What is the measure of ∠ABD?

What Is The Measure Of ABD?

Answers

Answer 1

Answer:

m∠ABD = 114°

Step-by-step explanation:

Given measurements of interior angles are:

m∠D = 2n°

m∠C = 60°

m∠ABD = (4n+6)°

The measurement of exterior angle of a triangle is equal to the sum of two opposite interior angles.

This can be mathematically expressed as:

m∠ABD = m∠C+m∠D

Putting the respective values

[tex]4n+6 = 2n+60\\4n-2n+6 = 60\\2n+6 = 60\\2n = 60-6\\2n = 54\\\frac{2n}{2} = \frac{54}{2}\\n = 27[/tex]

Putting n=27 in (4n+6)°

[tex]=4(27) + 6\\= 108+6 = 114[/tex]

Hence,

m∠ABD = 114°


Related Questions

The sum of three numbers is 110. The third number is 3 times the first. The second number is 5 more than the first. What are the numbers?

Please help me I've been trying to figure it out for a while but I cant

Answers

Answer:

The numbers are 63, 26, & 21

Step-by-step explanation:

110 = 3x + (5 + x) + x

105 = 3x + 2x

105 = 5x

21 = x

Plug it back into the first equation to find your values

Which of the following numbers can be expressed as repeating decimals? (5 points)

3 over 7 , 2 over 5 , 3 over 4 , 2 over 9 How can 38 over 6 be expressed as a decimal?

Answers

9514 1404 393

Answer:

  Repeating decimals:

3/72/9

  38/6 = 6.3_3   (repeating 3)

Step-by-step explanation:

  [tex]\dfrac{3}{7}=0.\overline{428571} \quad\text{repea}\text{ting decimal}\\\\\dfrac{2}{5}=0.4\\\\\dfrac{3}{4}=0.75\\\\\dfrac{2}{9}=0.\overline{2}\quad\text{repea}\text{ting decimal}[/tex]

The improper fraction 38/6 = 19/3 = 6 1/3. As a decimal, this is ...

  [tex]\dfrac{19}{3}=6.\overline{3}\quad\text{repea}\text{ting decimal}[/tex]

_____

The repeating part of a decimal fraction is conventionally written with an overbar, as shown in the typeset content above. In plain text, it is sometimes written with an underscore preceding the repeating digits.

What addition statement does this show?

Answers

Answer:

B

Step-by-step explanation:

Its obvious

Answer: 5プラスマイナス6はマイナス1です。

Step-by-step explanation:

Convert the following Standard Form Equations into Slope Intercept Form.
2x-y=15

Answers

Answer:   y=2x-15

Step-by-step explanation:

P(x) = (x + 2)(2x - 3)(4x + 7)
What is the coefficient

Answers

Answer:

Step-by-step explanation: 2x and 4x

Solve and identify the graph of each inequality.

Answers

Answer:

i)X IS smaller than -11

ii)

X Is greater than-10

iii)x is greater than 58/4

iv)x is smaller than 7

Step-by-step explanation:

answer are in this type

Determine the slope of the line:
1) L(8, -3), M(-4,-12)
2) R(2,-6), S(-6,5)​

Answers

Answer:

For 1 it's 9/16 as a slope and for 2 it's -11/8

Step-by-step explanation:

Use the slope formula

y2-y1/x2-x1

Answer:

1) 3/4

2) -11/8

pls mark brainliest if possible

Step-by-step explanation:

slope = rise/run = (y2-y1)/(x2-x1)

choose y2 and the corresponding x-coordinate is x2. then the others are the 1's.

1) let's use -3 as y2 which means:

x2 = 8

y1 = -12

x1 = -4

plug in values:

(-3-(-12))/(8-(-4))

= 9/12

= 3/4

2) let's use -6 as y2 which means:

y1 = 5

x1 = -6

x2 = 2

plug in values:

(-6-5)/(2-(-6))

= -11/8

Y=(x-4)^2+3
Write in standard form (show all steps)

Answers

I’m not gonna show my steps but the answer is Y= x^2-8x+19

Answer:

y = x² - 8x + 19

Step-by-step explanation:

The equation of a parabola in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

y = (x - 4)² + 3 ← expand parenthesis using FOIL

  = x² - 8x + 16 + 3

  = x² - 8x + 19 ← in standard form

PLS HELP WILL MARK BRAINLIEST AND SHOW WORK/DESCRIBE

Answers

Answer:

65

Step-by-step explanation:

20 + 15 + 15 + 15

Y = 15x + 5

X = each day (after the first) you are charged $15

15 + 5 is charged in the first day = 20

Y = Total

Your Y intercept is 5

Your slope is 15

Don’t go into negatives because money and time can’t be negative

3 Jerold's weekly pay rate is $865. He receives a 25% pay raise. How can Jerold calculate his
new weekly pay rate?

Answers

Step-by-step explanation:

When someone receives a "pay raise", that means that their income/salary increases.

Jerold earns $865 in one week. He receives a 25% pay raise. That means his income has increased by 25% of what he currently earns in one week. We can calculate the percentage of something by converting that percent into a decimal and multiplying it with the value that percent is being applied to.

We can do this two ways.

The first way, we can convert 25% into 0.25, and multiply that with 865:

0.25 × 865 = 216.25

Then, we add $216.25 to Jerold's old salary, $865:

$865 + $216.25 = $1081.25

The second way does everything in one step. When you multiply a number by 1, you always get that same number for the answer.

1 × 33 = 33, 1 × 382 = 382...

So, instead of multiplying by 0.25 and then adding that to Jerold's old salary, we can multiply by 1.25 instead (1, his original salary, + 0.25, the difference between his old and new salary),.

1.25 × $865 = $1081.25.

You can use either method to calculate the answer, but the second method is more efficient.

The required equation model to determine the new weekly pay rate is x = 865[1 + 25%] or x = 865[1.25].

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Jerold's weekly pay rate is $865. He receives a 25% pay raise.
Let the new weekly pay rate be x,
According to the question,
x = 865 + 25% of 865
x = 865[1  + 25%]
x = 865[1.25]
x = $1081.25

Thus, the required equation model to determine the new weekly pay rate is x = 865[1 + 25%] or x = 865[1.25].

Learn more about models here:
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Describe the transformation that takes f(x) = x+1 to g(x) = -x+4.

Answers

Answer:

Reflecting over the x-axis, vertical movement up 3 units.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Transformations of graphs

Step-by-step explanation:

Step 1: Define

f(x) = x + 1

g(x) = -x + 4

Step 2: Define

Multiplying -1 to x flips it over the x-axis, or known as a reflection. There is no vertical shrink/stretch.

To get to 1 to 4, we add 3. That means we will be moving the graph up 3 units.

Answer:

The sign on the 'x' changes, this implies a reflection.

g(x) = -f(x) = -(x+1) = -x -1

Now apply a vertical translation 'up 5' to f(x)

g(x) = -f(x) + 5 = (-x-1) +5 = -x +4

Hope this helps! <3

The local movie theater decided to raise the ticket price 25 ​%. The original ticket price was ​$12. Set up the percent equation to find the amount by which the ticket price rose. Then find the amount.

Answers

Answer:

y = 25% * 12

The second part - if you got that, the ticket price went up 3

Step-by-step explanation:

(Need ASP)
Divide.


(4x3+2x+1)÷(x+1)



4x2−4x+6+5x+1


4x2+4x−6−5x+1


4x2−4x+6−5x+1


4x2+4x+6−5x+1

Answers

Answer:

Step-by-step explanation:

(4x^3+2x+1)÷(x+1)

Using synthetic division is

4x^2-4x+6- 5/x+1

4x2+4x−6−5x+1 is the solution for (4x3+2x+1)÷(x+1)

What is Division?

A division is a process of splitting a specific amount into equal parts.

We need to solve,

(4x3+2x+1)÷(x+1)

We use Synthetic division,  Synthetic division is a shorthand method for dividing a polynomial by a linear factor such as x + 3, and it's much simpler and faster.

Step 1: Set up the synthetic division.

Step 2: Bring down the leading coefficient to the bottom row.

Step 3: Multiply  by the value just written on the bottom row.

Step 4: Add the column created in step 3.

We get 4x2+4x−6−5x+1.

To learn more on Division click:

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Evaluate the expression: 9 + 1-61- 1-3||

Answers

Answer:

-55

Step-by-step explanation:

PLS HELP ME THIS IS DUE IN A FEW HOURS(i need a graph too pls)
Lacey pays $15 for each hour of golf lessons and $10 for equipment rental. If the lesson is more than 3 hours long, she only pays $5 for equipment rental. Is the total cost of Lacey's lesson a function of the number of hours scheduled?

Answers

Answer:

Yes, the total cost of Lacey lesson is a split function of hours scheduled

Step-by-step explanation:

The amount Lacey pays for each hour of golf = $15

The amount Lacey pays for equipment rental = $10

The amount Lacy pays for equipment rental for a 3 hours long lesson = $5

Therefore, we have

Let C represent the total cost of Lacey lesson and let t represent the number of hours, we have;

C = $10 + t × $15 for 0 ≤ t ≤ 3

C = $5 + t × $15 for t > 3

Therefore, the total cost of Lacey lesson is a split function of hours scheduled

i know the answer just double checking
Expand
5(y+7)​

Answers

x=5(y+7) or x=5y+35
sorry if I’m wrong

6+(-1)+(-12) i will give brainllest

Answers

Answer: -7

Step-by-step explanation:

Adrian is going to the store and needs milk he needs 4 bottles of milk he has 14$ and each cost 4$ does he have enough money

Answers

4 * 4 = $16 for 4 milk
He does not have enough money :(

Step-by-step explanation:

No because he had 14 and needs 16

the equation y + 1 = 5(x + 6) equivalent to

Answers

Y + 1= 5x +30

Y= 5x + 31 answer

Step-by-step explanation:

y + 1 = 5(x + 6)

y + 1 = 5x +30

y = 5x +30 -1

y = 5x + 29

Of the following sets, which represent a function? Situation A = {student's name, all the colors that the student likes} Situation B = {student's name, names of all of the student's teachers} Only A Only B Both A and B Neither A nor B

Answers

Answer:

NEITHER A OR B

Step-by-step explanation:

The answer is Neither A nor B.

A relation that is a function is either one-to-one or many-to-one. An object in the first set must have only one image in the second set.

For Situation A, a student can like many colors. so this situation does not represent a mapping.

For Situation B, a student can have many teachers. This situation also does not represent a mapping.

So the answer is Neither A nor B.

Learn more about relations here: https://brainly.com/question/13395036

Johnny Awesome and his band is raising money to save the world. He is having a concert and charging
$75/ticket. The venue where he is having his fundraiser is charging him $7350 to have his concert there.
How much money will Johnny raise if 125 people purchase tickets? Help Please

Answers

Answer:

9375

Step-by-step explanation:

A bakery had 876 bags of sugar.
A baker used 25 of these bags to make pies.
How many bags does the bakery still have?
bags

Answers

876 - 25 = 851
The bakery still have 851 bags

Given that 2y²-x³=0 and y>0, find dy/dx​

Answers

Answer:

this is easy

Step-by-step explanation:

put it in

helpp

In the relationship below, the position of the circle changes according to the
height of the rectangle. Which expression below is the best choice to
describe this relationship in function notation?
A. C(p)
B. P(h)
C. Hp)
D. R(h)

Answers

The answer is c trust

Please solve number 2 and explain (12 points)

Answers

Answer:

1 cup of blue paint and 5 cups of yellow paint. (sorry im not to sure)

Step-by-step explanation:

a) 5 cups of yellow paint to 1 cup of blue paint because it has the same ratio 5/1 is equal to 10/2.
b) 3 cups of blue paint to 15 cups of yellow because the ratio 15/3= 5/1 making the same shade

Can y’all please help me out ??

Answers

Hope this helps. I need to put more word

PLZ HELP ME!!!
Mary got a job offer from milkalicious dairy farm they are only offering $11.25 an hour, but they are offering her a $1000 bonus if she moves to their company. What would the equation for this look like.

Answers

Answer: $11.25h + $1000

Don't really have enough information to create a full equation please answer with what the equation is trying to solve and I will try to help further.

Compare the expressions. Write , or = 21 - 3 + 8 31 - 14 - 6 =

Answers

Answer:

990

Step-by-step explanation:

21-3=18, 18+831=1011, 1011-14=996, 996-6=990

Help I need help ON THISSSS

Answers

Answer:

ms girll i think you multiply

Answer:

3. 147 [tex]ft^{3}[/tex]  4. [tex]\frac{160}{3} \pi[/tex] [tex]ft^{3}[/tex]

Step-by-step explanation:

3. Volume of a square pyramid = [tex](base.edge.length)^{2}[/tex] × [tex]\frac{height}{3}[/tex]

Variables:

V = volume

x = base edge length

h = height

V = [tex]x^{2}[/tex]  × [tex]\frac{h}{3}[/tex]

x = 7 ft

h = 9 ft

Plug the values in the equation:

V = [tex]7^{2}[/tex] × [tex]\frac{9}{3}[/tex]

V = 49 × 3

V = 147 [tex]ft^{3}[/tex]

4. Volume of cone = [tex]\pi r^{2} \frac{h}{3}[/tex]

Variables:

V = volume

r = radius

h = height

V = [tex]\pi r^{2} \frac{h}{3}[/tex]

r = 8ft /2 = 4 ft (radius is half of the diameter)

h = 10 ft

V =  [tex]\pi 4^{2} \frac{10}{3}[/tex]

V = [tex]\pi[/tex] × 16 × [tex]\frac{10}{3}[/tex]

V = [tex]\frac{160}{3} \pi[/tex] [tex]ft^{3}[/tex]

Simplify the expression:

5a - 2a + 9

Answers

Answer:

3a+9

Step-by-step explanation:

Answer:

3a+9

Step-by-step explanation:

5-2=3 then 3a=9 it pretty simple

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