Triangle DEF is circumscribed about circle R. Points S, T and U are points of tangency where SD = 4 m and UF = 7 m. What is the measure of DF

Answers

Answer 1

The measure off DF is 11.

In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.

DF=DT+TF=4+7=11.

Answer 2

First of all, we need to establish some known things. Let us call the radius r and the center of the circle R. Consider RD and then consider the 2 triangles DUR and DSR. We have that they have both a 90 degree angle (due to the tangency condition), they have DR common and also SR is equal to UR since both are equal to r. Hence, we have that the triangles are equal, thus, we have that DS=DU. Since DF=DU+UF, we have that DF=11

Related Questions

Jenny said i'm thinking of fraction that is equivalent to 2/6 the numerator is 8 less than the denominator what fraction is jenney thinking of

Answers

The number that Jenny is thinking of is 4/12

Hope I helped!

8/24 just multiple both sides of the fraction by 4

If a pair of perpendicular lines are rotated, which is true?
A) Rotating perpendicular lines result in parallel lines.
B) The lines remain perpendicular only if rotated 180°.
C) The lines remain perpendicular only if rotated 360°.
D) Rotated perpendicular lines always remain perpendicular lines.

Answers

Your answer would be (D).

Explanation: Rotated perpendicular lines always remain perpendicular lines.

Rotation is a rigid transformation, so the lines remain perpendicular.

Perpendicular lines remain perpendicular after any rotation around a point on either line because rotation is a rigid motion that preserves angles and distances. Therefore, the correct answer is option D).

When a pair of perpendicular lines is rotated around any point on either line, the two lines will always remain perpendicular to each other, regardless of the angle of rotation. This is because rotation is a rigid motion, which preserves angles and distances. Consequently, if the two lines were originally perpendicular, they would continue to form a 90-degree angle with each other after any amount of rotation. In other words, the nature of perpendicular lines is such that they form four right angles at the point of intersection, and rotation around that point does not alter these angles.

help help help me
please

Answers

when the base is the same, and it is a ÷, subtract the exponents (if it is a ×, add the exponents):
-11/3-(-2/3)=-9/3=-3
4^(-3)=1/4³=1/64
the first choice is correct.

[tex]4^{- \frac{11}{3} }:4^{- \frac{2}{3} }=4^{- \frac{11}{3}-(- \frac{2}{3})}=4^{- \frac{11}{3}+ \frac{2}{3}}=4^{- \frac{9}{3}}=4^{-3} = \frac{1}{4^3}= \frac{1}{64} [/tex]

The answer is A

Please help on the circle question ASAP

Answers

Area = pi * radius ^2
314 = 3.14 * radius ^2
100 = radius ^2
radius = 10

AC←→ is tangent to the circle with center at B.
The measure of ∠ACB is 71°.

What is the measure of ∠ABC?
Enter your answer in the box.
m∠ABC = __ °

Answers

I'm pretty sure the answer is "19", but if i'm wrong please don't kill me.

Answer: The value of m∠ABC = 19 °

Step-by-step explanation:

Since we have given that

AC is tangent to the circle with center at B.

The measure of ∠ACB = 71°

And we know that "Radius is the shortest distance from the center to the tangent".

So, Radius is always perpendicular to the tangent.

So, the measure of ∠BAC = 90°

Consider, ΔABC, we get that

[tex]\angle ABC+\angle BAC+\angle ACB=180^\circ\\\\\angle ABC+90^\circ+71^\circ=180^\circ\\\\\angle ABC=180^\circ-90^\circ-71^\circ\\\\\angle ABC=19^\circ[/tex]

Hence, the value of m∠ABC = 19 °

A bag contains 18 blocks numbered from 1 to 18. Two blocks are selected from the bag at the same time. Let event E = the two numbers differ by 11. How many outcomes are in E? A) 7 B) 14 C) 28 D) 292

Answers

the correct answer is A 7

Answer:

A) 7

Step-by-step explanation:

E is when the numbers differ by 11, so these pairs work:

(1, 12), (2, 13), (3, 14), (4, 15), (5, 16), (6, 17), (7, 18)

Thus, there are 7 outcomes where the numbers differ by 1

Draw a bar model to represent the expression m divided by 4

Answers

Bar models can be used to represent the quotient and the product of numbers or expressions

How to draw the bar model

Represent the division of m by 4 with x.

So, we have:

[tex]\frac m4 = x[/tex]

Multiply both sides of the equation by 4

[tex]4 * \frac m4 = x * 4[/tex]

Evaluate the products

[tex]m = x * 4[/tex]

So, we have:

[tex]m =4x[/tex]

See attachment for the bar model

Answers

To find how much 6 quarts would cost we would need to do 6q(x)$2 to find the total. 6q(x)$2=$12 [Q as in quarts] He would need one more dollar to be able to purchase 6 quarts, but he only has enough money for 5.

starting with 25 members a club doubled its membership every year write the function f(n) that expresses the number of members after six years

Answers

[tex]\bf \qquad \textit{Amount for Exponential Growth}\\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\\ \end{cases}[/tex]

now, we know they're doubling every year, so the rate of growth is 100%, so whatever amount, + 100% is just double that much, therefore,

[tex]\bf \qquad \textit{Amount for Exponential Growth}\\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\to &25\\ r=rate\to 100\%\to \frac{100}{100}\to &1.00\\ t=\textit{elapsed time}\to &6\\ \end{cases} \\\\\\ A=25(1+1)^6\implies A=25(2)^6\implies A=1600[/tex]

The number of members after six years is 1600.

We have given that,

starting with 25 members a club doubled its membership every year write the function f(n) that expresses the number of members after six years.

What is the formula for exponential growth?

[tex]A=P(1+r)^t[/tex]

A=Amount

P=initial amount

r=rate

t=time

now, we know they're doubling every year, so the rate of growth is 100%, so whatever amount, + 100% is just double that much, therefore

[tex]A=25(1+1)^6\\A=25(2)^6\\A=1600[/tex]

Therefore we get the number of members after six years is 1600.

To learn more about exponential growth visit:

https://brainly.com/question/7920039

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Easy Algebra 2 Rational Expressions question

Answers

Set the bottom equal to 0

x - 8 = 0
x = 8

What is the measure of angle C?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

°

Answers

10.39 is the measure of angle C.

Which relationship shows an inverse variation?
x: 2,3,4,5
f(x):1,4,9,16

x:1,2,3,4
f(x):2,8,18,32

x:1,2,3,4
f(x):4,3,2,1

X:2,4,6,8
f(x):12,6,4,3,

Answers

Only in the 4th selection do you have x*f(x) = constant (= 24). That selection shows an inverse variation.

Answer:

x : 2,4,6,8

f(x) :12,6,4,3

This table represents the relationship of an inverse variation.

Step-by-step explanation:

We are asked to find which relationship shows an inverse variation.

Inverse variation means that there exist a constant 'k' such that:

f(x)=k/x

or, k=x·f(x)

x : 2, 3, 4, 5

f(x): 1, 4, 9, 16

if x=2 and f(x)=1

k=2

but if x=3 and f(x)=4

we get: k=12.

Hence, we do not obtain a same constant k.

x: 1,2,3,4

f(x):2,8,18,32

when x=1 , f(x)=2

⇒ k=2

when x=2 , f(x)=8

⇒ k=16

Hence, we did not get a same constant 'k'.

x: 1,2,3,4

f(x):4,3,2,1

when x=1, f(x)=4

⇒ k=4

when x=2 , f(x)=3

⇒ k=6

Hence, we did not get a same constant 'k'.

x :2,4,6,8

f(x) :12,6,4,3

when x=2 f(x)=12

⇒ k=2×12=24

when x=4 f(x)=6

⇒ k=4×6=24

when x=6 f(x)=4

⇒ k=6×4=24

when x=8 f(x)=3

⇒ k=8×3=24

Hence, we get a constant 'k=24' for all the values of x.

Hence, option: 4 shows relationship of an inverse variation.

x :2,4,6,8

f(x) :12,6,4,3

If a plane slices a cube through three points that are equidistant from one of its vertices, which of the following best describes the cross-section of the cube?

Answers

Answer: The cross section would be a triangle.

Imagine a object that is a cube, like a dice. Start at one vertice and measure down 3 edges the same distance.

Now, imagine that you cut through those 3 dots and cut off the corner. The resulting base of your new shape would be the cross section. It would be a triangle.

Answer:

Triangle

Step-by-step explanation:

A cube is a three-dimensional figure with six congruent square faces. The cube below is sliced by a plane through three points that are equidistant from one of its vertices.

The cross-section created by the plane is an equilateral triangle.

Therefore, traingle is the best choice.

Suppose a normal distribution has a mean of 16 and a standard deviation of 4.

A value of 26 is how many standard deviations away from the mean?

−2.5

−1.5

1.5

2.5

Answers

To calculate the number of standard deviations away from the mean, we first subtract the actual score from the mean, then divide the difference by the standard deviation. In this case, our actual score is 26, so we subtract from the mean of 16, then divide by the SD of 4
(26 - 16) / 4 = 2.5

Answer:

Correct Answer is 2.5

Step-by-step explanation:

100 POINTS!!!!!!!!!!!!!!! whats is 9 times 7 times 4777 times 2 plus 3636363636363 times 700 times 4 minus 5 time 6999999996950 plus 300 times 400

Answers

983181985277250
I believe this is the correct answer

hope this helps

4.71891168e24.

Hope this helps! Have a great day :)

(2x - 3y)(4x - y) Please help

Answers

(2x - 3y) (4x - y) = 8x² - 2xy - 12xy + 3y²

(2x - 3y) (4x - y) = 8x² -14xy + 3y²

---------------------------------
Answer:8x² -14xy + 3y²
---------------------------------

A 36-foot long fence is placed around a square garden. What is the length of one side of the garden? (1 point)

4 feet
6 feet
9 feet
12 feet

Answers

36/4 = 9 Feet on Each Side

If we know the length of the fence around a garden, we know the garden's perimeter. We also know that the garden is a square. Since squares have four sides that are each the same length, we know that the length of 1 side will be 36 feet / 4, or 9 feet.

Ellipses have symmetry through only their major axis?
True or False?

I think false. They have them through both major and minor.,

Answers

False. Ellipses have symmetry through both major and minor axis. In order to actualize, think about folding the ellipse in half on both axis, this will create two mirror images, and thus two lines of symmetry.

A bowling ball leaves a bowler's hand. An accelerometer inside the ball reads zero. Which of the following best describes what happens to the ball?

A. The ball speeds up.

B. The ball moves at a constant speed.

C. The ball curves toward the gutter.

D. The ball slows down.

Not quite sure what this means :( Thanks!! @perl :)

Answers

Acceleration is the change in velocity, so if there is zero acceleration, the ball's speed and direction are constant. Therefore, the only plausible answer to our question is B. This is because the ball's speed stays the same, and its direction is also constant.

Last winter Armand had mc009-1.jpg of a row of stacked logs. At the end of the winter he had mc009-2.jpg of the same row left. How much wood did he burn over the winter?

Answers

Boi, I can’t access da pics.

Answer:

the answer is 3/10 slime

Step-by-step explanation:

The length of the minute hand is 200% of the length of the hour hand.

In 1 hour, how much farther does the tip of the minute hand move than the tip of the hour hand? Round your answer to the nearest hundredth.

Answers

In one hour, the minute hand, being twice as long as the hour hand, covers a distance of 4π times its length, while the hour hand covers 1/12 of its circumference. The difference, 23π/6 times the length of the hour hand, translates to approximately 12.09 times the length of the hour hand, rounded to the nearest hundredth.

The question asks about the relative movement of clock hands, which is a concept related to geometry and ratios. We need to determine how much farther the tip of the minute hand moves than the tip of the hour hand in one hour. Given that the length of the minute hand is 200% of the length of the hour hand, the minute hand's tip covers a greater distance due to its longer radius.

In one hour, the minute hand makes one complete revolution, which is 360 degrees around the clock. The hour hand, however, moves only 1/12th of this distance because there are 12 hours on a clock. To find the actual distances, we calculate the circumference each hand moves through, knowing that the length of the minute hand is twice that of the hour hand.

Let's denote the length of the hour hand as L. Therefore, the length of the minute hand is 2L. The circumference for the minute hand is 2π(2L) and for the hour hand is 2π(L). The minute hand travels 2π(2L) = 4πL, whereas the hour hand travels 1/12 of its circumference, which is approximately 2π(L)/12 = πL/6.

The difference in the distance covered in one hour is 4πL - πL/6. Simplifying this:

4πL - πL/6 = (24πL - πL)/6

(24πL - πL)/6 = 23πL/6

23πL/6 is approximately 23πL/6 = 12.09L (using π ≈ 3.14)

The tip of the minute hand moves approximately 12.09 times the length of the hour hand farther in one hour. This result would then be rounded to the nearest hundredth as per instruction.

Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers, (k), she can drive with 12 liters of fuel. She assumes the relationship between kilometers and fuel is proportional. How many kilometers can Pamela drive with 12 liters of fuel?

Answers

99 km ... 9 liters
x km ... 12 liters

If the relationship is proportional, we have

[tex] \frac{99}{x} = \frac{9}{12} [/tex]

from where

[tex]x = \frac{99*12}{9}= \frac{1188}{9}=\bold{132} [/tex]

The answer is 132 kilometers.

An angle measures 44° more than the measure of a supplementary angle. what is the measure of each angle?

Answers

the measure of each angle is 68*

The correct answers are:

68° and 112°.

Explanation:

Let x be the measure of the smaller angle.

The larger angle would then be x+44.

Since the angles are supplementary, their sum measures 180°. This gives us the equation:

x+(x+44) = 180

Combining like terms, we have

2x+44 = 180

Subtract 44 from each side:

2x+44-44 = 180-44

2x = 136

Divide each side by 2:

2x/2 = 136/2

x = 68

The smaller angle measures 68°.

The larger angle is 44° more:

68+44 = 112°

Which of the following is a polynomial?

Answers

Looks like you answer will be choice A...

Now why are the others not???
B. this is the product of two polynomials
C. this looks like a polynomial but notice the second term..it has a negative exponent. Exponents have to be of the set 0,1,2,3....
D. this expression introduces division by a variable which cannot happen in polynomials....note the first term where x is raised to the exponent of "-x"

x² + 2

Further explanation

Let us determine whether each algebraic expression is a polynomial or not.

[tex]\boxed{ \ A. \ x^2 + 2 \ }.[/tex] is a polynomial. [tex]\boxed{ \ B. (x^8 - 2)/(x^{-2} + 3) \rightarrow \frac{(x^8 - 2)}{(x^{-2} + 3)} \ }[/tex] is not a polynomial, but a rational function.[tex]\boxed{ \ C. \ 7x^7 - 2x^{-4} + 3 \ }[/tex] is not a polynomial, because - 4 is not a whole number power. [tex]\boxed{ \ D. \ x^{-x} - 1 \ }[/tex] is not a polynomial, because - x is not a power of integer but a variable as well.

Let us rephrase the following definitions.

A monomial is an algebraic expression which comprises a single real number, or the product of a real number and one or more variables raised to whole number powers. For example, [tex]\boxed{-2} \boxed{3x^2} \boxed{4a^3b^4} \boxed{-5xy^3z^2} \boxed{\frac{3}{5}}[/tex]A coefficient is each real number preceeding the variable(s) in a monomial. In the examples above [tex]\boxed{ \ -2, 3, 4, -5, \frac{3}{5} \ }[/tex] are the coefficients.A polynomial is the sum or difference of a set of monomials. For example, [tex]\boxed{ \ 2x^2 - 3xy^2 + 4x^2y \ }[/tex]Each monomial that forms a polynomial is called a term of that polynomial. For example, the term of polynomial [tex]\boxed{ \ 2x^2 - 3xy^2 + 4x^2y \ }[/tex] are [tex]\boxed{ \ 2, - 3, and \ 4. \ }[/tex]The constant term is the term of polynomial that does not contain a variable.The leading coefficient is the coefficient of the term containing the variable raised to the highest power.

For example, consider the polynomial [tex]\boxed{ \ 2x^4 - 3x^2 - 4x - 5 \ }[/tex]

[tex]\boxed{ \ 2x^4, - 3x^2, - 4x, and \ - 5 \ }[/tex] are the terms of polynomial.[tex]\boxed{ \ 2, - 3, - 4 \ }[/tex] are the coefficients.- 5 is the constant term.2 is the leading coefficient.

A polynomial is said to be in standard form if the terms are written in descending order of degree. For example:

[tex]\boxed{ \ 2x^4 - 3x^2 - 4x - 5 \ }[/tex] is a polynomial in standard form.[tex]\boxed{ \ - 3x^2 + 2x^4 - 5- 4x \ }[/tex] is the polynomial, but it is not in standard form.Learn moreThe remainder theorem https://brainly.com/question/950038768.32 divided by 2.8 is divisible https://brainly.com/question/5022643#Which expression is equivalent to the product of a binomial and a trinomial after it has been fully simplified https://brainly.com/question/1394854

Keywords: which of the following is a polynomial, a monomial, terms, the leading coefficient, constant, in a standard form, rational function, whole number power, integer

Find the amount of Social Security deducted: $37890 annually.

Answers

the answer is 2,898.59

Answer:

The current social security tax is 12.4% so the answer is $2349.18

Step-by-step explanation:

Social security deduction is a federal tax imposed on employers, employees and self-employed individuals. Employers and employees both get the equal shares. The current tax rate for social security is 6.2% for the employer and 6.2% for the employee and 12.4 % in total so the social security tax for $37890 is 4698.36 in total and $2349.18 on each party i.e employer and employee.

which can be used to expand the expression below?
5(3x-6/7)
-
associative property
commutative property
distributive property
subtracting

Answers

Distributive property as you're multiplying 5 with both of the numbers in the parenthesis.
I hope this helps!

According to the distributive property, Multiplying each value in the bracket by 5 ls equivalent to taking the sum of the values, then multiply the sum by 5. Hence, the distributive property is used for the expansion.

Given the expression :

5(3x - 6/7)

To expand, use the distributive property, such that ;

5(3x - 6/7)

5*3x - 5*6/7

15x - 30/7

Therefore, the distributive property would be used in expanding the expression above.

Learn more : https://brainly.com/question/10169393

Your friend is looking at laptops for college, and is comparing the different screen sizes. Use the diagram and formula below to find the width of the laptop screen. Round your answer
D= W^2+H^2
(The image of the figure is a rectangle in half, the top side is D= 17inch the H= 9inch, W is blank)
Mutiple choices are
A. W= 16.7 inch
B. W= 9.9 inch
C. W= 8 inch
D. W= 14.4 inch

Answers

For this case what we should do is write correctly the given equation:
D ^ 2 = W ^ 2 + H ^ 2
We substitute the values:
D = 17inch
H = 9inch
Substituting:
17 ^ 2 = W ^ 2 + 9 ^ 2
We clear the value of W:
W = root (17 ^ 2 - 9 ^ 2)
W = 14.4 inch
Answer:
The width of the laptop screen is:
D. W = 14.4 inch

Answer:

The Answer is 14.4inch for Apex!

Step-by-step explanation:

Please help :( 2 questions..

If c(x)=5/x-2 and d(x)=x+3 what is the domain of (cd)(x)?

And, if f(x)=7+4x and g(x)=1/2x, what is the value of (f/g)(5)?,

Answers

First note that since there are no parantheses in c, then c(x)=(5/x)-2. If c(x)=(5/x)-2 and d(x)=x+3, then (cd)(x) means multiply c(x)*d(x). c(x)*d(x)=[(5/x)-2]*(x+3). We multiply each term by each term and we get (5/x)*x-2*x+3*(5/x)-2*3=(5/x)(x/1)-2x+(3/1)(5/x)-6=5-2x+(15/x)-6. Since we have an x in the denominator, it cannot be 0. There are no other restrictions except x cannot be 0. SO the domain is (-infinity,0)U(0,infinity) or All Real numbers except x=0. For (f/g)(5), f(5)=7+4*5=27 and g(5)=(1/2)(5)=(5/2). (f/g)(5)=f(5)/g(5)=27/(5/2) and by inverting and multiplying we get 27*(2/5)=54/5.

I just took the test for the first question its all real values of x except x=2. I got it right. And i believe the answer to the second one is 270. Hope this helps! Good luck (:

What equation is equivalent to 9^(x-3)=729?

Answers

729 = 9³

The 2nd selection is appropriate.

Answer:

Next one is six

Step-by-step explanation:

Im doing the assignment rn, it always seems about halfway through an edge course brainly users lose braincells because they keep saying next one is 81.333

A company developed the following linear model to help budget annual expenses over time. In this model, x represents the number of years after 2009, and y represents the expense budget (in dollars). Interpret the y-intercept. y = 189,785 + 37,896x

A. The company's expense budget for 2009 was $189,785.

B. The company's expense budget for 2008 was $37,896.

C. The company's expense budget for 2009 was $37,896.

D. The company's expense budget for 2008 was $189,785.

Answers

The only reasonable answer I could think for this is "A.The company's expense budget for 2009 was $189,785."
I believe this because since x is the years after 2009 then you wouldn't times that by the expense budget for that year or any year eliminating B and C. When finding the total expense budget for this you would have to take in account the budget from 2009 so that would lead it to add 189,758. Since we are talking about after 2009 then D would be eliminated since 2008 is before 2009.
I hope this helps! Good luck!

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