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

The Osborn family goes out to dinner, and the price of the meal is $60. The sales tax on the meal is 7%, and they also want to leave a 15% tip. What is the total cost of the meal?

Answers

the total cost of the meal is $73.83

Solve x + 10 > 14. Then graph the solution.

Answers

Answer:

x>4

Step-by-step explanation:

How do I solve this arithmetic sequence?

Answers

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

Which statement is true about the equation

It has no solution.
It has one solution
It has two solutions.
It has infinitely many solutions.

Answers

Answer:

it has one solution which is 4

Answer:

hope this helps you......

i hate doing my brothers work what is it?

Answers

Answer:

The answer is -0.7

Step-by-step explanation:

is the right answer

Answer:

-0.7

Step-by-step explanation:

Multiply-

Or use a calculator-

Ike's igloo sold 501 ice cream cones today.They sold half as many chocolate ice cream cone as vanilla ones. How many of each were sold?

Answers

Answer:

Chocolate cones = x = 167 cones

Vanilla cones = y = 334 cones

Step-by-step explanation:

Let

The number of Chocolate cones = x

Vanilla cones = y

Ike's igloo sold 501 ice cream cones today.

x + y = 501.... Equation 1

They sold half as many chocolate ice cream cone as vanilla ones.

x = 1/2y

x = y/2

Cross multiply

y = 2x

We substitute 2x for y in Equation 1

x + 2x = 501

3x = 501

x = 501/3

x = 167

Solving for y

y = 2x

y = 2 × 167

y = 334

Therefore,

The number of

Chocolate cones = x = 167 cones

Vanilla cones = y = 334 cones

Calcula el área de este hexágono. Datos: -lados 8 cm² -apotema 3'7cm²

Answers

Respuesta:

88,8 cm²

Explicación:

Consideremos un hexágono regular. Su apotema, la distancia más corta entre el centro del hexágono y uno de sus lados, es 3,7 cm y sus lados miden 8 cm.

Primero debemos calcular su perímetro, que es igual a la suma de sus 6 lados.

Perímetro = 8 cm + 8 cm + 8 cm + 8 cm + 8 cm + 8 cm = 48 cm

Luego, podemos calcular el área del hexágono usando la siguiente fórmula:

Area = Perímetro × Apotema / 2

Area = 48 cm × 3,7 cm / 2 = 88,8 cm²

Help please ! 11x+4<15 or 12x+7>-25

Answers

Answer:

A

Step-by-step explanation:

From the first inequality,we got:

11x+4<15

11x<11

x<1

From the second inequality,we got:

12x>-18

x>-3/2

Combine it together we got

-3/2<x<1

Answer:

All values of x are solutions

Step-by-step explanation:

7 3/4 + 3 5/6 - 1 3/4​

Answers

Answer:

This does not have to be complicated.

Just subtract 1 3/4 from 7 3/4 to get 6. Now add the 3 5/6 to that for a total of 9 5/6

Step-by-step explanation:

Ms. Robinson has $75 in her bank account and is depositing $15
each week. Ms. LaSpina has $225 in her bank account and is
withdrawing $10 each week. How many weeks will it take for the
bank accounts to have the same amount? What will that amount
be?

Answers

Answer:

It will take 6 weeks

Step-by-step explanation:

Ms. Robinson: 75+15(6)=$160

Ms. LaSpina: 225-60 =$160

Therefore both will take 6 weeks

solve the inequality 4x + 6>22

Answers

Answer:

it is x>4 I solved it out.

What is the probability of drawing an even numbered card, keeping it, and then drawing another even numbered card from a stack of 24
cards numbered 1 to 247
Oct
O
С C
46

Answers

Answer: 1/4

Step-by-step explanation:

In a stack of 24, the 2 mediums are odd and even cards in this question. This means that 1/2 the cards are even and 1/2 are odd. To get a even card once is a 1/2 chance, then to get it again is 1/2 x 1/2 chance or 1/4 chance. This is what I think.

Find the area. 7 in. 5 in. 12 in. ​

Answers

Answer:

I believe its 47.5

Hope this helps!

Answer:

142.5

Step-by-step explanation:

1/2×5×(7+12)=142.5

Select all statements that show correct reasoning for finding 15 ÷ 2/9 * Multiply 15 by 2, then divide by 9. Multiply 15 by 9, then divide by 2. Multiply 15 by 1/9, then multiply by 2. Multiply 15 by 9, then multiply by 1/2

Answers

Answer:

Multiply 15 by 9, then divide by 2.

Step-by-step explanation:

We need to solve the given expression.

[tex]15\div \dfrac{2}{9}[/tex]

We know that, [tex]a\div \dfrac{b}{c}=a\times \dfrac{c}{b}[/tex]

We have,

a = 15, b = 2 and c = 9

So,

[tex]15\div \dfrac{2}{9}=15\times \dfrac{9}{2}\\\\=\dfrac{15\times 9}{2}\\\\=\dfrac{135}{2}\\\\=67.5[/tex]

So, the steps are "Multiply 15 by 9, then divide by 2".

How many ounces are in 1 pint?

Answers

16. i said “hey siri how many ounces are in 1 pint she said “16 fluid ounces” your so welcome❤️❤️

help I don’t know how I’m supposed to do this

Answers

Answer: So, you got the length of side C. You now need to find what 10 is squared, then what plus what (in squared gates you there). A squared plus B squared is C squared. It is basic Pythagorean Threom.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

For this I think you should know what SOH-CAH-TOA is, if not here.

O=opposite, A=adjacent(side), and H=-hypotenuse. We see they give us the right angle we need to solve, remember that we need the angle to the side of the right angle. Now S=sin, C=cos, T=tan, with these we use them to solve in the calculator. If you don't have a calculator, its going to be hard. But if you have a Ti-84 then set it to Degree mode. Ok moving on, We see they give us the adjacent and the hypotenuse, not the opposite.(from the given angle) So we can take off, SOH and TOA, see it doesn't have or has the incorrect sides. So we have left CAH.

Equation time:

, we see that the x is on top so we just multiply....

[tex]cos36(10)[/tex]= 8.090

I hope this helps!

hello please help i’ll give brainliest

Answers

Answer:

1

Step-by-step explanation:

pls hekp put in sections

Answers

B

0.68 is repeated 8 times elevated with its expressed fraction. Simplesst form will stay the same

(if i had my work that i did on paper for this than i would send it but i cant find it sorry)

(branliest will be appreciated)

Write the equation of the line that passes
through the points (-7,-9) and (-3,-1)

Answers

Answer:

2x + 5

Step-by-step explanation:

I am assuming you are talking about a linear function. If it is, then the equation would be:

2x + 5.

Hope this helps!

Answer:

[tex]y = 2x + 5[/tex]

Step-by-step explanation:

For this example, I used the slope-intercept form, [tex]y = mx + b[/tex], where m represents the slope and b represents the y-intercept.

In order to find the equation, we must find the slope and y-intercept.

Finding m

The slope can be found with the formula:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex], where the x and y variables represent different x and y values from the given points.

Substituting in values from the points, we get:

[tex]m = \frac{-1 + 9}{-3 + 7}\\\\m = \frac{8}{4}\\\\m = 2[/tex]

Finding b

In order to find the y-intercept, we must substitute the slope back into the original equation:

[tex]y = 2x + b[/tex]

After this, we must also substitute either of the two points. Both will give the correct answer, but (-3, -1) will be used for this example.

[tex]-1 = 2(-3) + b\\-1 = -6 + b\\5 = b[/tex]

Finding the equation

After this, all that must be done is to substitute the values for b and m back into the original equation.

[tex]y = 2x + 5[/tex]

To check our work, we can substitute in either of the given points. For demonstration purposes, (-7, -9) will be used.

[tex](-9) = 2(-7) + 5\\-9 = -14 + 5\\-9 = -9[/tex]

help me out, thank you !

Answers

Answer: 12.4

Explanation: a ^2 +b^2 = c^2
7^2 + 10.2^2 = c^2
49 + 104.04=c^2
153.04 =c^2
c ≈ 12.37
Round: 12.4

Solve for x
[tex]2x + 5 = 15[/tex]

Answers

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:2x+5=15}\ [/tex]

2x=15-5

x=10/2=5

Hope it helps you.

Have a good day.

A company sells $982 worth of
merchandise this month. This is $40
more than twice the amount
they sold last month. Write a equation
to determine how much they sold
last month.

Answers

Answer:

2x+40=982

Step-by-step explanation:

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Answers

SA= 246
if this is right please mark as brainliest

There are 70 dogs and 55 cats at the shelter. 15 of these animals get adopted . What is the percent of the animals that got adopted

Answers

Answer: 12%

Step-by-step explanation:

Given

There are 70 dogs and 55 cats at the shelter

If 15 animals are adopted

Total no of animals =70+55=125

Percent of animals adopted is given by

[tex]\Rightarrow \dfrac{\text{Animals adopted}}{\text{Total animals}}\times 100\\\\\Rightarrow \dfrac{15}{125}\times 100=12\%[/tex]

True or False: A secant passes through a circle once where as a tangent passes through a
circle twice.

Answers

Answer:

false

Step-by-step explanation:

A secant of a curve is a line that intersects the curve at least twice.

PLS HELP ME THIS IS Probability (Single event) PLS HELP ME

Answers

Answer: I would say 50%

Step-by-step explanation: Because there is a 50 50 chance on getting heads or tails.

Answer:

I believe it is a 50% chance because there are only two sides to the coin. 100 divided by two is 50.

Step-by-step explanation:

I'm not sure if that is the way you are supposed to solve it. Sorry if the answer is incorrect.

How do I find the circumference?

Answers

The formula for circumference is 2(3.14)r
r = radius


[tex]x + y = 0 \\ y = {x}^{2} + 2xy[/tex]

can any one tell this answer with dafination and all steps​

Answers

Answer:

(1, -1)

Step-by-step explanation:

Given the expression

x+y = 0 .....1

y = x²+2xy ....2

From equation 1, x = -y

Substitute into 3

y = x²+2xy

y = (-y)²+2(-y)y

y = y²-2y²

y = -y²

1 = -y

y = -1

Since x = -y

x = -(-1)

x = 1

Hence the required solution is (1, -1)

f(-3)=x^2+4

just need help with this

Answers

Step-by-step explanation:

f(-3)=(-3)^2+4

=9+4

=13

hope it helps u dear friend

Answer:

Step-by-step explanation:

Given

f(x) = x² + 4

Now

f(- 3) = (-3)² + 4

       = 9 + 4

       = 13

hope it helps :)

A - 3/4 = 1/8 step by step explanation

Answers

Answer:

A-3/4=1/8 is the equation, if you expand 3/4 it is 6/8, in order to get 1/8 you need to subtract 6/8 from 7/8

7/8-6/8=1/8 therefor A=7/8

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