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

Continent
Number of cars produced
Africa
636 519
Asia/Oceania
45 800 878
Europe
19 726 405
North America
21 136 313
South America
4 288 654
How many more cars were produced in North and South America
than in Europe and Africa?

Answers

Answer:

5062043

Step-by-step explanation:

add the numbers for north and south America, add the numbers for Europe and Africa, and than subtract them. (north America+south America) - (Europe + Africa) = answer

Liah randomly selected 25% of the seventh-grade students in her school and asked
them their favorite season. Of the students surveyed, 53 chose summer as their
favorite season. Based on the data, what is the most reasonable prediction of the
number of seventh-grade students in her school who would choose summer as their
favorite season?

Answers

Answer:

212

Step by Step Explanation:

out of 1/4 of the school, 53 chose summer

53*4=212

What is the value of x?
Enter your answer in the box.

Answers

Answer:

183

Step-by-step explanation:

982

Answer:

45

Step-by-step explanation:

You can use the degrees to find the answer. A right triangle always adds up to 180 degrees. The right angle is 90 degrees.

X + Angle A + Angle B = 180 degrees.

Substitute.

X + 90 degrees + 45 degrees = 180 degrees.

Add them up.

x + 135 degrees = 180 degrees.

now subtract 135 from both sides.

x = 45

The equation y=36x represents the relationship between x the number of yards and y the number of inches.

Which ordered pair represents the number of yards and number of inches?

(2,72) (4,40) (5,180) (40,4) (72,2) (180,5)

Answers

Answer:

(2 , 72) and (5 , 180)

Step-by-step explanation:

Options A (2 , 72) and C (5 , 180) will be the correct options.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

we are Given equation representing the relation between two variables 'x' and 'y' is,

y = 36x

Here, y = yards and x = inches

Now Satisfy this equation with each point given in the question;

Option A. (2, 72)

72 = 36 × 2

72 = 72

This is True

Option B. (4, 40)

40 = 36 × 4

40 = 144

This is False

Option C. (5, 180)

180 = 36 × 5

180 = 180

This is True

Option D. (40, 4)

4 = 36 × 40

4 = 1440

This is False

Option E. (72, 2)

2 = 36 × 72

2 = 2592

This is False

Option F. (180, 5)

5 = 36 × 180

5 = 6480

This is False

Therefore, Options (A) and (C) will be the correct options from all the other

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

Which of the following is equal to
5
?
4
А
B
-6).
С
-(0)
D
-()

Answers

Answer:

D

Step-by-step explanation:

the negative signs in the numerator and denominator negate each other.

Find the surface area of the figure below. Leave answer in terms of TT. Round to the nearest hundredth if necessary,
18 km
3247 km2
Ob
4227 km2
Ос
3447 km
Od
12967 km2

Answers

Answer:

Surface area of the figure = 1,296π km²

Step-by-step explanation:

Given figure is a sphere;

Given:

Radius of sphere = 18 km

Find:

Surface area of the figure

Computation:

Surface area of the figure = Surface area of sphere

Surface area of sphere = 4πr²

Surface area of the figure = 4πr²

Surface area of the figure = 4π(18)²

Surface area of the figure = 4π(324)

Surface area of the figure = 1,296π km²

hiii need help again thank youuu:)

Answers

Answer:

678.58 ft^3

Step-by-step explanation:

V=πr2h/3

25.12/12.5663706 = 1.99898608

1.99898608 X 3 = 5.99695826

h= 6ft

6/2 = 3

6 * 3 = 18

V = π * 6^ * 18/3

V = 678.584013

i need to find the answer for this cause i'm doing work for math class

Answers

Answer:

See below

Step-by-step explanation:

Let's convert the two fractions.

The two categories are now closest to -0.6 and closest to 0.8.

Closest to -0.6 or -3/5: -0.2, -4/5,

Closest to 0.8 or 4/5: 0.6, 2/5

PLZZZ HELP ME!!!

Find the volume of the pyramid.

An oblique rectangular pyramid with a base length of 3 centimeters and a width of 1 centimeter. The pyramid has an altitude of 7 centimeters.

Answers

V=lwh/3

=3*1*7/3

=21/3

=7

Hope you like my answer.

Answer:

V=7 (Volume)

Step-by-step explanation:

V=lwh/3=3*1*7/3=7

What is 15x - 8x = 35, what is x?
Thank you for your help

Answers

Answer:

x = 5

Step-by-step explanation:

Simplify the like terms:

15x - 8x = 7x

so, 7x = 35

divide: 35/7 = 5

x=5

Is y=(x-6) 2 to the second power linear fraction or nonlinear fraction

Answers

Answer:

Non - linear as for it is not a straight line.

Step-by-step explanation:

To the second power it would make a curve not straight line.

Answer:

Do you mean y = (x-6)^2? If yes, it is NONLINEAR FRACTION

Step-by-step explanation:

If you graph it, it forms a parabola so it is considered as nonlinear fraction/function

please help me OMggggG

I need answers rnn before Tuesday ​

Answers

All angles make up 540°.

Use an algebra expression to clarify this.

9x+7x+15+5x-25+6x+25+6x-3=540

Add like terms.

33x+12=540

33x=528

x=16

What time is shown on this clock?

six forty-three

seven forty-three

eight thirty-two

nine thirty-two

Answers

Answer:

theres no clock

Step-by-step explanation:



1.) Max is driving 42 miles per hour. A dog dog runs into the street and max reacts in about three quarters of a second. What is his approximate reaction distance

Answers

Answer: [tex]14.07\ m[/tex]

Step-by-step explanation:

Given

Max is driving at a speed of [tex]42\ mph[/tex]

It took him three-quarters of a second i.e. [tex]0.75\ s[/tex]

Speed in meter per second is [tex]18.77\ m/s[/tex]

Distance is given by

[tex]d=v\times t[/tex]

Reaction distance is

[tex]d=18.77\times 0.75=14.07\ m[/tex]

xsquared minus 6x =0

Answers

Answer:

x = 0,6

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

The answer I got is x=0 or x=6

The function f(t) = 790(0.994) 60t represents the change in a quantity over t
hours. What does the constant 0.994 reveal about the rate of change of the quantity?

Answers

Answer:

Please check explanations

Step-by-step explanation:

From what we have, the constant term is 0.994

Now, what this mean is that with an increase in the value of t, there will be a decrease in the change of quantity

This is because the rate of change is less than 1

With an increasing value of power, the value of the exponent would be less than its previous value

So what this mean is that we would have less quantities over time since the value of the constant term is less than 1

1. Find the area of the parallelogram.

What is the area?

Answers

67.5in is the answer

Answer:

67.5[tex]in^{2}[/tex]

Step-by-step explanation:

Area of a parallelogram is base x height

The base of the given parallelogram is 9 inches and the height is 7.5 inches

So, its area would be

9 x 7.5

Area equals [tex]67.5^{2}[/tex]

Keep Trying Write two division problems that have zeros in the quotient. One of the problems should have a remainder and the other should not.​

Answers

So basically you must first use the step that got you here

The entrance hall in Black's family house has a perimeter of 71 2/3 ft.IF it is 9 2/5 ft wide, how long is it?

Answers

Answer: 26 13/30 feet

Step-by-step explanation:

The hall is in the shape of a rectangle. The perimeter of a rectangle is:

= 2(length + width)

= 2l + 2w

Since perimeter = 71 2/3 ft and Width = 9 2/5 ft wide, the length will be calculated thus:

Perimeter = 2l + 2w

71⅔ = 2l + 2(9 2/5)

71 2/3 = 2l + (2 × 47/5)

71 2/3 = 2l + 94/5

71 2/3 = 2l + 18 4/5

Collect like terms

2l = 71 2/3 - 18 4/5

2l = 71 10/15 - 18 12/15

2l = 52 13/15

l = (52 13/15 ÷ 2)

l = 793/15 × 1/2

l = 793/30

l = 26 13/30

Therefore, the length is 26 13/30ft

which quadrant contains the point named by (4, -8) sorry i’m rly bad at this!!, 20 pts!

Answers

Answer:

Quadrant 4

Step-by-step explanation:

Hi! Okay, let's get started.

This, would be Quadrant 4, with the x axis positive, and y one negative.

Hope that helps! :)

-Aphrodite

Está situado no quarto quadrante

Please answer- what is the length of BW? ANSWER DIRECTLY NO LINK ( will give brainlist to whoever answers)

Answers

Answer:

148.49

Step-by-step explanation:

105 x √2 = 148.49

have a great day

Write the equation of the line graphed at the right.

Answers

Answer:

x = -3

Step-by-step explanation:

You can see on the graph, it’s going straight vertically. The x value will always be -3 while the y value is infinite.

Answer:

x = -3

Step-by-step explanation:

Please answer this question correctly

Answers

Answer: 44

EC is basically EF times 2

Answer: EC=44

Step-by-step explanation:

Sammie is buying an airline ticket. The ticket costs $125. She earns $12 an hour and has already saved $40. Write an inequality to find out how many hours (h) Sammie needs to work in order to buy her ticket. Do not solve.

Answers

Answer:

125=12x+40

Step-by-step explanation:

Let the number of hours be x

And the total amount be =$125

We already have $40

Hence the expression is

125=12x+40

If we solve for x, the answer gotten is the number of hours

What is 385,734 rounded to the nearest ten thousand?

Answers

Answer:

390,000

Brainliest?

Answer:

390,000.

Step-by-step explanation:

The ten thousand number is 8, and to the right of it is 5 so anything five and over is roundable, so 8 get rounded to 9.

HELP!!!!!!!!


5. chords AB and CD intersect, forming segments with the measurements shown. What is the value of x?​

Answers

Answer:

I don't know if this is correct but I'm pretty sure its C:

explanation: CD is in total 10 in length, The first part of AB is 3 before the lines intersect, AB is larger than CD because of its position, Again i wouldn't totally trust this answer but I think I'm correct

In the following diagram, medians AD and BE intersect at F. Which of the following segments would not be true

1) ECD~ACB
2) EF= 1/2EB
3) ED||AB
4) the median drawn from C would pass through F

Answers

Answer is number 1 you welcome

The segment that is false is (2) EF= 1/2EB

The median lines of a triangle always meet at a point.

This means that the line from point C is true (option 4 is true)

The median divides the side lengths of the triangle into equal segments.

However, the centroid at point F do not divide line EB into equal segments

This means that:

The equation EF= 1/2EB is false

Hence, the segment that is false is (2) EF= 1/2EB

Read more about median and centroid at:

https://brainly.com/question/14317682

Help me I’m not smart

Answers

Answer:

The top one is refraction

Refraction is the bending or change in angle of light

Hope this helps (sorry I don’t have the answer to the second question)

Answer:

1. Refraction

2. Translucent  

Step-by-step explanation:

1. Refraction is the bending of light

2.Translucent Materials are materials that allow light to pass through them. Opaque materials do not allow light to pass through them.

PLEASE HELP 25 PLUS POINTS!!!THIS IS REALLY IMPORTANT

Answers

Answer: A- 12.5 million

Step-by-step explanation: all you have to do is 125% of 10 million and you get 12.5 million.

Answer:

40 million

Step-by-step explanation:

125% of x

125/100 * x = 1.25x

x+ 10 = 1.25x

(subtract x from both sides)

10 = 1.25x - x

10 = 0.25x

(divide both sides by 0.25)

10/0.25 = x

x= 40

One of the legs of a right triangle measures 14 cm and the other
leg measures 9 cm. Find the measure of the hypotenuse. If
necessary, round to the nearest tenth.

Answers

Answer:

16.6

Step-by-step explanation:

[tex]14^{2}+9^{2}= 277\\[/tex]

[tex]\sqrt{277}[/tex]=16.6(rounded)

i think its like 126

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