angle ABC is a circumscribed about point H with points of tangency D,E, F what is the perimeter of a b and c? but i know AB =7 and ac+ad+dc=6+4=10 but i dont know BC and on

Angle ABC Is A Circumscribed About Point H With Points Of Tangency D,E, F What Is The Perimeter Of A

Answers

Answer 1

Answer

Perimeter = 22 units

Explanation

To answer this, we need to note that two tangents to a circle that start from the same point usually have the same lengths.

So,

AD = AE = 6

CD = CF = 4

Since,

AB = 7 and AB = AE + EB

AE = 6

So,

AB = AE + EB

7 = 6 + EB

EB = 7 - 6

EB = 1

FB = EB = 1

So,

AC = AD + DC = 6 + 4 = 10

AB = 7

CB = CF + FB = 4 + 1 = 5

So, the perimeter of the triangle is given as the sum of all its exterior sides

Perimeter = AB + AC + CB

Perimeter = 7 + 10 + 5 = 22 units

Hope this Helps!!!


Related Questions

A coin is flipped 2,500 times. It lands on heads 1,223 times and tails 1,277 times. A die was rolled 60 times. It landed on one—11 times, two—9 times, four—12 times, five—12 times, and six—8 times. What is the empirical probability of flipping heads on the coin AND rolling a four on the die?

Answers

The empirical probability of flipping heads on the coin AND rolling a four on the die is 0.623.

What is probability?

When we do not really know how something will turn forth, we can talk about the probability of one outcome or the likelihood of several.

Given that,

the coin is flipped = 2,500 times.

heads =1,223 times and tails= 1,277 times.

and

A die was rolled = 60 times

one—11 times, two—9 times, four—12 times, five—12 times, and six—8 times.

The empirical probability of flipping heads on the coin AND rolling a four on the die = (1223/2500) + (8/60)

=0.623

The empirical probability of flipping heads on the coin AND rolling a four on the die is 0.623.

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Translate the following statement into a mathematical equation:Three times a number, minus four, is five.4 - 3 w = 53 w - 4 = 53(4 - w) = 53( w - 4) = 5

Answers

ANSWER:

2nd option: 3 w - 4 = 5

STEP-BY-STEP EXPLANATION:

Let w be the number to create the equation, triple is multiplied by 3 w then subtract 4 is equal to 5, we have the following result:

[tex]3w-4=5[/tex]

Therefore, the correct answer is the 2nd option: 3 w - 4 = 5

Each day, Deshaun earns a fixed wage plus extra money for every hour of overtime he works. The graph shows his total pay (in dollars) versus the amount of overtime ( in hours) that he works.

Answers

Hello!

So, for question (a)

The point that represents Deshaun's salary without working overtime is that in which x=0, being x the overtime hours

In this case, when x=0, y=60, being y his total pay

Regarding question (b)

Notice that as the overtime hours increased so the total day does. Then, the function is increasing!

Moreover, this is a line, so we can look for its equation:

Notice that when he works 1 extra hour he receives 90 dollars as total pay, i.e., x=1 y=90

We already have 2 points! We can w

A surveyor wants to find the height of a tower used to transmit cellular phone calls. he stands 120 ft away from the tower and measure the angle of evolution to be 40° . how tall is the Tower?

Answers

EXPLANATION

Let's represent the situation on a graph:

Let's call x to the height of the tower.

The height of the tower is given by the following trigonometric relationship:

[tex]\text{tangent 40}=\frac{opposite\text{ cathetus}}{\text{adjacent cathetus}}[/tex]

Replacing terms:

[tex]\text{tangent 40 = }\frac{x}{120}[/tex]

Multiplying 120 to both sides:

[tex]120\cdot tangent\text{ 40 = x}[/tex]

Solving the argument:

[tex]120\cdot0.72=\text{ x}[/tex]

Multiplying numbers:

[tex]120\cdot0.72=86.4\text{ ft}[/tex]

The tower is 86.4 ft tall

1 point1. Which is a true statement about two numerical sets of data that havenegative association? *

Answers

When we have two numerical sets of data, it's either we have a positive association, negative asscociation or no association.

When we have a negative association, one variable increases as the other variable decreases.

Take a scatter plot as an example. In a scatter plot, if the x variable is increasing as the y variable decreases, we can say that both variables have a negative association.

While if the x variable is increasing as the y variable is increasing, both variables have a positive association.

Therefore, when two numerical sets of data have negative association, the correct statement is:

As one variable increases, the other variable decreases.

ANSWER:

D. As one variable increases, the other variable decreases

Michael launched a new website to share news and photos of his town. The equation below estimates the number of followers, y, in x weeks after his launch. y = 82(1.045)^x Complete each of the 2 activities for this Task. Activity 1 of 2 What is the rate of growth for the number of followers each week? A 45% B. 1,045% C. 4.5% D. 82% Activity 2 of 2 How many followers should Michael expect in the 4th week? Round to the nearest whole number. Show your work please!

Answers

Consider the given expression,

[tex]y=82(1.045)^x[/tex]

The first derivative gives the rate of growth for the number of followers.

Solve for the first derivative as,

[tex]\begin{gathered} \frac{dy}{dx}=82\times\frac{d \square}{dx}(1.045)^x \\ \frac{dy}{dx}=82\times(1.045)^x\ln (1.045) \\ \frac{dy}{dx}=y\times0.045 \\ \frac{dy}{dx}=4.5\text{ percent of y} \end{gathered}[/tex]

Thus, the rate of growth of followers is approximately 4.5% each week.

Therefore, option C is the correct choice.

The number of followers corresponding to the 4th week is calculated as,

[tex]y=82\times(1.045)^4=82\times1.1925=97.7865\approx98[/tex]

Thus, Michael should expect approximately 98 followers in 4th week.

The water park charges a $10 entry fee per person and a $3 parking fee per family vehicle. What is the total cost in tepeople ride in the same vehicle? what is the dependent variable

Answers

10x10=100
100+3=103
The answer is$103
Is it ten people

Part C
Compare and contrast the relative frequency for the whole table in part B with the two-way frequency table given in the
activity introduction. What trends or generalizations can you identify from the data in the tables?

Answers

A frequency table is just a two-column "t-chart" or table that lists all of the potential outcomes and their corresponding frequencies as seen in a sample

What is a frequency table?A frequency table shows the values of a set together with how frequently they occur. The frequency of a certain data value in your dataset is how frequently it appears. You can learn which data values are typical and uncommon by using these tables.This refers to the representation of the frequency of an event in the form of a table.Therefore, when a two-way frequency table is employed, it illustrates the potential relationship between several sets of data visually.Please be aware that the answer to your query was given as a general overview because you did not supply the frequency table that was required or the patterns and generalizations that needed to be found.

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make 8/3 a mixed number

Answers

Given data:

The given nnumber is 8/3.

The given number is lie between 2 and 3 , more close to 3.

Here, each division is one unit and the dot represent the number which is lies bewteen 2 and 3.

What is the measure of m?5m15nmm = [ ?]Give your answer in simplest form.Enter

Answers

The labelled diagram of the triangle is shown below

From the diagram,

BC is common to triangles ABC and BCD.

AC is the hypotenuse of triangle ABC and BC is the hypotenuse of triangle BCD. CD and BC are corresponding legs of triangles ABC and BCD

Thus,

CD/BC = BC/AC

5/m = m/(15 + 5)

5/m = m/20

By crossmultiplying,

m * m = 5 * 20

m^2 = 100

m = square root of 100

m = 10

Answer is 10 I had that question lol

On a 1200 foot stretch of highway through the mountains the road rises by a total of 40 feet find the slope of the road

Answers

Remember that

The formula to calculate the slope is

slope=rise/run

In this problem

rise=40 feet (vertical distance)

run=1,200 feet (horizontal distance)

so

slope=40/1,200

slope=4/120

simplify

slope=1/30

Hi I need help with this is it A. B. C. D. And the last multiple choice question says - The cost of 4 adult tickets equals the cost of 3 children’s tickets

Answers

Given that:

x = number of adult tickets.

y = number of children's tickets.

And the ordered par (4, 3).

Since an ordered pair is represented by (x, y):

x = 4 = number of adult tickets.

y = 3 = number of children's tickets.

Answer: A. Ms. Monti bought 4 adults tickets and 3 children's tickets.

You have $25 to purchase apps on your cell phone. Each app you want costs $3.99. Describe the number of apps you can purchase.

Answers

Answer:

6 apps

Step-by-step explanation:

Comment

The trick to this question is that you must stay under $25 dollars. Make a rough estimate to the answer. Suppose each a[[ costs 4 dollars.

Then the total number you can but is 25/4 = 6.25 spps. But you can't buy 1/4 of an app, so the answer must be 6.

To be just a bit formal

1 app costs 3.99 dollars

6 apps cost 3.99 * 6 = 23.94 dollars.

What happens if you try and buy the 7th app?

7 apps cost 3.99 * 7 = 27.93 which is over 25.

You cannot by 7 apps.

You can only buy 6 apps.

14. Mason has 2 quarters, and he needs 50 cents more to pay the turnpike toll. There are 5 dimes, 6 quarters, and 10 nickels in his glove compartment. If he reaches in and selects two coins at random without replacing the first one, find the probability of choosing two quarters. 99

Answers

we have in total of coins are

5+6+10=21

For the first coin, we have the probability of 6/21

Then we only left 5 quarters and 20 coins in total, the next probability will be 5/20

the total probability is

[tex]\frac{6}{21}\cdot\frac{5}{20}=\frac{30}{420}=\frac{1}{14}[/tex]

the answer is 1/14

Which triangles are similar?17Triangle A12)151037g8Triangle BTriangle cA. Triangles A, B, and CB. Triangles A and CC. Triangles B and CD. Triangles A and B

Answers

The answer is C. triangles B and C are similar.

Similar triangles only differs between them by the size. All angles must be the same and all sides must be multiplied by the same factor of scale to transform from one triangle from another.

the only 2 triangles that share the same angle values are B and C. thus, the answer is option C

Geometry help please
Question 13 to 15

Answers

(13) The angles are alternate interior angles .

(14)  The angles are alternate exterior angles .

(15)  The angles are vertically opposite angles.

What are the properties of parallel lines?

In a plane, parallel lines are any lines that do not meet or intersect at any point. They are always parallel and equally spaced apart from one another. Lines that are parallel do not intersect. Infinity is where parallel lines meet, as well.

Additionally, pairs of angles, such as the ones below, are created when a transversal intersects two parallel lines.

Corresponding anglesAlternate interior anglesAlternate exterior anglesVertically opposite anglesLinear pair

Two lines are said to be intersecting if they cross at a single point in a plane. Perpendicular lines are those that cross one other at a 90-degree angle. In a plane, two lines are said to be parallel if they never cross at any point.

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jean rents an electric sander for $2.50 per hour plus $6.00 for the sand paper. what is the cost of renting the sander for 10 hours ? use the function c = 2.5h + 6

Answers

Its a hard question i really don't know

graph this line using slope

Answers

Graph this line using slope ​

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

y = m x +b

the slope is m

The y-intercept is (0, b)

_____________________

y = 2x +4 (yellow line)

The slope = 2 = 2/1 = (y2-y1)/ (x2-x1)

The y-intercept is (0, 4)

x= 0

y = 4

First draw the point (0, 4)

x= 0

y = 4

- Since the slope is 2 = variation in y / variation in x

From (0,4) the next point could be 1 more in x and 2 more in y (1, 6)

To continue

From (1,6) the next point could be 1 more in x and 2 more in y (2, 8)

From (2,8) the next point could be 1 more in x and 2 more in y (3, 10)

From (3,10) the next point could be 1 more in x and 2 more in y (4, 12)

___________________________________________

You only have the positive part so you won't need this

From (0,4) the next point could be 1 less in x and 2 less in y (-1, 2)

To continue

From (-1, 2) the next point could be 1 less in x and 2 less in y (-2, 0)

845,000 rounded to the nearest thousand

Answers

it is already rounded

11 Type the correct answer in each box. x + 3x + 5+ 2= __ x + __4s-2s + 10= __ s + 10n + n + 7 + n + 4= __ n + __

Answers

SOLUTION

(1) We want to add

[tex]\begin{gathered} x+3x+5+2 \\ x\text{ means 1}x \\ \text{adding we have } \\ 4x+7 \end{gathered}[/tex]

Hence, the answer is 4x + 7

(2)

[tex]\begin{gathered} 4s-2s+10 \\ =2s+10 \end{gathered}[/tex]

Hence, the answer is 2s + 10

(3)

[tex]\begin{gathered} n+n+7+n+4 \\ we\text{ place the n's together and the numbers together, we have } \\ n+n+n+7+4 \\ \text{This also means } \\ 1n+1n+1n+7+4 \\ =3n+11 \end{gathered}[/tex]

Hence, the answer is 3n + 11

Students in 6 classes, displayed below, ate the same ratio of cheese pizza slices to pepperoni pizza slices. Complete the following table, which represents the number of slices of pizza students in each class ate.​

Answers

Slices of Cheese Pizza 2 , 6, 8, 5 ½, 3 1/3, 3/5 Slices of Pepperoni Pizza 5, 15, 20, 13 ¾, 8 1/3, 1 ½ Total Slices of Pizza 7, 21, 28, 19 ¼, 11 2/3, 2 1/10

Class Period Sequencing on a Coordinate Plano Instruction: Using the coordinate plane, graph the sequence of transformations, record the coordinates for each transformation, and write the general rule (algebraio expression). Please graph each image a different color on the coordinate plane

Answers

Note that:

The first quadrant of a graph belongs to the negative x - axis, and the positive y-axis

Since it is stated that the points of the preimage belong to the first quadrant, we can reasonably selects the values of Points A, B, C, and D that obey this instruction.

1) Coordinates of the preimage in the first quadrant

Let us selects arbitrary coordinates that belong to the first guadrant for the points:

A(-1, 2), that is, x = -1, y = 2

B(-1, 6), that is, x = -1, y = 6

C(-3, 2), that is, x = -3, y = 2

D(-3, 6), that is, x = -3, y = 6

2) Coordinates of the image after translating the object by 7 units left (i.e x -7) and 3 units up (i.e y + 3)

[tex]\begin{gathered} \text{Transformation rule:} \\ T_{}} \end{gathered}[/tex]

The preimage is translated 7 units left and 3 units up. The coordinates of the points become:

A' (-1-7, 2+3)

A' (-8, 5)

B' (-1-7, 6 + 3)

B'(-8, 9)

C'(-3-7, 2+3)

C'(-10, 5)

D'(-3-7, 6+3)

D'(-10, 9)

Hello Blessing, can you see the solution here?

Are you still there?

thanks for the help!!!

Answers

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

cos x [tex]cos^{-1}[/tex] = 1

The value of  [tex]cos(cos^{-1} \frac{5}{13} + cos^{-1}\frac{7}{25})[/tex] is 166/195.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]cos(cos^{-1} \frac{5}{13} + cos^{-1}\frac{7}{25})[/tex]

We will distribute cos with the expression.

[ cos x [tex]cos^{-1}[/tex] = 1 ]

So,

= cos x [tex]cos^{-1}[/tex] (5/13) + cos x [tex]cos^{-1}[/tex] (7/15)

= 5/13 + 7/15

= (75 + 91) / 195

= 166/195

Thus,

The value of  [tex]cos(cos^{-1} \frac{5}{13} + cos^{-1}\frac{7}{25})[/tex] is 166/195.

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I’m not quite sure how to prove this geometric proof.

Answers

For the given question, we will prove ABCD is a parallelogram

The proof will be as follows:

Statements Reason

1. AB ≅ CD Given

2. AB // CD Given

3. CB ≅ AD Given

4. CB // AD Given

5. ABCD is a parallelogram Parallegram theorem

Vectors and Complex numbers Part AYou drive 30 miles due east in a half hour. Then, you turn left and drive 30 miles north in 1 hour. What are your average speed andvelocity, and what are the rectangular and polar coordinates of your position?Part BYou have already travelled 30 miles east and then 30 miles north. To get back to the start, you travel 30 miles west in 1 hour and then 30 minutes south in a half hour. What are your average speed and average velocity for the whole rally?

Answers

Part A.

30 miles east in half hour next

turn left and drive 30 miles north in 1 hour

The average speed is given by

the total distance divided by the total amount of time.

In this case,

[tex]\begin{gathered} \text{average velocity=}\frac{30+30}{1.5+1} \\ \text{average velocity=}\frac{60}{2.5} \\ \text{average velocity=}24\text{ }\frac{miles}{hour} \end{gathered}[/tex]

Now, the position in rectangular coordinates is (30,30)

In polar coordinates, we must find the angle theta and the lenght r.

This can be given as

[tex]\begin{gathered} r=\sqrt[]{x^2+y^2} \\ \end{gathered}[/tex]

In our case x=30 and y=30, hence

[tex]\begin{gathered} r=\sqrt[]{30^2+30^2} \\ r=\sqrt[]{2\cdot30^2} \\ r=30\sqrt[]{2} \end{gathered}[/tex]

On the other hand, angle theta is given by,

[tex]\theta=tan^{-1}\frac{y}{x}[/tex]

hence,

[tex]\begin{gathered} \theta=tan^{-1}\frac{30}{30} \\ \theta=tan^{-1}1 \\ hence, \\ \theta=45\text{ degr}ees \end{gathered}[/tex]

Therefore, in polar coordinates, point (30,30) is given by

[tex](r,\theta)=(30\sqrt[]{2},45)[/tex]

Part B

Until now, we drove 30 miles east, next 30 miles north. Now, we must drive 30 miles west and 30 miles south.

Hence, we will drive 30+30+30+30=4*30=120 miles. Therefore, the average velocity is

[tex]\begin{gathered} \text{average velocity=}\frac{120}{1.5+1+1.5+1.5} \\ \text{average velocity=}\frac{120}{5.5} \\ \text{average velocity=}21.81\text{ }\frac{miles}{hour} \end{gathered}[/tex]

Part A. Velocity.

Velocity is a vector. In this case, we must add to vectors:

vector V1 is given by

[tex]\begin{gathered} v_1=(\frac{30}{1.5},0) \\ \text{which is equal to } \\ v_1=(20,0) \end{gathered}[/tex]

Vector V2 is given by

[tex]\begin{gathered} v_2=(0,\frac{30}{1}) \\ v_2=(0,30) \end{gathered}[/tex]

then, resultant vector velocity is

[tex]\begin{gathered} v=v_1+v_2 \\ v=(20,0)+(0,30) \\ v=(20,30) \end{gathered}[/tex]

Drag the tiles to complete the composition of the functions described

Answers

g(x) = x - 3

h(x) = 3x + 1

To find g(h(x)), you have to replace x = h(x) into g(x), as follows:

g(h(x)) = (3x + 1) - 3

g(h(x)) = 3x + (1 - 3)

g(h(x)) = 3x - 2

To find h(h(x)), you have to replace x = h(x) into h(x), as follows:

h(h(x)) = 3(3x + 1) + 1

h(h(x)) = 3(3x) + 3(1) + 1

h(h(x)) = 9x + 3 + 1

h(h(x)) = 9x + 4

You select a family with three children. If M represents a male child and F a female​ child, the set of equally likely outcomes for the​ children's genders is shown below. Find the probability of selecting a family with at least three male children.
{MMM, MMF, MFM, MFF,

Answers

The probability to select a family with atleast three male children is only 1/8.

What is Probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur.

First, you have the sample of the children.

We know that the family with 3 children, can have the sample space as given {MMM,MMF,MFM,FMM,FFM,FMF, FFF}

MMM: 3 Males

MMF: 2 males, 1 female

MFF: 1 male, 2 females

MFM: 2 males, 1 female (different order)

FMM: 1 female, 2 males

FFM: 2 females, 1 male

FMF: 2 females, 1 male

FFF: 3 females

If we count all of these possibilities, we have 8 possible cases of family with the childrens.

In only one of them, we have atleast three males , which is the first one

Therefore, the probability to select a family with atleast three male children is only 1/8.

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Owners of a recreation area are filling a small pond with water. Let y represent the total amount of water in the pond (in liters). Let x represent the total numberof minutes that water has been added. Suppose that x and y are related by the equation y = 700 +31x.Answer the questions below.Note that a change can be an increase or a decrease.For an increase, use a positive number. For a decrease, use a negative number.What was the starting amount of water in the pond?___ litersWhat is the change per minute in the amount of water in the pond?___ liters

Answers

Solution

Step 1:

y = 700 + 3x

y represents the total amount of water in the pond (in liters)

x represents the total number of minutes that water has been added

Step 2:

What was the starting amount of water in the pond?

Starting amount of water is when x = 0 minute

[tex]\begin{gathered} y\text{ = 700 + 31x} \\ y\text{ = 700 + 31}\times\text{ 0} \\ \text{y = 700 liters} \end{gathered}[/tex]

Step 3:

What is the change per minute in the amount of water in the pond?

Change per minute in the amount of water in the pond = 31

Final answer

What was the starting amount of water in the pond?

700 liters

What is the change per minute in the amount of water in the pond?

31 liters

The points (-3,-6) and (9,4) are the endpoints of the diameter of a circle. Find the center, the length of the radius, and the equation of the circle. Keep values in exact form, no decimals.

Answers

Centre of the circle = (3, -1)

Length of the radius =  8

Equation of the circle = [tex](x-3)^{2} +(y+1)^{2} =61[/tex]

What is the centre of the circle?

Centre = Midpoint

[tex]\text{Midpoint}=(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2} )\\\\=(\frac{-3+9}{2} ,\frac{-6+4}{2} )\\\\=(\frac{6}{2} ,\frac{-2}{2} )\\\\=(3,-1)[/tex]

Centre of the circle = (h, k) =(3, -1)

What is the length of the radius?

Length of the radius = [tex]\frac{\text{Length of the diameter}}{2}[/tex]

[tex]\text{Length of the diameter =}\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}\\\\=\sqrt{(9+3)^{2}+(4+6)^{2} } \\\\=\sqrt{(12)^{2}+(10)^{2} } \\\\=\sqrt{144+100 } \\\\=\sqrt{244} \\\\=15.62[/tex]                              

Length of the radius of the circle= [tex]\frac{15.62}{2} =7.81[/tex]

So, the length of the radius =7.81

                                              = 8 (without decimal)

What is the equation of the circle?

A circle equation is given by,

[tex]{(x-h)^{2} +(y-k)^{2} } =r^{2} \\\\(x-3)^{2} +(y+1)^{2} =60.9\\\\(x-3)^{2} +(y+1)^{2} =61(\text{without decimal})[/tex]

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Given the figure is a square, find x, y, and z.

Answers

Answer:

x=9

z=58 deg

y=37

Step-by-step explanation:

8x+50=12x+14

-8x from both sides

50=4x+14

-14 from both sides

36=4x

*1/4 to both sides

9=x

Because it is a square all the angles = 90

z+32=90

-32 from both sides

z=58

8*9+50=122

all sides are equal

y+85=122

-85 from both sides

y=37

Other Questions
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