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
SVEN [57.7K]
3 years ago
5

Solve for xfind ACthis is the last question I'm posting ​

Mathematics
1 answer:
denis23 [38]3 years ago
8 0

Answer:

x = 15, AC = 25

Step-by-step explanation:

Given a tangent and a secant from a external point to a circle, then

The product of the external part and the whole of the secant is equal to the square of the tangent.

(9)

12(12 + x) = 18² = 324 ( divide both sides by 12 )

12 + x = 27 ( subtract 12 from both sides )

x = 15

(10)

9(9 + 3x + 1) = 15²

9(3x + 10) = 225 ( divide both sides by 9 )

3x + 10 = 25 ( subtract 10 from both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Then

AC = 3x + 10 = 3(5) + 10 = 15 + 10 = 25

You might be interested in
In rectangle ABCD, the angle bisector of ∠A intersects side DC at point M and the angle bisector of ∠C intersects side AB at poi
Verizon [17]
Perimeter of quadrilateral ANCM = AN+NC+CM+MA

CM=AM = x in
Therefore, AN=NC = x in
In other words, all sides of the new quadrilateral are equal.

Perimeter (P) = 4x in

Now, Cos 45 = (x-6)/x =>0.7041 = (x-6)/x => 0.7041x=x-6 =>x= 6/(1-0.70741)
x= 20.5 in

Therefore, P=4*20.5 = 82 in

7 0
4 years ago
Use elimination to solve the system of equations.<br><br> 3x – 5y = –9<br> x + 2y = 8
nalin [4]

Answer:

x=2

y=3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
-6(w - 4) + 8W=6(w + 2)​
Nesterboy [21]

Answer:

w = 3

Step-by-step explanation:

-6(w - 4) + 8W=6(w + 2)​

-6w + 24 + 8w = 6w + 12

2w + 24 = 6w + 12

12 = 4w

3 = w

7 0
3 years ago
Read 2 more answers
Change the following into mixed fraction 13/5​
Oduvanchick [21]

Answer:

2 3/5

Step-by-step explanation:

13/5​

5 goes into 13 2 time

2*5 =10

13-10 =3

There is 3 left over.  This goes over the denominator

2 3/5

7 0
3 years ago
Read 2 more answers
The circle below is centered at the origin, and the length of its radius is 7. What is the circle's equation. A. 7x+7y=49. B. x^
Scilla [17]
Equation of a circle is: <span>(x−h<span>)2</span>+(y−k<span>)2</span>=<span>r2</span></span> h is the x-coordinate of the center and k is the y-coordinate of the center. Even though the formula has minus signs, those are positive numbers. If there were plus signs in there, the numbers h and k would actually be negative. Now since you're centered at the origin, that means h and k are 0, so you'd just have this: <span><span>x2</span>+<span>y2</span>=<span>r2</span></span><span> Now since your radius is 7, just square it and replace r^2 woth that value :)</span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord
    6·1 answer
  • A principal of 750$ is invested in an account at 9% per year simple interest. What is the account total after 5 years
    14·1 answer
  • What is the answer to this question? x/5 - 13 = 20
    7·2 answers
  • What is bigger 6,200ft or 1mile and 900ft
    7·2 answers
  • Leon charged $75 at an interest rate of 12.5%. How much will Leon have to pay after one month if he makes no payments?
    10·1 answer
  • How can i get better at maths
    7·1 answer
  • Write -8 3/6 as mixed in the simplest number
    13·1 answer
  • Draw a picture of a line and a point that is not on the line. Draw in the shortest distance from the point to the line, What do
    12·1 answer
  • What's the percentage of change from 20 is decreased to 11​
    7·1 answer
  • Steve stopped for a drink of water when he had completed 60% of his jog. He had traveled 3 miles. What is the total distance Ste
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!