m∠ABD is a straight angle m∠CBD=8x+16 m∠ABC=6x−60

MABD Is A Straight Angle MCBD=8x+16 MABC=6x60

Answers

Answer 1

Answer:[tex]36^{\circ}[/tex]

Step-by-step explanation:

A straight angle means that the angle has a measure of 180 degrees. Therefore:

[tex]CBD+ABC=180 \\\\(8x+16)+(6x-60)=180 \\\\14x-44=180\\\\14x=224\\\\x=16\\\\6x-60=6(16)-60=96-60=36[/tex]

Hope this helps!

Answer 2

Answer:

m∠ABC = 36 degrees

Step-by-step explanation:

8x + 16 + 6x - 60 = 180       Add both angles to equal 180

14x - 44 = 180

     + 44   + 44                     Add 44 to both sides

14x = 224                            Divide both sides by 14

x = 16

Plug this into the equation for angle ABC

6(16) - 60                             Multiply

96 - 60                                Subtract

m∠ABC = 36


Related Questions

Find the perimeter of a triangle with side lengths of
√80
√20, and √45​

Answers

To get the perimeter of anything you must add the side lengths together. Therefore you would get 20.125 as the answer or 9 and 5 squared.
The exact answer is=
20.125

Make x the subject of Y=4x+3

Answers

I’m not 100% sure this is correct, because I’ve never done these before, but try 12, this is the answer I got from a reliable app that I usually use

The value of x from the expression is,

⇒ x = 1/4 (Y - 3)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ Y = 4x + 3

Now, We can solve the expression for the value of x as;

⇒ Y = 4x + 3

Subtract 3, we get;

⇒ Y - 3 = 4x + 3 - 3

⇒ Y - 3 = 4x

Divide by 4;

⇒ (Y - 3) / 4= 4x/4

⇒ (Y - 3)/4 = x

⇒ x = 1/4 (Y - 3)

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Answers

Answer: ...

Step-by-step explanation:

In a random survey of 226 college students, 20% reported being "only" children (no siblings). The standard deviation is 2%.

Determine the confidence interval that is likely to contain the percent of all students nationwide who are only children.

Answers

Answer:

The confidence interval that is likely to contain the percent of all students nationwide who are only children is (0.1505,0.2554)

Step-by-step explanation:

Total number of students = n = 226

We are given that 20% reported being "only" children (no siblings).

Number of students being "only" children (no siblings) [tex]= 20\% \times 226=\frac{20}{100} \times 226=45.6\sim46[/tex]

So, x = 46

[tex]p=\frac{x}{n}=\frac{46}{226}=0.203[/tex]

Z at 95% is 1.96

Formula for confidence interval for sample proportion :

[tex]CI=p \pm Z \times \sqrt{\frac{p(1-p)}{n}}[/tex]

Substitute the values in the formula :

[tex]CI=0.203 \pm 1.96 \times \sqrt{\frac{0.203(1-0.203)}{226}}\\CI=(0.1505,0.2554)[/tex]

Hence  the confidence interval that is likely to contain the percent of all students nationwide who are only children is (0.1505,0.2554)

There are already 1,600 gallons of water in a swimming pool. If water is filling the pool at a rate of 25 gallons per minute, which expression indicates the amount of water, in gallons, in the swimming pool after m minutes?

Answers

The expression that indicates the amount of water, in gallons, in the swimming pool after m minutes is 1600 + 25m.

What is an expression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, there are already 1,600 gallons of water in a swimming pool and water is filling the pool at a rate of 25 gallons per minute.

Let m = number of minutes

The expression will be:

1600 + (25 × m)

1600 + 25m

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Which table represents exponential growth?

Answers

Answer:

You haven't linked any tables?

Step-by-step explanation:

Which of the sequences is an arithmetic sequence?

I need help!!!!

Answers

the answer is (A) is arithmetic

D. Because it is consistent.

What is 3/4 + 1/5 equal to?

Answers

Answer:

[tex]19/20[/tex]

Step-by-step explanation:

[tex]3/4+1/5[/tex]

[tex]15/20 + 4/20[/tex]

[tex]19/20[/tex]

Answer:

[tex] = \frac{19}{20} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} + \frac{1}{5} \\ \frac{15 + 4}{20} \\ = \frac{19}{20} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

determine the slope of a line that passes through A(-4, 7) and B(6,3)

Answers

Answer:

-2/5

Step-by-step explanation:

The slope is found by

m= (y2-y1)/(x2-x1)

   = (3-7)/(6 - -4)

   = -4/(6+4)

   - 4/(10)

    = -2/5

Answer:

[tex]m=\frac{-2}{5}[/tex]

Step-by-step explanation:

Use the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the numbers (coordinates) given, like so:

[tex]m=\frac{3-7}{6+4}[/tex]

[tex]m=\frac{-4}{10}[/tex]

Simplify:

[tex]m=\frac{-2}{5}[/tex]

16:07:48
marks:
Question: 1/20
The graph of which equation would be a circle with a center at
(2.3) and a radius of 7 ?
A. (x + 2y = (y - 3) = 7
B. (x - 2) = (y + 3) = 7
C. (x - 2y + (y + 3)2 = 49
D. (x - 2) - (y - 3)2 = 49
OB
Whats the correct choice?

Answers

Answer:

A. ( x + 2y = ( y - 3 ) = 7

maaf kalo salah

A square has a perimeter of 44cm. Calculate the area of the square.
The most relevant aka correct answer will get brainiest :)

Answers

Answer:

p = 44cm

perimeter of a square = 4l

44/4 = 11

area = l²

area = 11²

area = 121cm²

Step-by-step explanation:

Question of the day
Fill in the table of values below for the equation y=x+3
Х
у

Answers


x | y
———-
0 | 3

1 | 4

Slope: 1
Y-intercept: 3


Answer:

yuuurrrppp

Step-by-step explanation:

Solve 2y - 3 = 4y +6.
I
y=

Answers

Answer:

-9/2

Step-by-step explanation:

Begin by subtracting 2y from both sides

(2y - 2y) - 3 = (4y - 2y) + 6

-3 = 2y + 6

Then, subtract 6 from both sides

(-3 - 6) = 2y + (6 - 6)

-9 = 2y

Finally, divide by 2 on each side

(-9/2) = (2y/2)

y = -9/2

Which equations could you solve using the addition property of equality? Check all that apply. 4 + y = 100 y – 4 = 100 4y = 100 4 + 100 = y 100 = y – 5

Answers

Answer:

y-4=100 and 100=y-5

Step-by-step explanation:

Because the addition property of equality is: The property stating that adding the same number to both sides of an equation does not change the equation.

Equations are used to represent equal expressions

The equivalent equation of y + 4 = 100 is 4 + y = 100

How to determine the equations

The equation is given as:

y + 4 = 100

Rewrite the equation as follows:

4 + y = 100

Hence, the equivalent equation of y + 4 = 100 is 4 + y = 100

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A person invests 6500 dollars in a bank. The bank pays 7% interest compounded

quarterly. To the nearest tenth of a year, how long must the person leave the money

in the bank until it reaches 20100 dollars?

A= P(1 + -]nt

Answers

Answer:

t=16.2 years

Step-by-step explanation:

A=p(1+r/n)^nt

A=$20100

P=$6500

r=7%=0.07

n=4

t=?

t=ln(A/P)/n {ln(1+r/n)}

=ln(20100/6500) / 4{ln(1+0.07/4)}

=ln(3.0923)/4{ln(1+0.0175)}

=ln(3.0923)/4{ln(1.0175)}

=1.1289/4(0.0174)

=1.1289/0.0696

=16.23

To the nearest tenth

t=16.2 years

WILL MARK BRAINIEST ASAP PLEASE HELP!!!!!!!!!!!!!!11111 What is the coefficient of the c-term of the algebraic expression 14 a minus 72 r minus c minus 34 d? -34 -1 0 1

Answers

Answer:

The correct answer would be -1

Step-by-step explanation:

Answer:

-1 I believe

Step-by-step explanation:

Of the 650 students at westMoreland junior high ,80% will attend the field trip . How many students will attend the field trip ?

Answers

Answer:

520

Step-by-step explanation:multiply 650 by 80 amd then divide by 100

or simply multiply 650 by 0.8

520 number of students will attend the field trip.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that there are 650 students at westMoreland junior high.

80% of the students will attend the field trip.

We need to find the students will attend the field trip.

We need to find what is 80% of the 650.

firstly let us convert 80% to decimal by dividing 80 with 100.

80/100=0.8

Now multiply 0.8 with 650

0.8×650

Zero point eight × Six hundred fifty.

520

Hence, 520 number of students will attend the field trip.

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There are 32 students in Mrs. Nyer's class. This is 8% of the students in the
school. How many students are in the school?

Answers

The number of students in the school is 400 students. Set up a ratio and cross multiply.

Need help what’s the solution for b^2-14b=0

Answers

Answer:

b = 0   b = 14

Step-by-step explanation:

b^2-14b=0

Factor out a b

b(b-14) = 0

Using the zero product property

b =0  b-14=0

b = 0   b = 14

La base de una cartulina rectangular mide 8 cm de altura si le recortamos 3 cm a su altura el area de la nueva cartulina seria 126 cm calcula las dimenciones de la cartulina inicial

Answers

Answer:

[tex]w=8cm\\h=18.75cm[/tex]

Step-by-step explanation:

Let:

[tex]w=Width\\h=Initial\hspace{3}height\\h_m=Modified\hspace{3}height\\\\Where:\\\\h_m=h-3[/tex]

The area of the cardboard can be calculated using the formula to find the area of a rectangle:

[tex]A=w*h[/tex]

The area of the new cardboard would be:

[tex]A=w*h_m\\\\Where:\\\\w=8\\h_m=h-3\\A=126[/tex]

So:

[tex]126=8*(h-3)\\\\126=8h-24[/tex]

Solving for h:

[tex]126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm[/tex]

Therefore, the dimensions of the initial cardboard are:

[tex]w=8cm\\h=18.75cm[/tex]

Translation:

Sea:

[tex]w=Ancho\\h=Altura\hspace{3}inicial\\h_m=Altura\hspace{3}modificada\\\\Donde:\\\\h_m=h-3[/tex]

El área de la cartulina se puede calcular usando la fórmula para encontrar el área de un rectángulo:

[tex]A=w*h[/tex]

El área de la nueva cartulina sería:

[tex]A=w*h_m\\\\Donde:\\\\w=8\\h_m=h-3\\A=126[/tex]

Entonces:

[tex]126=8*(h-3)\\\\126=8h-24[/tex]

Resolviendo para h:

[tex]126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm[/tex]

Por lo tanto, las dimensiones de la cartulina inicial son:

[tex]w=8cm\\h=18.75cm[/tex]

can i get help please?? Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of Earth? (Use 3.14 for π) A. 2,512,000 miles B. 25,120 miles C. 1,256,000 miles D. 12,560 miles

Answers

Answer:

B

Step-by-step explanation:

Circumference is 3.14*d

Where d is the diameter.

3.14*8000

= 25120

The Earth has a circumference of 25120 miles approximately.

Answer:

B. 25,120 miles.

Step-by-step explanation:

Circumference = π * diameter

= 3.14 * 8000

= 25,120 miles.

Point A is the midpoint of side XZ and point B is the
midpoint of side YZ.
What is AX?
2 units
4 units
6 units
5x - 7
O 8 units
2x-2
X+1
B
A
Markandeur
Save and Exit
Et

Answers

Answer:

Option (2)

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Point A is the midpoint of side XZ and point B is the  midpoint of side YZ.

Triangle XYZ is cut by line segment AB. Point A is the midpoint of side XZ and point B is the midpoint of side YZ. The length of XY is (5x - 7), the length of AB is (x + 1), and the lengths of XA and ZA are (2x - 2). The lengths of YB and BZ are congruent.

What is AX ?

2 units

4 units

6 units

8 units

From the figure attached,

XYZ is a triangle having A and B as the midpoints of the sides XZ and YZ.

By the theorem of midpoints,

AB = [tex]\frac{1}{2}\text{(XY)}[/tex]

Since AB = (x + 1) and XY = (5x - 7)

(x + 1) = [tex]\frac{1}{2}(5x-7)[/tex]

2x + 2 = 5x - 7

5x - 2x = 2 + 7

3x = 9

x = 3

Therefore, side AB = 3 + 1 = 4 units

Side XY = (5x - 7)

             = 15 - 7

             = 8 units

Side XA = 2(x - 1)

              = 4 units

Therefore, Option (2) will be the answer.

What’s the error mica make?

Answers

Step-by-step explanation:

She should have added 2 to the 3, not 1 because on the right side, she added 1, but that was being multiplied by 2 so to balance the equation she should add 2 to the 3. Hope this helps!

You messed up by not adding 2 to the 3 ! Hope this helps!

Scott traveled and left his home on his bicycle and went 2 miles to the beach. The trip took him 15 minutes. He returned home the same way at a speed of 6 miles per hour. How many hours did it Scott take to get back home?

Answers

It took him 20 minutes to get home going 6 mph.

Is 6.584 a rational
number?

Answers

Answer:

Step-by-step explanation:

To get rid of the decimal point in the numerator, we count the numbers after the decimal in 6.584, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.

Therefore, in this case we multiply the numerator and denominator by 1000 to get the following fraction:  6584 / 1000

Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.

The GCD of 6584 and 1000 is 8. When we divide the numerator and denominator by 8, we get the following:  823 / 125

Therefore, 6.584 as a fraction is as follows:  823 / 125

Factor the given quadratic function x2 + 9x = 36.​

Answers

Answer:

(x + 12)(x - 3)

Step-by-step explanation:

[tex] {x}^{2} + 9x = 36 \\ {x}^{2} + 9x - 36 = 0 \\ {x}^{2} + 12x - 3x - 36 = 0 \\ x(x + 12) - 3(x + 12) = 0 \\ (x + 12)(x - 3) = 0[/tex]

Guillermo is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by g(x)=\dfrac{1}{20}x(x-100)g(x)= 20 1 ​ x(x−100)g, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 20, end fraction, x, left parenthesis, x, minus, 100, right parenthesis How many seconds after diving will Guillermo reach his lowest altitude?

Answers

Answer: 140

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

Khan academy answer

A gym offers three levels of membership based on the number of visits per month, as represented by the table. Kaleigh wants to know how much she will pay for her gym membership. Which graph represents the total monthly cost at the gym as a function of the number of visits Kaleigh plans to make each month?

Answers

Answer:

graph one

Step-by-step explanation:

Let

x ----> the number of visit per month

y ----> the total cost

we know that

Observing the table

1) For the interval of x equal to ----> [0,12]  (close circle both points)

The domain is all whole numbers greater than or equal to 0 visits and less than or equal to 12 visits

The value of y is

y=5x+15

For x=0 ----> y=$15

For x=12 ----> y=5(12)+15=$75

The range is the interval ----> [15,75] (close circle both points)

All real numbers greater than or equal to $15 and less than or equal to $75

2) For the interval of x equal to ---->(12,16] (open circle at left and close circle at right)

The domain is all whole numbers greater than 12 visits and less than or equal to 16 visits

The value of y is

y=4x+32

For x=12 ----> y=4(12)+32=$80

For x=16 ----> y=4(16)+32=$96

The range is the interval ----> (80,96] (open circle at left and close circle at right)

All real numbers greater than $80 and less than or equal to $96      

3) For the interval of x equal to ---->(16,24] (open circle at left and close circle at right)

The domain is all whole numbers greater than 16 visits and less than or equal to 24 visits

The value of y is

y=3x+42

For x=16 ----> y=3(16)+42=$90

For x=24 ----> y=3(24)+42=$114

The range is the interval ----> (90,114] (open circle at left and close circle at right)

All real numbers greater than $90 and less than or equal to $114    

please mark me brainliest!

The graph that represents the total monthly cost at the gym as a function of the number of visits in a month is shown by option A)

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Based on the number of visits each month, a gym provides three different levels of membership.

Let the monthly visits be 'a' and the overall expense be 'b'. The following will be the appropriate graph showing the total monthly cost of the gym as a function of monthly visits:

A) For the interval of a = [0,12]

The value of b is given by:

b = 5a + 15

when a = 0 in the above equation.

b = $15

when a = 12 in the above equation.

b = 60 + 15

b = $75

The interval of b = [15,75]

B)

For the interval of a = [12,16]

The value of b is given by:

b = 4a + 32

when a = 12 in the above equation.

b = 48 + 32

b = $80

when a = 16 in the above equation.

b = 64 + 32

b = $96

The interval of b = [80,96]

C)

For the interval of a = [16,24]

The value of b is given by:

b = 3a + 42

when a = 16 , we get

b = 48 + 42

b = $90

when a = 24 in the above equation , we get

b = 72 + 42

b = $114

The interval of b = [90,114]

Hence , the graph is represented by graph A

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PLEASE HELP GIVING BRAINLIEST TO ONLY CORRECT ANSWER

Answers

Answer:

I think option 3 but not sure

Step-by-step explanation:

Theoretical probability is what we expect to happen, where experimental probability is what actually happens when we try it out. The probability is still calculated the same way, using the number of possible ways an outcome can occur divided by the total number of outcomes.

Which is a better statistical question A:how many points per game did your team score? B:how many games did your team play this year?

Answers

Answer:

A

Step-by-step explanation:

B would be just a number, but for A you need to connect data points and actually do some statistics.

(would really, reallly appreciate the brainliest)

Answer:

A - how many points per game did your team score?

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Which best describes fossil record The mean temperature for the first 7 days in January was 6 C. The temperature on the 8th day was 10 C. What is the mean temperature for the first 8 days in January? 1) Factor the polynomial using the GCE.2x2 + 6x A map is to be constructed such that 1cm on the map represents 100m on ground. What distance on the map will be used to represent 845m of road? In the election of 1860, Abraham Lincoln Hi pls can someone help me The potential in a region between x = 0 and x = 6.00 m is V = a + bx, where a = 10.6 V and b = -4.90 V/m. (a) Determine the potential at x = 0. 10.6 Correct: Your answer is correct. V Determine the potential at x = 3.00 m. V (b) Determine the magnitude and direction of the electric field at x = 0. magnitude 4.9 Correct: Your answer is correct. V/m direction +x Correct: Your answer is correct. Determine the magnitude and direction of the electric field at x = 3.00 m. magnitude V/m direction A plane travels 2.5 KM at an angle of 35 degrees to the ground, then changes direction and travels 5.2 km at an angle of 22 degrees to the ground. What is the magnitude and direction of the planes total displacement?? Identify the three common types of programming design.object-oriented programming designstructured programming designgroup-centered programming designtop-down programming designmulti-developer programming designmulti-language programming design what is the...................part of the living material According to your text, it is not low socioeconomic status or poverty per se that influences aggressive behavior, but rather the _________ that often accompany such stress.a.dollar amountsb.socialization mediatorsc.lack of welfare payments specificallyd.none of the answers are correct Good strategy combined with good strategy execution: Select one: a. Offers a guarantee for avoiding periods of weak financial performance b. Are the two best signs that a company is a true industry leader c. Signal that a company has a superior business model d. Are the most trustworthy signs of good management Read this excerpt from "It's My Constitutional Right!" Claudette slid into a window seat on the left side, near the exit door and about halfway back. A schoolmate plopped down beside her, and two other Booker T. Washington students took the seats across the aisle in the same row. Balancing her textbooks on her lap, Claudette settled back and gazed absently out the window as the bus pulled away from the curb. Which point of view does the author use in the excerpt? first person second person third person no point of view Choose the symbol that would make this problem correct a Use this data for question #14. The results for a survey of 120 students who were selected randomly are listed below:14. The total population of students was 380. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company Y? *A. 114B. 127C. 143D. 163 Suppose that the total benefit to any one person (all people are identical) of a fireworks display is , where g is the dollar amount of fireworks(thus the marginal cost of $1 worth of fireworks is $1). Also suppose that each person in a town pays an equal share of the cost of the display. Does adding more people to the town make each person better off(in terms of net benefits derived from fireworks displays)? If so, by exactly how much? Your merchant fee is 3%. Your customers paid you 280,000 with cash. What is your total merchant fee? If the Latin prefix pro- means ahead and the suffix -ion means act, what does provision mean? A.) act of seeing again; repeat B.) act of not looking; ignore C.) act of looking away; glance D.) act of seeing ahead; supply why Karl marxs communist manifesto was so popular and widely read? There are many examples of police misconduct. Explain at least two reasons that could cause an honest officer to violate the law