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
weqwewe [10]
2 years ago
9

10 points

Mathematics
1 answer:
ollegr [7]2 years ago
5 0

Answer:

FC=25.9

Step-by-step explanation:

<u>Congruent Triangles</u>

The figure shows two triangles FCD and FED. One of their sides is the radius of the circle, they both form a 90° angle with the line CD and ED and they share the same segment FD.

Thus, both triangles are congruent and we have the length of a side (12 units), one common side (the hypotenuse) and one unknown leg that must be equal. Therefore

13x-16=4x+11

Solving

9x=27

x=3

The required side FD is the hypotenuse of any of the triangles. The unknown leg can be calculated by

13x-16=23

Or

4x+11=23

Thus

FD^2=12^2+23^2=673

Solving

FD=\sqrt{673}

\boxed{FC=25.9}

You might be interested in
I need help with finding the equilibrium prices for each one in the table below. I can't seem to understand how to do it. Please
Neporo4naja [7]

Answer:

it might be $0.85 19 i think not 100% sure plz doint report me

Step-by-step explanation:

3 0
2 years ago
Can someone help me please
____ [38]

Answer:

A

Step-by-step explanation:

4×-12

Answer is letter A

hope it help^^

6 0
2 years ago
The solution of a A + B &gt; 12 is a &gt; -3. What is the value of b
IRINA_888 [86]
Can you take a picture
3 0
2 years ago
75% of students were boys. there 18 boys in the class wht is the total number of students
Kaylis [27]

Answer:

the answer is 24.

Step-by-step explanation:

5 0
2 years ago
What is 1 2/3 - (-5 2/3)
arsen [322]

Answer:

the answer is 7.33

Step-by-step explanation:

I used a calculator

6 0
2 years ago
Read 2 more answers
Other questions:
  • Use side lengths to evaluate.<br> tan (π/3)
    6·1 answer
  • Given that 9t-5=103, find the value of t
    13·1 answer
  • What is 2.32 writin in fraction form
    13·2 answers
  • Evaluate the expression when x=-5.<br> x²+9x-6
    7·2 answers
  • Can y’all help me out? t^82=?
    6·1 answer
  • Write a linear function f with the values (-5)=6 and (5)=0 .
    9·1 answer
  • Match them BRAINLIEST IF CORRECT ​
    9·1 answer
  • Milk is sold 1/2 pint bottles in 1 pint bottles and 2 pint bottles
    10·1 answer
  • Question on attached image
    13·1 answer
  • Find FH<br><br> FH = {Blank}
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!