In the given figure, find the measure of angle BOC, angle COD and angle DOE ?​

In The Given Figure, Find The Measure Of Angle BOC, Angle COD And Angle DOE ?

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]2x - 10^o + 2x + 30^o + x + 10^o + 50^o = 180^o \\\ 5x + 80^o = 180^o \\\ 5x = 180^o - 80^o \\\ 5x = 100^o \\\ x = \frac{100^o}{5} \\\\ x = 20°[/tex]

I hope I've helped you.

Answer 2

Explanation:-

From the given figure :

∠AOB = 50°

∠BOC = x+10°

∠COD = 2x+30°

∠DOE = 2x-10°

We know that

The sum of the angles lie on the same line = 180°

⇛ ∠AOB + ∠BOC + ∠COD + ∠DOE = 180°

⇛ 50°+x+10°+2x+30°+2x-10° = 180°

⇛ 5x+80° = 180°

⇛ 5x = 180°-80°

⇛ 5x = 100°

⇛ x = 100°/5

⇛ x = 20°

∴ x = 20°

Now,

The measure of ∠BOC = x+10°

= 20°+10°

= 30°

The measure of ∠COD = 2x+30°

= 2(20°)+30°

= 40°+30°

= 70°

The measure of ∠DOE = 2x-10°

=2(20°)-10°

= 40°-10°

= 30°

Answer:-

The measure of ∠BOC = 30°

The measure of ∠COD = 70°

The measure of ∠DOE = 30°

Remember:-The sum of the angles lie on the same line is 180°


Related Questions

4 plums and 7 bananas

Answers

I agree. Great discussion post this week!
Answer: 11 total fruit??

Give 3 points that all lie on a line with a slope of 4. Explain your process.

Answers

Answer:

Step-by-step explanation:

The simplest line you can draw with a slope of 4 is y = 4x. Use The equation to make a table

y = 4x

x    1     3     5

y    4    12    20

So I just multiplied 4 by  3 and 5 red graph below shows the three points on the line. (1,4),(3,12),(5,20)

What about a more complex line.

y = 4x + 5

x 1  3  5

y 9 17 25

The green line show (1,9),(3,17),(5,25)

the sum of the reversed number and the original number is 154, find the original number, if the ones digit in it is 2 less than the tens digit

Answers

Answer:  86

==========================================================

Explanation:

For the original two digit number, we have:

x = tens digity = units digit (aka ones digit)

The original number is 10x+y. For instance, if x = 5 and y = 7, then we have 10x+y = 10*5+7 = 57.

This original number 10x+y swaps its digits to 10y+x. Then we add up the two expressions:

(original)+(swapped) = (10x+y)+(10y+x) = 11x+11y = 11(x+y)

This sum is stated to be 154

11(x+y) = 154

x+y = 154/11

x+y = 14

Then we're told that "the ones digit in it (the original number) is 2 less than the tens digit". Meaning that y = x-2 is another equation we can use. We'll plug this into the previous equation we found and solve for x

x+y = 14

x+x-2 = 14 ... replace y with x-2

2x-2 = 14

2x = 14+2

2x = 16

x = 16/2

x = 8 is the tens digit of the original number

y = x-2

y = 8-2

y = 6 is the units digit of the original number

The original number is 10x+y = 10*8+6 = 86

As a check, adding 86+68 = 154 which confirms our answer.

what is the slope intercept form​

Answers

Answer:

[tex]y = \frac{4}{3} x - 4[/tex]

Hope it helped:)

Tìm giá trị của Lim (đề bài trong ảnh)

Answers

First, rewrite

[tex]\dfrac{x^2+5x+4}{x^2-3x+7} = \dfrac{(x^2-3x+7)+(8x-3)}{x^2-3x+7} = 1 + \dfrac{8x-3}{x^2-3x+7}[/tex]

Next, we have

[tex]\dfrac{x^2-3x+7}{8x-3} = \dfrac x8 - \dfrac{21}{64} + \dfrac{385}{512x-192}[/tex]

so we can further rewrite

[tex]\dfrac{x^2+5x+4}{x^2-3x+7} = 1 + \dfrac1{\frac x8 - \frac{21}{64} + \frac{385}{512x-192}}[/tex]

The idea behind all this is to get the limand into a form resembling the limit definition of the constant e, which is

[tex]\displaystyle e = \lim_{x\to\infty} \left(1+\frac1x\right)^x[/tex]

The next step is to make the substitution,

[tex]y = \dfrac x8 - \dfrac{21}{64} + \dfrac{385}{512x-192}[/tex]

Solving for x gives two solutions,

[tex]x = \dfrac{8y+3\pm\sqrt{64y^2+36y-19}}2[/tex]

but we want to have y approaching infinity, just like in the definition for e, which is achieved only by the solution with the positive square root. (You can check for yourself that the other solution instead approaches 3/4.)

So, our limit is equivalent to

[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac{8y+3+\sqrt{64y^2+36y-19}}2}[/tex]

[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac{8y+3+8y\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}}2}[/tex]

[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{4y\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right)+\frac32}[/tex]

[tex]\displaystyle \lim_{y\to\infty} \left(\left(1+\frac1y\right)^y\right)^{4\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right)+\frac32}[/tex]

[tex]\displaystyle \lim_{y\to\infty} \left(\left(1+\frac1y\right)^y\right)^{4\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right)} \cdot \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac32}[/tex]

Next, we use the fact that

[tex]\displaystyle \lim_{x\to\infty} f(x)^{g(x)} = \left( \lim_{x\to\infty}f(x)\right)^{\lim\limits_{x\to\infty}g(x)}[/tex]

Now, the "base" limit is e, while the "exponent" limit is

[tex]\displaystyle \lim_{y\to\infty} 4\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right) = 4(1+\sqrt{1+0+0}) = 8[/tex]

and the remaining limit is simply

[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac32} = (1+0)^{\frac32} = 1[/tex]

So, we end up with

[tex]\displaystyle \lim_{x\to\infty} \left(\frac{x^2+5x+4}{x^2-3x+7}\right)^x = e^8 \cdot 1 = \boxed{e^8}[/tex]


Austin has ridden 49 miles of a bike course. The course is 70 miles long. What percentage of the course has Austin ridden so far?

Answers

Answer:

70%

Step-by-step explanation:

49/70 = 0.7

0.7*100 = 70

PLEASE HELP WITH ALL

Answers

Answer:

For 9., the answer is x = -6

For 10., the answer is x = 6

For 11., the answer is x = -7

For 12., the answer is x = -6

How do you know if a table of values shows a function?

Answers

a function is kind of like a pattern

A public parking garge charge $6,plus an additional $2per hour show me the
graph the line

Answers

Answer:

Step-by-step explanation:

y=6+2x

where x is number of hours.

Ms. Henderson's plant is 6 1/3 inches tall. It is 1 5/6 inches taller than Megan's plant.
How tall is Megan's plant?
Enter your answer as a simplified mixed number by filling in the boxes.

Answers

Answer:

4 1/2 inches

Step-by-step explanation:

Hi! I hope this helps!:

Since Ms. Henderson's plant is 6 1/3, all we need to do is subtract 1 5/6 from it! We do this because it says, "1 5/6 inches taller than Megan's plant".

For the next steps, you can change the mixed numbers into decimals or into improper fractions! 6 1/3 would be 19/3. 1 5/6 would be 11/6. You can find a common denominator for both. I would make 19/3 to 38/6.

Lastly, you need to subtract and make it into simplest form! 38/6 - 11/6 = 27/6.

You could simplify it to 9/3, 4.5, or 4 1/2 inches.

Answer:

The is 4 1/2. just like

ChocoWaffoALT said.

What is the value of the expression 1/7 divided by five

Answers

Answer:

1/35

Step-by-step explanation:

plz mark brainllest

Answer:

1/7 divided by 5 =

1/35

in decimal form, its:

0.0285714...

Kevin’s car can go 315 miles on one tank of gas. He used just under 40% of a full tank of gas to get him to a sporting event Traveling at an average speed of 60 miles per hour about how long did it take him to get there how did you decide

Answers

Answer:

2 hours 6 minutes

Step-by-step explanation:

40% of 315 is 126 [miles]

126 miles = 126 minutes, since he went at 60 miles per hour [one mile per minute]

126 minutes = 2 hours 6 minutes

So, 2 hours 6 minutes, or 126 minutes.

The graph shows the number of minutes you and your brother spend training your dogs for an upcoming competition. You spend___more minutes trading your dog each day than your brother.

Answers

Answer:

It is 15 but I don't know what the steps are since I took a test on this question and failed to get the right answer.

If I have 4 types of wood and 5 types of other materials, what is most likely.

Answers

Answer:

Well I'm not sure what your answer choices are but based on the question I can tell you this:

If you have 4 wood and 5 other materials then you have 9 total materials.

So if you have 4 wood then you have a 4/9 chance of choosing wood.

And you have a 5/9 chance of choosing another material

So based on that, you would be more likely to choose another material, that is not wood.

pls help i will give brainlinest (please explain how to do)​

Answers

Hello! The missing number is -1.

Notice that we add 1 every time:

-3+1=-2

-2+1=-1

-1+1=0

Therefore, the missing number is -1.

Hope this helps!

~Just a felicitous girlie

#HaveAnAwesomeDay

[tex]SilentNature :)[/tex]

Can someone please help with this?

Answers

Answer:

I was learning that to but it is way to blurred out and I can not see the text.

You need to make a clear picture if you need answers or no one can help you because we don't know what it say's.

Step-by-step explanation:

please help, this is an algebra 2 question :) I attached the problem in a photo - simplify the following expression

Answers

Answer:

[tex]\frac{x^2+19x-56}{4x^2-32x}[/tex]

Step-by-step explanation:

To add two fractions we need a common denominator. Just by looking at the two, there are no common factors. This means the denominator would be the product of the two: 4x(x-8). In order to obtain this, we multiply the first fraction by (x-8)/(x-8) - 1, and the second by 4x/4x - 1:

[tex]\frac{x+7}{4x} *\frac{x-8}{x-8} +\frac{5}{x-8}*\frac{4x}{4x}[/tex]

We can use the distributive property to simplify:

[tex]\frac{x^2-x-56}{4x(x-8)} +\frac{20x}{4x(x-8)}[/tex]

The sum of the two is:

[tex]\frac{x^2+19x-56}{4x^2-32x}[/tex]

Write the product using exponents.
(-0.9)×(-0.9)×(-0.9)

Answers

Answer:

-0.9³

Step-by-step explanation:

that's the answer hope it helps

Answer:

(-0.9)×(-0.9)×(-0.9)

(-0.9)^3

PLEASE HELP clear up my confusion! Carrie took out a $12,000 personal loan to pay off her credit cards. She will not make a payment for 2 years and there is a 5% interest rate. How much will be owed in 2 years with monthly compounding?

I know this is relatively simple but the variable that she doesn't pay for 2 years is confusing me on how to set up the problem.

Answers

Answer:

  $13,259.30

Step-by-step explanation:

The account balance with compound interest is ...

  A = P(1 +r/n)^(nt)

  A = $12,000(1 +0.05/12)^(12·2) ≈ $13,259.30 . . . . will be owed in 2 years

__

It's a straight compound interest problem. "No payments for 2 years" means the account continues to accrue compounded interest. It's basically a future-value problem, as opposed to an amortization or annuity problem where payments are involved.

Nikki descended 20.4 meters from the ocean surface. She then ascended 13.6 meters.
How far from the ocean surface was she?

Answers

6.8 meters
20.4-13.6=6.8 meters

Here are three different recipes for cookies.

Recipe 1: Mix 2 cups of chocolate chips with 6 cups of cookie batter.

Recipe 2: Mix 3 cups of chocolate chips with 7 cups of cookie batter.

Recipe 3: Mix 4 cups of chocolate chips with 12 cups of cookie batter.

Which two cookie recipes will make the same cookies?​

Answers

Answer:

Recipes 1 and 3 will make the same amount

How to solve f(x)-2x+1 find f(h+2)

Answers

Step-by-step explanation:

In pictures answered .

-1/15+-(3/5). How do you do this problem? Is it positive or negative?

Answers

Answer:

it's a negative answer Because there's one negative and one positive and if there are your two negatives that makes a positive and it's also the same with two positives

Using the graph as your guide, complete the following statement.
The discriminant of the function is _____ .

Answers

Answer:

positive

Step-by-step explanation:

the discriminant of the function is postive.

because from the graph we notice that it has 2 intercepts on x-axis, which means the function has 2 real solution when y=0

that implies the discriminant is positive.

[tex]\Delta = \sqrt{b^2-4ac}[/tex]

if [tex]\Delta > 0[/tex] we have 2 distinct real solution

if [tex]\Delta <0[/tex] we have no real solution but 2 complex solutions

if [tex]\Delta = 0[/tex] we have 2 identical real solution

(-5/6) + (-2 5/8) equals?

Answers

The answer is -83/24 exact form. But mixed number form is -3 11/24

I’m not quite understanding this, it’s just not setting in my brain (I’m just now starting in this math class)

Anyone who can help me, thank you I appreciate you, a lot!

I need part a and b

The question has to be worked out and if anyone doesn’t care to explain it to me! :)

Answers

Answer:

Step-by-step explanation:

Let x be the number of hours worked

Let C = the charge made by the first company

Let c  = the charge made by the second company

You want to know when the costs will be =.

Equations

C = 376 + 12x

c = 280 + 15x

Solution

Make the two right sides equal

376 + 12x = 280 + 15x            Subtract 12x from both sides

376 = 280 + 15x - 12x             Combine like terms on the right

376 = 280 + 3x                       Subtract 280 from both sides

376 - 280 = 3x                        Combine

96 = 3x                                    Divide both sides by 3

32 = x

Each company would have to work 32 hours to get the same amount to be charged.

C = 376 + 12x

C = 376 + 12*32

C = 376 + 384

C = 760

The amount each would charge is 760

Jane watched her brother Peter build something that looked like stairs out of blocks. He put a block, then a tower of 2 blocks next to it, then a tower of 3 blocks… If he continues the pattern, how tall will the tallest tower be if there are 200 blocks in the kit?

Answers

Answer:

1,200

Step-by-step explanation:

3x2=6 and 6x200=1,200

possible answers: 3.456 x 10^3, 3.456 x 10^4, 3.456 x 10^5, 3.456 x 10^6

Answers

Answer:

last option is correct

............................

Slope from graph Khan Academy. PLEASE HELP ME!! IM HAVING SO MUCH TROUBLE

Answers

Answer:

Step-by-step explanation:

you first have to find two points that pass directly through the graph in this case we have (1,4) and (4,-4)

Now we use y2-y1 divided by x2-x1

in this case -4 - 4 (y2-y1) and 4 - 1 (x2-x1)

giving you -8 and 3

so try putting -8/3 as your answer this is what i would put sorry if it is incorrect

I like to have some leftovers.
I've discovered that the
proper ratio of turkey to
people is 12 pounds of turkey
for every'8 people. If 36
people are going to be
eating, how many pounds of
turkey do I need to buy?

Answers

56 pounds of turkey
Other Questions
Hacer un resumen de el cuento "cirugia qsiquica de extirpacion" de Macedonio Fernandez A weather forecaster reported that the total amount of rainfall for the month was 0.75 inch. He also reported that this amount was 0.55 inch below the average of rainfall for the same month during the last ten years. The forecaster summarized his findings in this table. Rainfall FindingsAmount of rainfall for the month: 0.75 inchCompared to the average amount of rainfall for the month: -0.55 inchWhat was the average amount of rainfall, in inches, for this month during the last ten years? write an essay about important of female education. b.Maria's cal gets 23 miles to the gallon. How many miles is her round trip to work Which action best demonstrates the transformation of mechanical energy to heat energy? digesting a meal burning a candle rubbing hands vigorously melting a piece of ice in sunlight ESSAY:What do you think is the importance of knowing the background of israel in your faith to jesus christ? How are food webs related to energy flow within an ecosystem? How did the development of agriculture in Mesopotamia lead to the development of writing? Noah and James are each paid $15 per hour. However, this week Noah received a $60 bonus. Given that N and J represent the number of hours worked by Noah (N) and James (J), which expression can be used to represent their combined earnings for the week? State whether the following ratios are proportional.1) 2:3 and 4:62) 1:4 and 6:183) 3:5 and 1:34) 2:5 and 8:205) 4:9 and 12:276) 6:15 and 2:5 Conjugate the verb given below to theImperfect tense:Nosotros(escribir)A. escribimosB. escribirC. escribamos Which country was irritated when colonists began shipping through New Netherland to avoid its taxes and regulations Which one is an example of heterozygous?YyYY Answer my questions. For the ones who know Spanish and speaks Spanish. Plzzzz Assuming that the chinese population continues to grow. What is the point slope form of m=-2;(1,2).I NEED HELP ASAP PLEASE. NO LINK. -2/5x - 9 < 9/10Show work used to solve please :) What is the equation for the following table?Time (hr) 2 4 5 9Pay ($) 16 32 40 72Question 5 options:y=1/8xy=2xy=8xy=16xPLEASE HELP ILL MARK BRAINLIEST The sales tax rate in a certain city is 8%. Find the tax charged on a purchase of $600, and the total cost. please help, all i need is the answer i think this is 7th grade