1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Deffense [45]
3 years ago
14

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 th

e 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.
Mathematics
1 answer:
Ierofanga [76]3 years ago
8 0

Answer:

The answer is "12 inches".

Step-by-step explanation:

Please find the image file of the graph.

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

EB = 2x, FB = 2x,\ and \ CF = x when AE is called by x.

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

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

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

\to AE + EB + BF + FC + CD + DA = 32\\\\\to x + 2x + 2x + x + x + x = 32\\\\\to 8x = 32\\\\\to x = 4

Therefore the length of BC = BF + FC = 2x + x = 3x = 12\  inches

You might be interested in
Find the solution of this system of equations 5x - 6y =-90 -10x - 6y =-90
ExtremeBDS [4]

5x - 6y = -90

-10 x - 6y = -90

Subtracting,

15x = 0

x = 0

y = -90/(-6) = 15

Answer: x=0, y=15


8 0
4 years ago
Please help <br>is this a function or not ​
JulsSmile [24]
It’s not a function cause the x is repeating
8 0
3 years ago
Read 2 more answers
Suppose that P(A) = 0.25 and P(B) = 0.40 . If P(A|B)=0.20 , what is P(B|A) ?
Ket [755]

Answer:

  • 0.32

Step-by-step explanation:

<u>Use of formula:</u>

  • P(A and B) = P(A)*P(B|A) and
  • P(A and B) = P(B)*P(A|B)

<u>According to above and based on given:</u>

  • P(A)P(B|A) = P(B)P(A|B)
  • P(B|A) = P(A|B)*P(B)/P(A)
  • P(B|A) = 0.20*0.40/0.25 = 0.32
8 0
3 years ago
Given tanø=(4/3) and 0&lt;ø&lt;(3pi/2) find cos20
ycow [4]

Answer:

Step-by-step explanation:

hello :

here is an solution

5 0
3 years ago
What is the solution to log2(2x^3 - 8) - 2log2x = log2x?
Natalka [10]
The answer to the problem is x=2
7 0
3 years ago
Other questions:
  • Used to locate a point on a coordinate plane
    12·1 answer
  • <img src="https://tex.z-dn.net/?f=The%20sum%20of%20two%20numbers%20is57%20and%20the%20difference%20is3%20.%20What%20are%20the%20
    14·2 answers
  • 60 is 10 times as much as what? 60<br> is 1/10 of what?
    12·1 answer
  • Graph the system of equations.<br> 2x - y=4<br> 1 x - y = -2
    15·1 answer
  • Please help! I tried 1/4 and its wrong.
    14·2 answers
  • Given 36 − 9, simplify the expression using the Difference of Squares.
    7·1 answer
  • Is (3,11) a solution to the equation y= 5x-4
    14·1 answer
  • ILL BRAINLIEST YOU PLEASE HELP ME
    6·1 answer
  • Please help me ASAP this is hard
    9·1 answer
  • Juan has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!