Three straight lines intersect at $O$, and ray $\overrightarrow{OD}$ divides $\angle COE$ into two angles of equal measure. The ratio of $\angle COB$ to $\angle BOF$ is $7:2$. What is the number of degrees in $\angle COD$?

Answers

Answer 1

Answer:

12

Step-by-step explanation:

m xxq

Answer 2

The required measure of an angle is ∠COD = 40°.

What are the vertical angles?

When two lines intersect at a location, vertical angles are generated. They are always equal to each other.

Let's call the measure of [tex]$\angle COE$[/tex]  x degrees.

Since [tex]$\overrightarrow{OD}$[/tex] divides [tex]$\angle COE$[/tex] into two angles of equal measure, the measure of each of those angles is [tex]$\frac{x}{2}$[/tex] degrees.

Since the measure of [tex]$\angle COB$[/tex] is 7 times the measure of [tex]$\angle BOF$[/tex], we have [tex]$\angle COB = 7\angle BOF$[/tex]. The sum of the measures of the angles of a triangle is [tex]$180^\circ$[/tex], so we can set up the equation [tex]$\angle COB + \angle COE + \angle BOF = 180^\circ$[/tex]. Substituting [tex]$7\angle BOF$[/tex]  for [tex]$\angle COB$[/tex], we have:

[tex]$7\angle BOF + x + \angle BOF = 180^\circ$[/tex]

Solving for [tex]$\angle BOF$[/tex], we find that [tex]$\angle BOF = 20^\circ$[/tex].

The measure of [tex]$\angle COD$[/tex] is equal to the measure of[tex]$\angle COE$[/tex] minus the measure of [tex]$\angle COD$[/tex], so [tex]$\angle COD = x - 2\cdot 20^\circ = x - 40^\circ$[/tex].

Since the measure of [tex]$\angle COE$[/tex] is equal to [tex]$2\angle COD$[/tex], we have [tex]$x = 2(x - 40^\circ)$[/tex], which simplifies to [tex]$x = 80^\circ$[/tex].

Therefore, the measure of [tex]$\angle COD$[/tex]  is [tex]$80^\circ - 40^\circ = {40^\circ}$[/tex].

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Step-by-step explanation:

Set up a proportion and solve:

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Gia can run 4 miles in 32 minutes. At that rate, how many miles can she run in 40 minutes ​

Answers

Answer:

5

Step-by-step explanation:

For these types of problems, we can use cross - multiplication.

4/32 = x/40

Notice that since 40 and 32 are both measured in minutes, we put them on the same line.

Now, like the name suggests, we cross multiply the equation, by doing 4 * 40 = 32 * x. Now, we are left with 160 = 32x. After solving this, we get the answer 5.

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explain how you solved the problem.

Answers

Answer:

I think the answer would be 15 miles bc 5×3=15

Which of these is an example of a continuous random variable?
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B. Number of eye blinks in a minute
O C. Speed of a race car during a race
O D. Number of dogs at a kennel

Answers

B.Number of eye blinks in a minute.
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Answers

Answer:

collect like terms

8x-2x-6x=12-2-10

8x-8x=12-12

Answer is = 0

A plane is flying at a steady speed of 30000m/minute.
How long does it take to fly 2000m. Give your answer in seconds.
SHOW METHOD AND EXPLAIN

Answers

Answer:

4 seconds

Step-by-step explanation:

[tex]\frac{30,000}{1} =\frac{2,000}x}[/tex]

The numerator is the distance and the denominator is the time.

I used cross multiplication, the numerator of one fraction times the denominator of the other.

[tex]30,000*x=2,000*1\\30,000x=2,000[/tex]

divide both sides by 30,000 and simplify

[tex]x=\frac{2,000}{30,000} \\x=\frac{2}{30}[/tex]

Then multiply the fractions by 2/2 (basically multiplying the numerator and the denominator each by 2)

[tex]x=\frac{4}{60}[/tex]

Since the denominator is 60, the number of seconds in a minute, the numerator is the answer

I hope this makes sense ;-;

HELP ASAP PLEASE


Solve for x -3/4 (x + 2) = 6

Answers

Answer:

30

Step-by-step explanation:

The answer is -10 how do I know this because

-3/4 times (x+2)=6
-3/4x -3/2=6
-3x-6=24
-3x=24+6
-3x=30
Divide
=-10

An otter weighs 7.4 kilograms. How many grams does the otter weigh? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.

Answers

Answer:

74

Step-by-step explanation:

So, what you have to do s 7.4 times 10 and then you get the anwser 74.

A farmer packs 26 apples into trays for market. Each tray holds 6 apples. How many apples are in the partly filled tray? 32 children are going camping. Three children can sleep in one tent. How many tents are needed for all the children?

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2 apples in the partly filled tray, 11 tents are needed for all the children

Factor each polynomial.
푥 2+ 4x + 3

Answers

Answer:

mines says 5+4x

Step-by-step explanation:

I don't know if u have it

HELP!!!!! I NEED ANSWERS QUICK I WILL GIVE 20 POINTS!!!!!!!

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Answer:

1 one firs side second one second side 3rd one second side 4th one first one 5th one second  side 6th one first side

Step-by-step explanation:

Answer:

Step-by-step explanation:

First [formula] goes to first category

Second [formula] goes to second category

Third [statement] goes to first category

Fourth [formula] goes to first category

Fifth [statement] goes to second category

Sixth [formula] goes to second category

A line passes through the point (8, -9) and has a slope of 3/4 . Write an equation in point-slope form for this line.​

Answers

Answer:

y+9=3/4(x-8)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=3/4(x-8)

y+9=3/4(x-8)

What 2 numbers multiply to make -30 and combine to make -7? ____and____
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Answers

Answer:

-10 and 3

Step-by-step explanation:

-10 x 3 = -30

-10 + 3 = -7

Answer: -10 and 3

Step-by-step explanation:

-10 x 3 = -30 and -10 + 3= -7

If an 8 sided spinner has 2 one's, 2 two's, 2 three's, and 2 four's, what is the probability of spinning a 3?

Answers

12 TRUST MEE all you had to do was add than divide

PLEASE HELP ASAP!!!!!!!!!!!!!

Answers

Answer

12. x = 15, y = 21

13. x = 10, M = 37, N = 84, P =59

14. x = 19, R = 43, S = 20, T = 117

15. A = 21, B = 125, C = 34

16. J = 48, K = 57, L = 75

Explanation

12. 6x - 11 + x + 5 + 81 = 180

     7x + 75 = 180

     7x = 105

     x = 15

     4y - 18 + y + 14 + 6*15 - 11 = 180

     5y + 75 = 180

     5y = 105

     y = 21

13. 4x - 3 + 9x - 6 + 6x - 1 = 180

    19x - 10 = 180

    19x = 190

    x = 10

    M = 4*10 - 3 = 37

    N = 9*10 - 6 = 84

    P = 6*10 - 1 = 59

14. R = 2x + 5

    S = x + 1

    T = 7x - 16

    2x + 5 + x + 1 + 7x - 16 = 180

    10x - 10 = 180

    10x = 190

    x = 19

   R = 2*19 + 5 = 43

   S = 19 + 1 = 20

   T = 7*19 -16

15. A = C -13

    B = 4C - 11

   

    c - 13 + 4c - 11 + c = 180

    6c -24 = 180

    6c = 2-4

    C = 34

   A = 34 - 13 = 21

   B = 4*34 - 11 = 125

16. K = J + 9

     L = 2J -21

     j + 9 + 2j - 21 + j = 180

    4j -12 = 180

    4j = 192

    J = 48

    K = 48 + 9 = 57

    L = 2*48 -21 = 75

Which of the following is equivalent to -5x + 1?
5x+1
5x-1
1+5x
1-5x

Answers

Answer:

1-5x

Step-by-step explanation:

This answer can be found through simple substitution.

let x=1

-5(1) + 1

-5 + 1= -4

1-5x

1-5(1)

1-5  = -4

Answer:

1-5x

Step-by-step explanation:

-5x+1=-4x

5x+1=6

5x-1=4x

1+5x=6x

1-5x=-4x

Hope this can help you.But if it's not,im so sorry

Have a nice day..☺️

se acabaron los bidones de 10 y se quieren envasar 1362 litros de agua ¿cual es la menor cantidad de envases que se pueden llenar?​

Answers

Answer:

serían 136 y sobran 2

Step-by-step explanation:

porque al ser una botella de 10 litro y 1362 los dividimos nos da la cantidad de 136 se puede hacer mentalmente

A $300 computer has a 35% tax. What is the cost of the tax?

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C) $80
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Answers

The answer is D 105

Answer:

D : $105

Step-by-step explanation:

I use Proportional Reasoning.

part    percent

whole   100  is the formula.

We are looking for the part so we will keep that as "x"

x       35

300   100

100 x 3 is 300. So 35 x 3 is 105. Thats the answer!

Consider the equation:
24 = x2 - 4x + 3
1) Rewrite the equation by completing the square.
Your equation should look like (x + c)2 = d or (2 — c)2 = d.
2) What are the solutions to the equation?
Choose 1 answer:
X = 2 5
x = -2 +5
x = 2 + 5
x = -2 + 5

Answers

Answer:

        1)  (x - 2)² = 25         2)   x = 2 ± 5

Step-by-step explanation:

[tex]24 = x^2 - 4x + 3\\\\ x^2 - 4x + 3-24=0\\\\\underbrace{x^2-2\cdot x\cdot2+2^2}-2^2-21=0\\\\{}\qquad(x-2)^2-25=0\\\\{}\qquad\bold{(x-2)^2=25}\\\\{}\qquad x-2=\pm\sqrt{25}\\\\{}\qquad \bold{x=2\pm5}[/tex]

the required equation for 1 is (x - 2)² = 25 and solution for 2 is x = 2 ± 5

What is the equation?

The equation is the relationship between variables and is represented as y =ax + b is an example of a polynomial equation.

part 1
Given equation,
x² - 4x + 3 = 24
x² - 4x + 4 - 4 + 3 = 24
(x - 2)² - 1 = 24
(x - 2)² = 24 + 1
(x - 2)² = 25

Part 2

Solution for the given equation that transformed in part 1 of the solution.
(x - 2)² = 25
(x - 2) = √25
(x - 2) = ±5
x = 2 ± 5

Thus , the required equation for 1 is (x - 2)² = 25 and solution for 2 is x = 2 ± 5

Learn more about the equation here:

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PLEASE ANSWER! I DONT UNDERSTAND

Answers

Step-by-step explanation:

I think the answer is:

A. y=-3+2x

D. y=5x-4

Hope it helps

In the diagram below, lines h and k intersect, What is the measure of C

Answers

Answer:

124°

Step-by-step explanation:

this

will surely

help

Answer:

angle C is 126°

Step-by-step explanation:

angle C + 56° = 180° (linear pair)

angle C = 180°- 56°

angle C = 124°

Which number line shows point h at 2/3

Answers

Answer:

there is no picture so i cant answer this question


Brian rolls a fair dice 60 times.
How many times would Brian expect to roll a three?

Answers

Answer:

10 times.

Step-by-step explanation:

He rolls all the dice independently, so The expected number of 3's is 60 * (expected number of 3's in one throw).

The expected number of 3's in one throw is:

5/6 * 0 + 1/6 * 1 = 1/6

because 5/6 of the time we roll zero 3's and 1/6 of the time we roll one 3 :D

So he should expect (60 * 1/6 = 10) 3's in 60 throws.

how do i solve substitution

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I really don’t know can u help me with science

A restaurant can serve 22.3 ice cream sundaes from each gallon of ice cream. Which equation represents the number of sundaes, n, that can be made from g gallons of ice cream?​

Answers

Answer:

g/22.3 = n

Step-by-step explanation:

The movie theatre is running a special for the
weekend to celebrate its 10th anniversary!
Movie tickets usually cost $20 but the special
for the weekend is only $8 a ticket. How much
is the movie theatre discounting the tickets?

Answers

Answer:

12$

Step-by-step explanation:

20 - 8 = $12

Answer:

12

Step-by-step explanation:

20 - 8 = 12 left over......

Please help!! Will mark BRAINLIEST!!

Answers

Answer:

[tex]f(x)=2^{x}[/tex]

Step-by-step explanation:

The shape of that function is exponencial.

All expoencial functtion passed though the point (0,1).

In that case we have the point (4,16) in other words: (4,2⁴)

[tex]f(x)=2^{x}[/tex]

The first one is the answer.
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