=x^2−6x+8 when x2=1 and x1=3

Answers

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]

The formula for finding the rate of change is:

[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Putting the values, we get

[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]

Hence,

Average rate of change for given function is: -2

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Sammie read at the rate of 25 pages per hour. Alex read at the rate of 1/2 of a pages per minute. Who was reading faster? By how many pages per hour faster?

Answers

Answer:

Alex is reading faster by 5 more pages per hour.

Step-by-step explanation:

Alex's rate of reading is 1/2 pages per minute, or 1 page every 2 minutes. To convert his rate to pages per hour, we can divide 60 (minutes in an hour) by 2 (minutes it takes Alex to read a page) which is equal to 30 (pages read in an hour). Therefore, Alex is reading at 30 pages an hour and reading 5 more pages an hour than Sammie.

Other Questions
Metals are good conductors of heat because . Is there a problem with this sentence?Sungmin has the ability to ski well. what kind of phrase is WRITING A PAPER FOR HOURS, Sara finally shut her computer. 4Which graphic best represents the structure of the informational text "The Dead Sea Scrolls"?OpinionBothBReason1Reason2Reason3ACauseEffect EffectStepStep2Step31BD what is the image of the point ( -4, 8) after a rotation of 90 counterclockwise about the origin help me pleaseee pleaseee a 100oz bottle costs $2.97 and a 200oz bottle costs $5.78 what is the unit price of each one? 3/4 of x, if x= 15/28PLS HELP!!! Anthony downloaded 8 total items onto his phone. The games he purchased were $2.00 each and songs were $1.00. How many of each did he buy after spending $11.00? Write STILL in the correct place in each sentence. What is a cross-connection?AA physical connection between safe and unsafe water sourcesBBack-flow of clean into dirty waternone of these are correctDA connection between water and electrical sources One rightor freedom guaranteed under the First Amendment is * Please help me answer this question I will give you a brilliant and a thanks if you dont answer it if youre going to put something random if you do I lm going to Report you EASY 10 POINTS!!I couldn't stop humming that tune.This sentence contains:a gerund phrasea participle phrasean infinitive phrase atom ,molecule, proton neutron electron, elements/compounds from SMALLEST to the BIGGEST. How many pounds are in 24 ounces? A. 1/2 B. 1 C. 1 1 /2 D. 2 What happens as electrons move along the chain of molecules known as the electron transport chain? ????????????????????????????? What image does the girl in Albany, Texas, use in her note to the author? Osmosis is the movement ofacross a memberane,Foodwateroxygenenergy