In ΔABC, ∠A = 50° and the external bisectors of ∠B and ∠C meet at O as shown in figure. The measure of ∠BOC is

In ABC, A = 50 And The External Bisectors Of B And C Meet At O As Shown In Figure. The Measure Of BOC

Answers

Answer 1

Answer:

17

Step-by-step explanation:

Look at Triangle ABC, The rays meet at line BC and they are both from the interior point A. So this means that AB=AC. This makes ABC a isosceles triangle. Using the isosceles triangle theorem, Angle B and Angle C measure is equal to each other so

[tex]50 + x + x = 180[/tex]

[tex]50 + 2x = 180[/tex]

[tex]2x = 130[/tex]

[tex]x = 65[/tex]

This means angle b and C of the triangle ABC measure is 65.

External bisector bisect a figure that it makes the original angle split into half that they are equal to each other.

This means the angle below Angle B and angle C measure is 32.5. We can find the measure of Angle B and C in triangle BOC. This is a isosceles triangle as well so

[tex]32.5 + 65 + x = 180[/tex]

[tex]98.5 + x = 180[/tex]

[tex]x = 81.5[/tex]

Angle C is 81.5 as well so

[tex]81.5 + 81.5 = 163[/tex]

Find angle o

[tex]180 - 163 = 17[/tex]


Related Questions

Asha found that a vertical line intersects the graph of x = StartAbsoluteValue y EndAbsoluteValue at two points. What can Asha conclude about x = StartAbsoluteValue y EndAbsoluteValue?
It is a function of x but not a relation.
It is a relation but not a function of x.
It is both a function of x and a relation.
It is neither a function of x nor a relation.

Answers

Answer:

B

Step-by-step explanation:

Answer:

B) It is a relation but not a function of X

Explanation:

What Asha did was the vertical line test. This is a test to see if something is a function or not. Since a function can only have one output per input, if the vertical line intersects twice, it is not a function. However it is still a relation. A relation doesn't have to fit the rule that one output only has one input.

please help ASAP geometry

Answers

Answer:

A' (-6,12)

B' (9,9)

C' (-3,0)

Answered by GAUTHMATH

Find the perimeter of a quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3). Round your answer to the nearest hundredth when necessary.

Answers

Answer: the perimeter is 20

Step-by-step explanation:

Distance between C and D

Sqrt (-2-1)^2 + (1- -3)^2=

Sqrt -3^2 + 4^2=

Sqrt 25 = 5

Between D and E

Sqrt(5-2)^2+(0-4)^2=

Sqrt 25 = 5

Between E and F

Sqrt(1-5)^2+(-3-0)^2=

Sqrt 25=5

It is a square

The value of the perimeter of a quadrilateral is, 20 units

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

Vertices are,

C (- 2, 1), D (2, 4), E (5, 0), and F (1, - 3).

Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, We get;

CD = √(- 2 - 2)² + (1 - 4)²

CD = √16 + 9

CD = √25

CD = 5

DE = √( 2 - 5)² + (4 - 0)²

DE = √9 + 16

DE = √25

DE = 5

EF = √(5 - 1)² + (0 + 3)²

EF = √16 + 9

EF = √25

EF = 5

FC = √(- 2 - 1)² + (1 + 3)²

FC = √9 + 16

FC = 5

Thus, The value of the perimeter of a quadrilateral is,

CD + DE + EF + FC

5 + 5 + 5 + 5

20 units

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ2


Find the value of x in the parallelogram.


Answers

Answer:

75

Step-by-step explanation:

Since the two angles are on the same side of the parallelogram, they're supplementary.

x + (2x - 45) = 180

3x - 45 = 180

3x = 225

x = 75

On a spinner I have a 0.1% chance of getting a 5. How many times do I need to spin to get 5?

Answers

Answer:

[tex]\frac{1}{10} * \frac{1}{100} = \frac{1}{1000}[/tex]

1000 times

Step-by-step explanation:

Answer:

0.1% = 1 spin then

100% = ( 100×1) ÷0.1 = 1000

we are using 100% because its a sure bet it will happen but not logically

the answer is 1000

please help
solve for u
5u^2=-3u+2

Answers

U=-2/5, 1, hope this helps!

hlpppppppppppppppppppppppppppppppppp

Answers

Answer:

4th quadrant

Step-by-step explanation:

quadrant 4 is (+,-)

Answer:

It is the 4th quadrant!

Step-by-step explanation:

Hope it helps! ;D

Vectors a = (1,0) and b= (1,1) are given. For what λ vector a + λb is perpendicular to vector a?

Answers

Answer:

-1

Step-by-step explanation:

Vector a=(1,0) if visualized as a line has points (0,0) and (1,0). This means the line is horizontal and has equation y=0.

This means we are looking for a vertical line.

Instead of lambda, I'm going to use u.

So we want a+ub=(1,0)+u(1,1). to vertical. If we visualize this as a line with points (0,0) and (1+u,u). We would need u=-1 so this would be vertical.

So vectors a=(1,0) and a+ub=(1,0)+u(1,1) are perpendicular for u=-1.

So we are saying vectors (1,0) and (0,-1) are perpendicular. If you draw these, you can get a visual confirmation.

The value of λ is -1 and is perpendicular to vector a.

What is Vector?

A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.

We have,

Vector a = (1, 0) and b = (1, 1).

Here the vector is visualized as line is horizontal and has equation y=0.

Now, we have a + λb is perpendicular to vector a.

So, a + λb = (1, 0) + λ(1, 1)

                 = (1 + λ, 1)

Now, to get the vertical component we must have λ= -1.

Then, a(1, 0) and a+λb= (1,0)+ λ(1, ) are perpendicular to λ=-1.

Learn more about Vector here:

https://brainly.com/question/29740341

#SPJ3

Find the volume of this sphere please

As soon as possible.

Answers

Answer:   30

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

Explanation:

"Use 3 for pi" is something I've never seen a teacher do before. Usually it's "use 3.14 for pi".

Anyway, the diameter of this cylinder is 2 inches, which cuts in half to 1 inch. This is the radius.

The height is 10 inches.

So we have r = 1 and h = 10

V = pi*r^2*h

V = 3*1^2*10

V = 30 cubic inches approximately

Answer:

V = 30

Step-by-step explanation:

1. lets find the radius

r = 1/2 diameter

2/2 = 1

r = 1

2. plug in our info into the equation!!!- using 3 for pi as said in the question

V = (pi) r^2 h

V = (3)*(1)^2*(10)

3. solve

V = 30

6 less than the product of 5 and a number
A. 5-6n
B. 6+5n
C. 5(n - 6)
D. 5n-6

Answers

Answer:

D.

Step-by-step explanation:

5 times a number is 5n. We need to subtract 6 from that, so we have 5n-6 for any value n.

Answer:

D. 5n - 6

Step-by-step explanation:

6 less means -6

The product of 5 and a number means 5 x n which is the same as 5n

And it wants us to subtract 6 from 5n

so we would write it as...

5n - 6

Today, 6 friends went out for lunch. Their total bill was $27.60, including tax and gratuity. They decided to split the bill equally and each paid with a $10 bill. How much money will each person get back?

Answers

Step-by-step explanation:

Right, okay, so this is a bit of a weird one. Let's go step by step.

"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.

"Their total bill was $27.60" = so is the number 27.6

"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6

"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.

"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).

To put it all into a full equation...

10 - ( 27.6 / 6 )

Divide.

10 - 4.6

Subtract.

5.4

Put back into money form.

$5.40

Answer:

Each person will get back $5.40.

Answer:

if each paid a $10 bill, in total they paid $60 (cuz 10 x 6)

60 - 27.60 = 32.4

32.4/6 = 5.4 (divide the change between 6 people)

Each person will get $5.40 back.

hope it helps :)

In an IQ test, 4 marks are given for every correct answer and 2 marks are deducted for every wrong answer. If Crystal answered 30 questions and scored 84 marks, how many of her answer were correct?​

Answers

It’s 18 because
4x30=120
120-84=36
36/2=18
So the correct answer is 18.

can someone help me with this

Answers

Answer:

Infenitely many solutions

Given m||n, find the value of x.
t
(9x+23)
m
(10x+6)
an
Answer:
Submit Answer
attempt 1 out of 2
Pls help I’ve already got it wrong once

Answers

Answer:

x=17

Step-by-step explanation:

These are alternate interior angles and alternate interior angles are equal when the lines are parallel

9x+23= 10x+6

Subtract 9x from each side

9x+23 -9x= 10x-9x+6

23 = x+6

Subtract 6 from each side

23-6 = x+6-6

17 =x

I don't understand this at all ( PICTURE ) please help with a simple explanation if you can. 15 Points and Marking Brainliest, Reporting fakes.

Answers

I hope u all know these are a series of bot accounts

PLEAS HELP ASAP Fill in the missing probabilities on your paper and then answer the questions below. Make sure to type the ZERO before the decimal point. (example: 0.3 rather than .3) Give exact answers - do not round. please please please please help

Answers

This question is solved using probability concepts. We derive the probabilities from the tree given in the exercise, and with this, added to the use of conditional probability, we get the desired probabilities.

The probabilities are:

P(A) = 0.7, P(A and B) = 0.14, P(B) = 0.26, P(A or B) = 0.82, P(not B given A) = 0.8

Conditional probability:

In this problem, conditional probability concepts are used, and for this, we have that:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

P(A)

At the first node, we have that:

P(A) = 0.7

P(A and B):

From the first node, we have that [tex]P(A) = 0.7[/tex]

From A to B, there is 0.2, which means that [tex]P(B|A) = 0.2[/tex]

Thus

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]0.2 = \frac{P(A \cap B)}{0.7}[/tex]

[tex]P(A \cap B) = 0.7*0.2 = 0.14[/tex]

So

P(A and B) = 0.14

P(B):

P(B) = P(A and B) + P(not A and B).

P(not A) = 0.3, P(B|not A) = 0.4, then:

[tex]P(not A and B) = 0.3*0.4 = 0.12[/tex]

P(B) = 0.14 + 0.12 = 0.26

P(A or B)

We have that:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

We already have the three of them, so just replace:

[tex]P(A \cup B) = 0.7 + 0.26 - 0.14 = 0.82[/tex]

Then

P(A or B) = 0.82

P(not B given A)

If A happens, either B happens, or it does not. That is:

P(B|A) + P(not B|A) = 1

Since P(B|A) = 0.2

P(not B|A) = 1 - 0.2 = 0.8

Then

P(not B given A) = 0.8

To take another look at conditional probability, you can check https://brainly.com/question/24161830

If m2 DOC = 44º and m2 COB = 80°,
find the measure of the indicated arc
in circle o.
mCB = [?]°

Answers

Answer:

80°

Step-by-step explanation:

m<COB = 80°, it's the central angle for arc CB,

so mCB = 80°


A package of 3 pairs of insulated gloves costs $26.07. What is the unit price of the pairs of
gloves?

Answers

Answer:

8.69 per pair

Step-by-step explanation:

Take the total cost and divide by the number of pairs

26.07 /3

8.69 per pair

The answer would be $8.69 because you divide the total price by the number of items you have

can someone please help me out marking brainliest

Answers

Vas happenin!
Hope your day is going well
2. C
3. B
4. A
5. D
6. A
Hope this helps *smiles*
Sorry if it’s wrong

Copy and complete the table.

Answers

Answer:

See pic below.

Step-by-step explanation:

Help please anyoneee

Answers

Answer:

here's the answer to your question

Eve got home from school at 2:20 P.M. And played video games for 17 minutes. Then she helped clean the kitchen for 1 hour and 1 minute and spent 1 hour and 7 minutes finishing her homework. What time was it when Eve finished her homework?

Answers

Answer:

4 :45 pm

Step-by-step explanation:

2 : 20 + 17 minutes = 2:37

2:37 + 1hr 1 minute  = 3 : 38

3 : 38 + 1 hr 7 = 4 :45 pm

Which answer choice correctly solves for a and b?

Answers

Answer:

C

Step-by-step explanation:

Using the sine ratio and the exact value sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex]  = [tex]\frac{6}{a}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

a = 6[tex]\sqrt{2}[/tex]

Using the tangent ratio and the exact value tan45° = 1 , then

tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{6}{b}[/tex] = 1 , so

b = 6

pls help. i will give brainliest

Answers

Answer:

247 = j - 285

Step-by-step explanation:

Anything that is labeled with "is" will be what the entire equation is equal to. (Also because the instructions are asking for an equation which is equal to something). Also, fewer than is the subtraction of two things. In this case it will be 285 and j. In the end the equation will be:

247 = j - 285

Hope this helped.

5. Which of the following pairs of operations solve the equation 3x + 5 = 17?
a. subtract 5 then divide by 3
b. divide by 3 then subtract 5
c. add five then multiply by 3
d. multiply by 3 then add five

Answers

Answer:

a

Step-by-step explanation:

3x+5=17

3x=17-5

3x=12

x=4

I am really bad at algebra please help!!
I need it now please with explanation ☺️​

Answers

Answer:

E. 7x

Step-by-step explanation:

3x plus 4x is equal to 7x because they both have the same terms and when added cannot the X of 3x and 4x cannot be joined together .

So they remain the same.

(e) 12x

(f) 12x²

(g) 12x²

(h) 1x

(I) 2x²

(J) 2x²

(K) -10x

(L) -20x

(M) 6x²

(N) 20x²

(O) -15x²

(P) -12x³

Your answers were wrong so i did all of them

Quick tip the power comes only when you multiply and not when you add

For example x + x = 2x

x × x = x²

All the answers

Must click thanks and mark brainliest

Write a function rule for the table. (Help please)
is it a,b,c or d

Answers

c. f(x)=x+1 because everytime there is 1 added to the original value

$60 is shared between Ali, Ben and Carol in the ratio of 5 :3 : Z How much does Ben get?

Answers

Answer:

the answer is 100:60:40 hope it helps

what is this please tell answer​

Answers

Answer:

x=6, y=4, z=8

(c) 6

I hope this is helpful!

Someone help me please

Answers

Answer:

16 cows

Step-by-step explanation:

i just guessed and checked using

4*cow heads + 2 * geese heads

i got 16 cows and 47 geese

Other Questions
Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75. What is the measure of angle CFD? How does a computer work? Explain with an example. relate the pH of a solution to its hydronium and hydroxyl ion concentration and its acidity or basicity brain list if your answer is good Name one diatomic compound which is mononuclei PLS HELP WILL GIVE BRAINLY!!A triangle has sides that measure 4 units, 6 units, and 7.21 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3.14 for , and round your answer to the nearest whole number. 17 units2 24 units2 54 units2 94 units2 Please,look at this one. Shown below is a piece of information on the sale of passenger vehicles that appeared in a newspaper. How many multi purpose vehicles were sold in the year 2006? Tira el baln con el pie.el bisbolel ftbolel baloncesto please help mee i will mark you brainliest Which expression is equivalent to (3a)2? Which of the following graphs best represents the solution to the pair of equations below?y = x + 6y = 2x 3 can i get some help on this question please? ASAP!! help me out .... I will mark u as brilliant students Given the following matrices, what 3 elements make up the first column of the product matrix DA? Which point is on the graph of f(x) = 3 4X? An expression is shown below:6x2y 3xy 24xy2 + 12y2Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)Part B: Factor the entire expression completely. Show the steps of your work. (6 points) 1. When we watch TV in my house, my older brother always has the _________ in his hand.2. I always watch the news on TV3. It`s my favorite _____________________.3. If you want to see British television in my country, you need to install_________________.4. We have two TV_________________ in the house: a small one in the kitchen and a big one in the living room.5. I know someone who was on a _____________once. He answered all the questions correctly and won a big prize.6.Im watching a____________________about the Russian Revolution right now. The actors are great, and there are only According to an informal 1992 survey, the drinking water in about one-third of the homes in Chicago had lead levels of about 10 ppb. Dr. Koether lived in Chicago from 1996 to 1998. Assuming she drank 1.4 L of water a day, calculate the total amount of lead in mg (using one decimal place) that she was exposed to over the two years if she lived in a home that had such high levels of lead. DNA is referred to as a______, meaning that it hasstrands that are______together. Which expressions are equivalent to3(6+b) + 2b+1?Select 2 answers.Step 1 - Use the distributive property and pick your firstanswerStep 2 - Combine like terms and pick your secondanswer