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]
2 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]2 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
What is the result of subtracting the second equation from the first?<br> -2x+y=0<br> - 7x + 3y = 2
Monica [59]

Answer:

Photomath help you get the answer

Step-by-step explanation:

7 0
3 years ago
Evaluate: (8/27)^-2/3 <br><br> add: sqroot(27) + sqroot (75)
vredina [299]
The answer to the first question
is 2 1/4.
The answer to the second question is 8 sqroot 3. Hope I was able to help

3 0
3 years ago
X to the power of 3=64?​
dangina [55]

Answer:

4

Step-by-step explanation:

x^3 = 64

4^3 = 64

4×4×4 = 64

Thus, the value of x is 4

3 0
3 years ago
There are 100 bacteria in a jar. Every day, the number of bacteria increases 25%. In approximately how many days will there be 5
algol [13]

Use compound interest formula

\\ \rm\Rrightarrow P(1+r/100)^t=500

\\ \rm\Rrightarrow 100(1+0.25)^t=500

\\ \rm\Rrightarrow (1.25)^t=5

\\ \rm\Rrightarrow log(1.25)^t=log5

\\ \rm\Rrightarrow tlog1.25=log5

\\ \rm\Rrightarrow t(0.097)=0.3

\\ \rm\Rrightarrow t=3.3\approx 3

Option A

5 0
2 years ago
Read 2 more answers
Help please I'm trying to get the answer for 3 3/5 divided by 1/6
3241004551 [841]

Answer:

21 3/5

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • I forget how to turn fractions into percent
    12·1 answer
  • Somenone help im faling horribly there is two qestion I need help on any one know both
    10·1 answer
  • What are two composite numbers that each have 8 as a factor
    7·2 answers
  • NEED HELP<br><br> evaluate<br> a+b/c <br> if a = -28 b = -35 and c = -3
    11·1 answer
  • A box weighs 90 grams. Write down, in terms of b, the weight of the boxes.
    11·1 answer
  • Find area round to nearest hundredth
    7·1 answer
  • Please solve :)<br> 2y &lt; y + 2
    7·1 answer
  • At Ice Cream Haven, 14 of the last 18 sundaes sold had nuts. What is the experimental probability that the next sundae sol...
    8·1 answer
  • Only 3 more questions to go
    7·1 answer
  • What is the acceleration of a 1,500-kilogram truck with a net force of 7,500 newtons?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!