In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if: m∠A = α, m∠B = β

Answers

Answer 1

The angle at D which is m∠ADB is calculated to be  180 - ( α + β ) / 2

How to find  < ADB

Given data

< A = α

∠ B = β

Angle bisectors divides the given angle into two and form a triangle which is ∆ADB

The angles that form ∆ADB are as follows

< A =  α / 2

∠ B = β / 2

to find < D we use sum of angles in a triangle which is 180 degrees and solve as follows

< A + < B + < D = 180 degrees

where < D = m∠ADB, substituting the other values gives

α / 2 + β / 2 +  < D  = 180

( α + β ) / 2  +  < D  = 180

< D  = 180 - ( α + β ) / 2

Since < D = m∠ADB .We can therefore say that m∠ADB =  180 - ( α + β ) / 2

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Related Questions

A customer purchased a total of 16 washcloths and towels. Each washcloth costs $10.50 and each towel cost $15.00. The customer spent a total of 226.50. How many washcloths did the customer buy? (pls help me!)

Answers

3 washcloths and 13 towels

towels: 13x15= 195
washcloths: 3x10.5= 31.5

195 + 31.5 = $226.50

the customer bought 3 washcloths !

Function g(x) has a removable discontinuity at x = c, where g(c) is undefined. Which statement describes the one-sided limits at x = c?

Answers

Answer:

B

Step-by-step explanation:

The function that describes the one-sided limits at x = c.

[tex]\lim_{x \to c^-} g(x) = a\\\\ \lim_{x \to c^-} g(x) = a[/tex]  ( for some value of a).

What is removable discontinuity?

A discontinuity is removable if the limit of the function at the point of discontinuity exists and the value of the function exists but they aren't equal to each other.

We can remove that discontinuity by making the value of the function equate to the limiting value of the function at that point.

Function g(x) has a removable discontinuity at x = c,

where g(c) is undefined.

In this case, the statement that's is true for g(x) is that you can remove the discontinuity at x = c by defining g(c) = a.

The function that describes the one-sided limits at x = c.

[tex]\lim_{x \to c^-} g(x) = a\\\\ \lim_{x \to c^-} g(x) = a[/tex]  ( for some value of a).

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What ratio is equivalent to 5 to 4

Answers

8:10 16:20 and well yea

Find x to the nearest tenth

Answers

Answer:

15.1

Step-by-step explanation:

I will give you brainlist and 5 stars if you answer :))

Answers

Answer:

I'm going to assume the question is asking for a unit rate, and it would be 2 minutes per bag

Step-by-step explanation:

Pls help me -.-" Mike surveyed 250 teenagers to find out their favorite food. He found that 76% of the teenagers surveyed like burgers. Part A: How many teenagers surveyed like burgers? Show your work. (4 points) Part B: In another survey, Jane found that 25% of the total number of teenagers surveyed like sandwiches. If 50 teenagers like sandwiches, what is the total number of teenagers that Jane surveyed? Show your work. (4 points) Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)

Answers

Answer:

A. 190 Teenagers

B. 200 Teenagers

C. A situation where we can have percentage greater than 100 % is found during increase in growth of population

Step-by-step explanation:

Part A.

Mike surveyed 250 teenagers to find out their favorite food. He found that 76% of the teenagers surveyed like burgers. Part How many teenagers surveyed like burgers?

We were told from the question, 76% of the teenagers surveyed loved burgers.

Total number of teenagers = 250

Therefore, the number of teenagers surveyed that loved burgers =

76/100 × 250

= 190 teenagers

Part B: In another survey, Jane found that 25% of the total number of teenagers surveyed like sandwiches. If 50 teenagers like sandwiches, what is the total number of teenagers that Jane surveyed?

Let the total number of teenagers surveyed be represented by x

Therefore,

25% of x = 50 teenagers

25/100 × x = 50

25x/100 = 50

Cross Multiply

25x = 100 × 50

25x = 5000

x = 5000/25

x = 200

Therefore, 200 teenagers were surveyed

Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)

A situation where we can have percentage greater than 100 % is found during increase in growth of population

Answer:

Mark above brainiest!

Step-by-step explanation:

You cant make brainly without a second answer! ;] So mark them brainly!

Can someone help me with these pls : ( I'm confused

Answers

Answer:

xy=3

QR =12

Step-by-step explanation:

Answer:

Step-by-step explanation:

XY is 3 (B)

QR is 12 (B)

Brainliest? Have a good day!

determine the rate of change for the graph from 2010 to 2012​

Answers

Answer:

B)-20 students per year

A model rocket is launched from the top of a building. The height (in meters) of the
rocket above the ground is given by f (t) = -4t² + 16+ + 12 where t is the time (in
seconds) since the rocket was launched.

Answers

Answer:

boba

Step-by-step explanation:

asbgd  hdjdjn126 = 57 round it to 58

1) What was an advantage the British forces had during the war?


2) What was a disadvantage for the British?


3) What was an advantage for the American forces?


4) What was one disadvantage for the Americans? HELP QUICK

Answers

(I’m assuming this is the Revolutionary War)
1. They had a fully formed government and powerful empire
2. They were fighting in an area that was 3,000 miles away from their home country
3. They knew the layout of the land
4. Their currency was far worse than that of the British, and they didn’t have access to gold which was a universal currency

Answer:

1. They had a fully formed government and powerful empire

2. They were fighting in an area that was 3,000 miles away from their home country

3. They knew the layout of the land

4. Their currency was far worse than that of the British, and they didn't have access to gold which was a universal currency

Find the mode of the data. 8,4,5,3,4,5,3,7,6​

Answers

Answer:

3,4,5

Step-by-step explanation:

appear mutiple times

Mode= 4, 5, 3

this is mode for the data because To find the mode, or modal value,it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode...hope this helps

Which variable represents the Constant of Proportionality (COP)

х
у
K
f

Answers

Answer:

k

Step-by-step explanation:

The equation representing proportion is

y = kx ← k is the constant of proportionality

I will give brainlist if you answer all these questions please! I promise I will :))

Answers

2. C
3. C
4. C

(all answers are c)

Out of 90 candies, 30% are chocolate candies. How many candies are chocolate candies

Answers

Answer:

27 candies are chocolate candies.

Step-by-step explanation:

What we need to do is find 30% of 90, since this number will be the number of chocolate candies.

30% of 90 is basically 3/10 (30%) of 90:

(3/10) x 90 = 27

There are 27 chocolate candies.

Answer:

27

Step-by-step explanation:

it is as simple as 3*90÷10

You and some friends go to a book fair where booths are set out in rows. You
buy drinks at the refreshment stand and then walk 8 rows north and 2 rows
east to the science fiction booth. Then you walk 1 row south and 2 rows west
to the children's book booth. Where is the children's book booth in relation to
the refreshment stand?

Answers

Answer:

7 rows north of refreshment stand

Step-by-step explanation:

8 rows north and then 2 rows east followed by 1 row south and then 2 rows west will put you directly north of the refreshment stand but since you have traveled one row south, it will be 8-1 = 7 rows north of the refreshment stand

The attached graphic may help you understand better

Hope that helps

It takes 1/3 cup of rice to make one serving. How many servings of rice can you make with 4 cups? pls answer I will mark brainliest

Answers

I would say twelve i think

duuno

Finding the slope of the line.

Answers

C. 11/8

20-9 = 11
12-4 = 8

Mr. R's kindergarten class has 22 students. There are 2 more girls than boys in his class. How many boys are there?

let x=
let y=

Answers

Answer:

13

Step-by-step explanation:

If we want to find out if there are an equal amount of boys and girls, then we do 22/2 which is 11. BUT, it says there are two more girls than boys. So...

11+2 since there are two more boys than girls. 11+2=13 girls.

Please help ASAP!!!!!!

Answers

Answer:

the third one i think :p

Step-by-step explanation:

Can someone explain step by step process

Answers

Answer:

Step-by-step explanation:

3*7*10*10*10*10*10*10*10

(5+2=7)(since is multiplication you add)

21*[tex]10^{7}[/tex]=B

2*10*10*10*10*10

4*10*10

(5-2=3)(since is division you subtract)

0.5*[tex]10^{3}[/tex]=c

Due to a late summer drought, the change in water level (in feet) in the pond behind Eastview is falling
every day. The Science Club made a graph of the water level over time.
They found the y-intercept to be (0,26). They determined the x-intercept to be (52,0).
Thoroughly explain the meaning of the x-intercept. (Use a full sentence that includes the values of that
intercept.)

Answers

Answer:

The x-intercept represents when the water level of the Eastview pond. This shows that the Eastview pond's water level reached 0 at 52 (days/years/hours/minutes... etc).

BRAINLIEST!!! Which graph shows a dilation?

Answers

it’s the second one because it’s 2x the measurement of the smaller graph

Mr. Rodriguez is packing bags of snacks for his children’s lunchboxes. If he has 20 blueberries and 30 grapes, what is the maximum number of bags of snacks that he can pack so that each bag has the same number of blueberries and grapes?
5 bags
10 bags
50 bags
60 bags

Answers

Answer:

10bags

Step-by-step explanation:

Answer:

10 bags.

Step-by-step explanation:

I got it right on my quiz- Edge2020


Question8: Find the miss
exponent (y)
(3x³)(4x³) = 12x¹2

Answers

Answer: 12x⁶

Step-by-step explanation:

[tex](3x^3)(4x^3)=\\\\(3)(4)(x^3)(x^3)=\\\\12x^{3+3}=\\\\12x^6[/tex]

if you 3.50$ and you need to buy buttons, the buttons cost .85cents how many buttons can you buy? HURRY ITS DUE IN 30!

Answers

Answer:

4 buttons

Step-by-step explanation:

first divide 3.5 by 0.85 and you will be able to buy at most 4 buttons, as you can't include a decimal of a button

Answer:

4

Step-by-step explanation:

Will someone please help me with this problem, and if you can will you show me step by step.

slope = undefined & x-intercept = -13

Answers

The linear equation with undefined slope and an x-intercept of -13 is:

x = -13

Which is the equation of the line with an undefined slope and x-intercept of -13?

The general linear equation is written as:

y = a*x + b

Where a is the slope and b is the intercept of the y-axis.

And undefined slope is used only for vertical lines, where the slope (technically) tends to infinite.

These lines are of the form x = K, where K is a real number. (so we have x = constant)

And we know that the x-intercept is at x equal -13, with that we can conclude that the constant will be equal to -13, then the equation of the line is:

x = -13.

If you want to learn more about linear equations:

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√72
Plzzzzzzzz help
I have 3 more
√619
√77
√89

Answers

Answer:

[tex]\sqrt{72} =8.48528\\\sqrt{619} =24.8797\\\sqrt{77} =8.77496\\\sqrt{89} =9.43398[/tex]

Step-by-step explanation:

hope this helps :)

Five less than six times a number is
the same as seven.

Answers

Answer:

2

Step-by-step explanation:

hope this helps

the equation stated is 5-6x=7, so x = -1/3. i got this by subtracting the 5 on both sides, and the dividing by -6

Natalia earns a base salary of $210 each week as a waitress. She usually makes an additional 15% in tips on all orders. Natalia has set a goal to make $1,000 each week. What inequality can she use to calculate x , the total dollar amount of orders needed for her to meet her goal?

Answers

Answer:

The inequality that she can use to calculate x, the total dollar amount of orders needed for her to meet her goal is: 210+0.15x≥1,000.

Step-by-step explanation:

The amount that Natalie makes each week is the result of adding up the base salary she earns plus the result of multiplying the dollar amount of orders for 15% and this result should be greater than or equal to $1,000, which would be:

210+0.15x≥1,000

Now, you can solve for x:

x≥(1,000-210)/0.15

x≥5,267

According to this, the answer is that the inequality that she can use to calculate x, the total dollar amount of orders needed for her to meet her goal is: 210+0.15x≥1,000.

6v^2+13v-8= −3 solve the equation for all real solutions

Answers

Answer:

v = -5/2, 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Standard Form: ax² + bx + c = 0FactoringQuadratic Binomial Roots

Step-by-step explanation:

Step 1: Define

6v² + 13v - 8 = -3

Step 2: Solve for v

Add 3 to both sides:                        6v² + 13v - 5 = 0Factor:                                              (2v + 5)(3x - 1) = 0Find roots:                                        v = -5/2, 1/3
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