Given: O ∈ AB , ON is ∠ bisector of ∠AOC, OF is ∠ bisector of ∠COB, m∠FOB=70°. Find: m∠AON

Answers

Answer 1

Answer:

AOC = 20 degrees

Step-by-step explanation:

We know that FOB is 70 degrees, and COF is 90 degrees. So just add 70+90 and get 160 degrees. Then you subtract that from AOB which is 20 degrees.


Related Questions

Factorise x cube -2x square -5x plus 6

Answers

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

Combine and simplify the following radical expression. 3^ square root 6 x 3^ square root 4​

Answers

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[tex] {3}^{ \sqrt{6} } \times {3}^{ \sqrt{4} } = [/tex]

[tex] {3}^{ \sqrt{6} } \times {3}^{2} = [/tex]

[tex] {3}^{ \sqrt{6} + 2 } = {3}^{2 + \sqrt{6} } [/tex]

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What is the solution to the equation 5x−2=2x+13

Answers

Answer:

X=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5x-2=2x+13

-2x     -2x

3x-2=13

    +2   +2

3x=15

divide 15 by 3.

Simplify the expression: 3(q + 11) - 4

Answers

Answer:

8

Step-by-step explanation:

For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range.
The vertex is (1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (1, 2), the domain is all real numbers, and the range is y < 2.
O The vertex is (-1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (-1,2), the domain is all real numbers, and the range is ys 2.

Answers

Answer:

8

Step-by-step explanation:

Answer:D is incorrect

Question is: Solve -7(x+6)=4(x+6)

Answers

[tex]\huge\boxed{x=-6}[/tex]

Hey there! Our goal here is to isolate the variable on one side of the equation.

[tex]\begin{aligned}-7(x+6)&=4(x+6)&&\smash{\Big|}&&\textsf{Start with the original equation.}\\-7x+(-7)(6)&=4x+4(6)&&\smash{\Big|}&&\textsf{Distribute.}\\-7x-42&=4x+24&&\smash{\Big|}&&\textsf{Multiply.}\\-7x-4x&=24+42&&\smash{\Big|}&&\textsf{Move the terms.}\\-11x&=66&&\smash{\Big|}&&\textsf{Combine like terms.}\\x&=\boxed{-6}&&\smash{\Big|}&&\textsf{Divide both sides by $-11$.}\end{aligned}[/tex]

Answer: The answer is x=–6.

Step-by-step explanation: Step 1: Simplify both sides of the equation:

[tex](-7)(x)+(-7)(6)=(4)(x)+(4 )(6)[/tex] (Distributive Property)

[tex]-7x+-42=4x+24[/tex]

[tex]-7x-42=4x+24[/tex]

Step 2: Subtract 4x by the both sides: [tex]-7x-42-4x=4x+24-4x[/tex]

[tex]-11x-42=24[/tex]

Step 3: Add 42 to the both sides: [tex]-11x-42+42=24+42[/tex]

[tex]-11x=66[/tex]

And step 4: Divide both sides by -11: [tex]\frac{-11x}{-11}=\frac{66}{-11}[/tex], [tex]x=-6[/tex].

I hoped this formula step-by-step is very helpful, please mark me as brainliest, and have a happy holidays! :D

3. Consider the equation s +10 = 25.
(a) Write a real-world problem that can be solved using the equation.

Answers

s +10 = 25.

There is a bag containing 25 chocolates 10 of them are white, how many chocolates are dark chocolates?

Find the surface area of the rectangular prism.
1 mi
1 mi
5 mi

Answers

Answer:

20mi[tex]1^{2}[/tex]

Step-by-step explanation:

Well, I'm guessing that the 1mi by 1mi is the two square sides and 5 mi is the length of the rectangular part

So with that information, the two surface areas of the squares would be 1mi[tex]1^{2}[/tex]+1mi[tex]1^{2}[/tex] is 2mi[tex]1^{2}[/tex]

And then the four rectangular sides would be 5mi[tex]1^{2}[/tex] *4 = 20mi[tex]1^{2}[/tex]

in conclusion

20mi[tex]1^{2}[/tex]

PLS HELP I AM RunNInG LOW ON PONITS AND WONT BE ABLE TP REPOst

Answers

Answer:

The answer would be D.

Step-by-step explanation:

I WILL MARK AS BRAINLIEST!!!!

Answers

Answer:

1. 795, 23

2. 50, she will finish her candy on November 21 so she won't be able to share with her cousins

3. $276, 71 cars

Step-by-step explanation:

1. your equation: y = 35x + 235

plug in 16 to find how many pictures she will have on may 16: y = 35(16) + 235

you get y = 795

for the second part, you know are trying to find how long it will take to get to 1024 pictures, so you know your y, but you don't know your x

your equation: 1024 = 35x + 235

solve to get x = 22.54

this rounds up to 23, so your answer is 23

2. multiply 8 times 4 to get 32

subtract 32 from 82 to fin how many she has left

you get 50

for the second part, divide 82 by 4 to find how many day it will take to finish her candy

you get 20.5

so no, she will not have candy to share with her cousins, and she will finish her candy on November 21

3. for this, you have a negative y intercept since you need to make $24 to start profiting

your equation: y = 6x - 24

plug in 50 to x: y = 6(50) - 24

you get y = 276

so you make $276 with 50 cars

for the second part, plug in 400 to y: 400 = 6x - 24

solve to get x = 70.66

this rounds up to 71, so your answer is 71

I WILL GIVE BRAINLIEST! PLEASE TAKE YOUR TIME!
Use the order of operations to evaluate the expression below.
12 + 24 / 10 - 4) x (9 - 7) - 17

Answers

Answer:

-27.6

Step-by-step explanation:

I'm smart but probably shouldn't use my answer

Ms. Geetha said that 60 of her total students will compete in the Math Olympics. If 60 is 20% of her students, how many total students does she have?

Answers

Answer:

300 students

Step-by-step explanation:

There are two ways to solve this question.

Way Number 1

60 is 20% of the total students

20÷100= 0.2

60÷0.2=300

Therefore there are 300 students

Way Number 2

60 is 20% of the total students

60/20 = x/100

x= 60*100÷20

x= 6000÷20

x= 300

Therefore there are 300 students.

(0, -19), (20, 15)
I am having trouble

Answers

Answer:

-38285

Step-by-step explanation:

this is what my calculator told me

sorry but ask someone else

I don´t know what slopes are

so sorry

if you earn $35 in 5 hours, how much money will you earn in 17 hours? how much will you earn in 1 hour?

Answers

Answer:

$119, $7.

Step-by-step explanation:

First, we need to find the unit rate of pay, in dollars.

Divide $35 by 5 to get $7 per hour.

Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.

By doing this, we get the answer: $119.

Hope this helps! Let me know.

Jay wants to buy a book for $8.00. The sales tax is 6%. How much will Jay pay for the book including tax?

Answers

Answer: $8.48

Step-by-step explanation: 8x.06 = .48 +8 = $8.48

if a plot of land contains a rectangular array of 102 strawberries plants, how many rows are in the array if there are 34 plants in each row?

Answers

3 rows. Sorry if I’m wrong

What is the missing number from the following sequence?

4 7 11 18 29 47 __ 123 199 322

Answers

Answer: 76

Step-by-step explanation: 29 + 47

the sides of a triangle are 3 whole 1 by 6 cm 4 whole 2 by 3 cm and 5 whole 2 by 3 cm. Find the total length of the three sides of the triangle​

Answers

Answer:

[tex]16\frac{2}{3}[/tex]cm

Step-by-step explanation:

Given dimensions:

           [tex]3\frac{1}{6}[/tex] cm by [tex]4\frac{2}{3}[/tex]cm  by [tex]5\frac{2}{3}[/tex] cm

The total length:

 it is the sum of all the sides;

         [tex]\frac{19}{6} + \frac{14}{3} + \frac{17}{3}[/tex]  

LCM of the denominators = 6 ;

   [tex]\frac{38 + 28 + 34}{6}[/tex]  = [tex]\frac{100}{6}[/tex]

                 = [tex]\frac{50}{3}[/tex]

                 = [tex]16\frac{2}{3}[/tex]cm

Kelsey is a stock broker. She earns 11% commission each week.Last week she sold $7200 worth of stocks. How much did she make last week in commission? if she averages the same amount each week how much did she make in commission in 2011?

Answers

Answer:

$792 last week's commission.

$41,184 for 2011

Step-by-step explanation:

11% of 7200 is = $792

$792 times 52 weeks in a year is $41,184

On another day, Martin bought 123
5
pounds of grapes for a picnic. His friend bought 3
8
of that amount. Use compatible fractions to estimate how many pounds of grapes Martin’s friend bought.

123
5


3
8


Martin's friend bought about
pounds of grapes.

Answers

Answer:

The answer is 123

5

✔ 12 1/2

3

8

✔ 1/2

Martin's friend bought about  

✔ 6 ¼

pounds of grapes.

The number of pounds of grapes that are bought will be  [tex]4\frac{29}{40}[/tex]  pounds.

What is fraction?

Fractions are used to represent smaller pieces (or parts) of a whole.

Given the information that Martin bought 12 3/5 pounds of grapes for a picnic, while his friend bought 3/8 of that amount.

Therefore, the amount that his friend bought will be:

= 3/8 × 12 3/5

= 3/8 × 63/5

= 189/40

= [tex]4\frac{29}{40}[/tex]

Hence,  the number of pounds of grapes that are bought will be  [tex]4\frac{29}{40}[/tex]  pounds.

Learn more about fraction on:

brainly.com/question/9695343

#SPJ6

Freida earns $5.25 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 48 hours?

Answers

Answer:

Total earned= $273

Step-by-step explanation:

Giving the following information:

Regular labor hours= $5.25

Overtime labor hours= $5.25*1.5= $7.875

To calculate the total earned, we need to use the following formula:

Regular labor hours= 40*5.25= 210

Overtime labor hours= 8*7.875= 63

Total earned= 210 + 63

Total earned= $273

Which team has the best record? Explain how you know. a. Jules' Rules; For every three games that they played, they only lost 1. b. High-5s; For every nine games that they played, they only lost 1. c. Pink Sox; For every four games that they played, they only lost 1. d. Go-Girls; For every ten games that they played, they only lost 1.

Answers

Answer:

D. Go-Girls; For every ten games that they played, they only lost 1.

Step-by-step explanation:

They win nine games and lose one

9:1 is the ratio

d. Go-Girls; For every ten games that they played, they only lost 1 and performed the best.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Let, The numerator of a fraction represents the number of games lost and the denominator represents the total number of games played.

Therefore, The fractions that represent this context for all the teams are,

1/3, 1/9, 1/4 and 1/10.

We know the value of a fraction increase with the same numerator and smaller and smaller denominator.

So, The fraction 1/10 has the least value which indicates that it is the best performer.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ5

4.5x10^2 in standard notation

Answers

Answer:

450

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

help plzzzzzz it should be easy

Answers

Answer:

uh

Step-by-step explanation:

l

Answer

1.<     2.>

Step-by-step explanation:

1. 9x4/5= 7.2<9

2. 4x6/5= 4.8>4

Two cities on a map are 6.5 cm apart. The cities are actually 325 km apart. What scale was used to draw the map?

Answers

Answer:

A scale of fivce hundred should be the correct answer

Step-by-step explanation:

Answer:

1cm=50km

Step-by-step explanation:

325 divided by 6.5 is 50, so 1 centimeter equals 50 kilometers on the map scale.

Someone help ASAP
I don’t understand

Answers

Answer:

[tex]\sqrt{49}[/tex] and 1/4 are rational numbers

Step-by-step explanation:

others are not rational numbers because the decimals goes on forever.

Ex. [tex]\sqrt{7}[/tex]=2.64575.....

4/9=0.444444444...

pi goes on forever

Brooke needs a new computer. On Friday, the computer was $200.00. On Saturday, the price of the computer was $149.00. Determine if there was a markup or markdown and by what percent.

Answers

Answer:

Step-by-step explanation:

Given

price of the computer on Friday = $200

price of the computer on Saturday = $149

Difference in price = 200 - 149 = $51

Since the price reduces in price by $51, hence there was a markup in price.

% markup = difference in price/original price * 100%

% mark up = 51/200*100%

% markup = 51/2

% markup = 25.5%

Hence the markup was a 25.5% change

Answer:

25.5 is the answer..........................................................

Step-by-step explanation:

Please help me!!!! I will mark brainlist.

Answers

Answer:

angle 1 =135

Step-by-step explanation:

it is 180 degrees total. We know that there are two angles that have a ratio to 3:1. So, assign x to 2. Since 1 = 3x, we do 3x+x =180

4x=180

x=45 or angle 2

180-45=135 or angle 1

Multiply angle 2 by 3 to check if its correct

Answer:

the measurement of angle 1 is 135 degrees. (i think)

Step-by-step explanation:

so we know that angle 1 and 2 are at a 3:1 ratio

and that 1 and 2 add to 180 degrees

if you plug the number 45 in to angle 1, then multiply that by 3 you get 135

the remaining number to add to 180 would be angle 2

which is 45 degrees.

If the explanation is choppy or hard to read, apologies, its fairly hard for me to explain this.

however i hope this helps.

Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates that he has paid $240,141 towards the mortgage. What is the approximate APR?

3%
4%
6%
7%

Answers

Answer:

About 3%

Step-by-step explanation:

3% of $167,000 is $5,010

5010 times the 20 years is 100200 add that to the 167000 and you get $267,200

The actual answer is about 2.4% but 3% is the closest.

help ;w;

Daniel rode his bicycle from Barton to Wells along the path shown on this map.

If it took Daniel 5 hours to complete the trip, what was his average speed in miles per hour?​

Answers

I’m going to guess 12.4mph. Sorry if it’s wrong
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