Triangle ABC is isosceles with AB=CB. Circle M is inscribed in Triangle ABC such that it is tangent at points D, E, and F. If the length of BF is twice the length of CF and the perimeter of Triangle ABC is 32 inches, then determine the length of side BC in inches.

Answers

Answer 1

Answer:

The answer is "12 inches".

Step-by-step explanation:

Please find the image file of the graph.

We know [tex]AE = CF \ and \ EB = FB[/tex] so because the triangle is isosceles.

[tex]EB = 2x, FB = 2x,\ and \ CF = x[/tex] when [tex]AE[/tex] is called by [tex]x[/tex].

We know that [tex]AE = AD = x[/tex] since E and D are tangent points to a circle.

They have [tex]CD = CF = x[/tex] since D and F are tangent points only to circle.

Thus, if the perimeter is 32, the following is the result:

[tex]\to AE + EB + BF + FC + CD + DA = 32\\\\\to x + 2x + 2x + x + x + x = 32\\\\\to 8x = 32\\\\\to x = 4[/tex]

Therefore the length of [tex]BC = BF + FC = 2x + x = 3x = 12\ inches[/tex]

Triangle ABC Is Isosceles With AB=CB. Circle M Is Inscribed In Triangle ABC Such That It Is Tangent At

Related Questions

A block of sugar maple wood has a mass of 82.8 g and density of 0.69 ​g/cm3​. The block is a rectangular prism with a length of 5 cm and a width of 4 cm. What is the height of the block of sugar maple?

Answers

Answer:

6

Step-by-step explanation:

I believe if you fallow the mathematical process of d=m/v you will get 6

The height of the block of the sugar maple from the rectangular prism is 6 cm.

What is the volume of a rectangular prism?

The volume of a rectangular prism signifies the rectangular area enclosed by the prism. The equation used in calculating the formula for a rectangular prism can be expressed as:

V = length × width × height

From the parameters given:

mass of a sugar maple = 82.8 gThe density of the sugar maple = 0.69 g/cm³

[tex]\mathbf{Desity = \dfrac{mass}{volume}}[/tex]

[tex]\mathbf{volume = \dfrac{82.8 g }{0.69 \ g/cm^3}}[/tex]

volume = 120 cm³

Using the previous equation for calculating the volume of a rectangular prism, we have:

120 cm³ = 5 cm × 4 cm × height

120 cm³ = 20 cm² × height

height = 120 cm³/20 cm²

height = 6 cm

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If no number can be used more than once, how many different 2-digit numbers can be formed from the digits 4, 6, and 8?

Answers

Answer:

Six.

46

48

64

68

84

86

Step-by-step explanation:

hoped this helped!

mel randomly selects a coin 150 times of which she selects a dime 30 times

Answers

Answer:

Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.

hope this helps

have a good day :)

Step-by-step explanation:

The square of a negative integer has the same value as the sum of that integer plus 2. what is the integer?

Answers

Answer:

I don't know bc I can't figure it out sry

An equation is formed of two equal expressions. The negative integer stated in the statement is 1.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the negative integer be represented by -a.

Given that the square of a negative integer has the same value as the sum of that integer plus 2. Therefore, the equation can be written as,

(-a)² = -a + 2

a² = -a + 2

a² + a -2 = 0

a² +2a - a -2 = 0

a(a+2) -1(a+2) = 0

(a-1)(a+2) = 0

a = 1, -2

Since a was a negative integer and we have already used the negative sign in the equation, therefore, the value of a is 1.

Hence, the negative integer stated in the statement is 1.

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A grocery store 16 cartons of yogurt for sale, of which 8 are cherry. What is the probability that a randomly selected carton of yogurt will be cherry? write your answer as a percent

Answers

the probability would be 50%, because half of the cartons are cherry and half are not

HELP PLS

you just have to solve the inequality but I’m not smart and don’t know how

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: x≤7
Interval Notation: (−∞,7]

Mark Brainiest please!!

7. lawn chair: $15, 25% off, 6% tax

Answers

Answer:

$3.75 + 6% tax

$3.75

tax: $0.22

Total price with sales tax: $3.97

Step-by-step explanation:

Please check my answer if you can. i got 600 with help from a brainly tutor but i don't think it is correct

Answers

I think I know this one.

Answer: V = 600 unit 2

Step-by-step explanation:

We have that

the volume of the rectangular pyramid is

V = (1/3) BH

where

B is the area of the rectangular face

H is the height of the pyramid

step 1

Find out B

B = (15)(10) unit 2

step 2

Find the volume

B = 150 unit 2

H = 12 unit

substitute

V = (1/3)(150)(12)

V = 600 unit 2

I hope this help you! :)

What is the perimeter?

Answers

Answer:

41.13m

Step-by-step explanation:

the circumference of the circle is 25.13 and the 8 on both sides equals to 16

In a WHS P.E. class, if Team A scores 5 touchdowns , 3 two point baskets, 1 three point baskets, 10 team handball goals, and 7 soccer goals while Team B scores 3 touchdowns, 7 two point baskets, 10 three point baskets, 5 team handball goals and 9 soccer goals... What is the combined score ? Please help

Answers

Answer

Team A                             Team B

6 points -basketball                               21 points - football

3 points -basketball                               14 points - basketball

10 points -handball                                30 points - basketball

07 points - soccer                                  05 points - handball

                                                              09 points - soccer

26 points total                                                                              

                                                                79 points total  

Urgent please help..

Answers

Answer:

x = 12

Step-by-step explanation:

Here, we want to find the value of x

To do this, we use one of the circle tangent relationships

we have this as:

8^2= 4(4 +x)

8^2 = 16 + 4x

64 = 16 + 4x

64-16 = 4x

4x = 48

x = 48/4

x = 12

If you have a triangle and all its angles equal 60 degrees could you say its equilateral?

Answers

Answer:

yes it is an equilateral triangle

A 6 sided cube with sides labeled 1,2,3,4,5 and 6 is rolled 50 times. What is a good prediction for the number of times 5 will be rolled?

Answers

Answer:

A good prediction is that the number 5 will be rolled 8 times

Step-by-step explanation:

Here, we want to get the number of times 5 would occur in a roll of 50

firstly, we need the probability of having a 5 come up

To do this, we have to divide the number of 5’s by the count of possible numbers

We have this simply as 1/6

Now, we have to multiply this by 50

we have this as;

1/6 * 50 = 8.333

This is approximately 8

so we have it that in 50 rolls, we can have the number 5 coming up 8 times

I just need help graphing!

Answers

The answer to the question is in the picture.

Simplify: (p+10)(p+10)

Answers

Answer:

The answer should be either 2(p+10) or 2p + 20

Step-by-step explanation:

just simplify.

Answer:

p^2 +20p+100

Step-by-step explanation:

Use Foil Method

First: p*p=p^2

Outside: 10*p=10p

Inside: 10*p= 10p

Last: 10*10= 100

Simplify p^2+10p +10p +100

ANSWER: p^2 +20p+100

What is the slope line that passes through(17,-13) and (17,8)?

Answers

Undefined

Slope is equal to the change in
y
y
over the change in
x
x
, or rise over run.

The change in
x
x
is equal to the difference in x-coordinates (also called run), and the change in
y
y
is equal to the difference in y-coordinates (also called rise).

Substitute in the values of
x
x
and
y
y
into the equation to find the slope.

The expression contains a division by
0
0
The expression is undefined.

I'm literal trash at math please help :) if you can help me with all 3 that'd be great.

Answers

Answer:

1. C 3.D  4.D

Step-by-step explanation:

1. The chances of getting a white marble is 3/9 so the chances of not drawing it is 6/9

3. The theoretical probability is 10/50. The experimental probably turned out to be 8/50. So the theoretical probability is bigger meaning its D.

4. 18/24 is 75%, 75% of 300 is 225

Order the numbers from least to greatest. 19, 22, 8, 5, 9, 19, 28, 17, 8, 19, 8, 19, 5

Answers

Answer:

5,5,8,8,8,9,17,19,19,19,19,22,28

Step-by-step explanation:

Just whatever is highest to lowest :)

Graph y = x2 + 10x + 25.
Determine the number of solutions.

Answers

Answer:

1 solution

Step-by-step explanation:

The equation will be a horizontal parabola that has an x-intercept of (-5,0) therefore 1 solution

Answer:

vertex: (-5,0)

axis of symmetry: x=-5

some points: (-7,4)(-6,1)(-5,0)(-4,1)(-3,4)

anyone know questions 9 and 10

Answers

Answer:

8.j     9.b   10.f    11.a

Step-by-step explanation:

you welcome

9. Constants are the value that stays the same and cannot be changed, other words, it does not contain a variable.
In the equation, 15 does not have a variable.

Solution: B. 15

10. Perimeter is all the side lengths combined; add them all up.
(4x - 10) + (2x + 6) + 5x
Combine the like terms
11x - 4 units

Solution: H. (11x-4) units

The length of two sides of a triangle are 4 inches and 7 inches.

What is the area to that triangle?

Answers

Answer:

Hi! answer: Area = 14

Step-by-step explanation:

When finding area we do base x height ÷ by 2

So I do 7 x 4 = 28 then I divide that by 2 and get 14 Hope this helps!

There is a classic game called “Rock, Paper, Scissors.” Two people play by counting to 3 together, then making a hand gesture to resemble paper (hand flat, palm down), rock (fist), or scissors (two fingers extended).
• When paper and rock are shown, paper wins the round.
• When paper and scissors are shown, scissors wins the round.
• When rock and scissors are shown, rock wins the round.
• When both players show the same thing, the round is a tie.





Using the site: Rock, Paper, Scissors to play Rock, Paper, Scissors. You will scroll down until you see the hand. Then click on Generate to begin game.

Play 3 rounds of 10, using the same gesture for each round. Record what gesture was used by you, the gesture used by the computer, and the result.

Round 1:
My Option: Rock

Computer Scissors Paper Scissors Scissors Rock Scissors Scissors Rock Rock
Winner? Win Lost Win Win Tie Win Win Tie Tie

Round 2:
My Option: Paper

Computer Scissors Paper Scissors Rock Rock Rock Paper Rock Rock
Winner? Lost Tie Lost Win Win Win Tie Win Win

Round 3:
My Option: Scissors

Computer Rock Paper Rock Rock Scissors Paper Rock Rock Paper
Winner? Lost Win Lost Lost Tie Win Lost Lost Win




1. Is the event “win the round” dependent on another event? Explain your reasoning.






2. Create a graph of your data. Make sure to label your graph and that the graph is appropriate for the type of data you have.










3. Choose an event that you think might influence the probability of winning, then analyze the data using probability to determine whether the event you chose to study is independent of winning. Provide evidence to support your claim.



Answers

Answer:

Round 1: rock

Round 2: scissors

Round 3: paper

Step-by-step explanation:

YOUR DATA TABLES

Round 1: TIE

Round 2: LOST

Round 3: WIN

24 4/8 - 19 5/8 STEP BY STEP EXPLANATION

Answers

Answer:

First, in order to subtract these two fractions you must convert it into improper fractions. For the first one, we can convert it by multiplying the denominator by the whole and adding the numerator which would give you 196/8 for the first one and 157/8 for the second one. This equation would now set up as 196/8-157/8 which would be 39/8 and since you need to convert it back into a mixed fraction we need to know how many times 8 can go into 39 which is 4 so 32 and a remainder of 7. Your answer would be 4 7/8

Step-by-step explanation:

PLS HELP ME ILL MARK BRAINLIEST JUST PLEASE

Answers

Answer:

area of figure (a) = 152cm²

.

.

.

.

.

.

.

.

same method will be used to solve ( b) and (c)

solve x squared + 5x + 6​

Answers

Answer:

(x+3)(x+2)

Step-by-step explanation:

Equation: x^2+5x+6

x^2+3x+2x+6 (factored 5x)

seperate

x^2+3x     /      2x+6

(x+3)             (x+2)

Answer: (x+3)(x+2)

Miyoko bought 3 packages of tape that each had 1 yard 2 feet of tape in them how many inches of tape did miyoko buy?

Answers

Answer: 180 inch

Step-by-step explanation:

Given

Miyoko bought 3 packages of tape

Each tape has 1 yard and 2 feet of tape

[tex]1\ \text{yard}=3\ \text{foot}[/tex]

[tex]1\ \text{ft}=12\ \text{inch}[/tex]

converting yard to feet

[tex]\Rightarrow 3+2=5\ ft[/tex]

Convert feet to the inch

[tex]\Rightarrow 5\times 12=60\ \text{inch}[/tex]

For 3 tapes, it is

[tex]\Rightarrow 60\times 3=180\ \text{inch}[/tex]

Thus, the total tape is [tex]180\ \text{inch}[/tex]

What is the volume of the prisms

Pls help me im dying

Answers

Answer:

C.  3240 cm³

Step-by-step explanation:

Volume formula is:

V = Bh

Find base area first:

B = 6*1/2*12*10 = 360 cm²

Find the volume:

V = 360*9 = 3240 cm³

Correct choice is C

Shannon has 68 more rubber bands than Ellen. Ellen has r rubber bands. Write an expression
that shows how many rubber bands Shannon has.

Answers

68 + r

you know that shannon has 68 more, and they straight up give you the variable for ellen

The price of 2 pears and 6 apples is $14. The price of 3 pears and 9 apples is $21. Can you determine the unit prices for pears and apples?

really need help 30 points so dont scam me xD

Answers

Answer:

If 2p + 6a = $14

and 3p + 9a = $21

 then the following would also be true:

 1p + 3a = $7

 

If p = pear and a = apple, how much would each cost?  The unit prices can be determined by looking at the pattern. You can use multiplication to solve the problem.  

 For example, 1p + 3a*2 = $7

 

p = $1/each

a = $2/each or $6 total

Something that is calculated and planned is:
a. premeditated c. thoughtful
b. cruel d. implicated

Answers

Answer:

the answer is premeditaitied or a

Step-by-step explanation:

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