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
Lemur [1.5K]
3 years ago
13

Find the measure of AB

Mathematics
1 answer:
Sidana [21]3 years ago
8 0

Answer:

AB = 7

Step-by-step explanation:

When 2 secants intersect a circle from an external point, then

CB × CA = CD × CE, that is

5(5 - 4 + x) = 6(6 + 4) ← simplify left side

5(1 + x) = 6 × 10 ← distribute left side

5 + 5x = 60 ( subtract 5 from both sides )

5x = 55 ( divide both sides by 5 )

x = 11

Hence

AB = - 4 + x = - 4 + 11 = 7

You might be interested in
Which value of x makes this equation true? –5(– 20 ) = 35 <br>A. -11<br>B. -3 <br>C. 13 <br>D. 27​
kirza4 [7]

Answer:

c

Step-by-step explanation:

its right

3 0
2 years ago
Read 2 more answers
What is the domain of (49,infinity) in inequality form?
valentinak56 [21]
(a,b)=\{x|a\ \textless \ x\ \textless \ b\}

In our case:

(49,\infty) \Rightarrow 49\ \textless \ x
3 0
3 years ago
While travelling, john left destination a at 9 am. driving until 7 pm, he travelled a total of 500 miles. the next day, john lef
aleksklad [387]

Answer:

10 hours 500  miles

8 hours 270 miles

_________________

18 hours 770 miles

Average speed: 770 / 18 = 42.77;

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Sum of all natural numbers from100to300 which are divisible by 4and 5 is​
My name is Ann [436]

If x is a number that is both divisible by 4 and 5, then

\begin{cases}x\equiv0\pmod4\\x\equiv0\pmod5\end{cases}

4 and 5 are coprime, so we can use the Chinese remainder theorem to solve this system and find that x=20n is a solution to the system, where n is any integer. Simply put, any multiple of 20 fits the bill.

Now, there are 11 numbers between 100 and 300 that are divisible by 20 (100, 120, 140, and so on). We have 20n=100 when n=5, so the sum we want to compute is

\displaystyle\sum_{n=5}^{15}20n=\boxed{2200}

4 0
3 years ago
maria put two angles together to form a straight angle. One angle measures 112 degrees. what is the measure of the other angle?
Kitty [74]

its the same angle 112 degrees


3 0
3 years ago
Read 2 more answers
Other questions:
  • How can we tell if a number is divisible by 4?
    9·1 answer
  • Simplify<br> 3i (2 - 11i)
    9·2 answers
  • Are the triangles congruent?<br><br>a-yes<br>b-no<br>c-not enough information<br>​
    13·1 answer
  • If 2 is added to both the numerator and denominator of a fraction its value becomes half. If two is subtracted from both the num
    9·1 answer
  • What number should be added to both sides of the equation to complete the square x^2+8x=4​
    12·2 answers
  • Convert to slope intercept form y-4=6(x-3)
    7·1 answer
  • Which of the following is a factor from problem #1?<br><br> 1) X^2 -3x -10
    7·1 answer
  • Hi! Can someone please help me, I would appreciate it!
    8·1 answer
  • Determine the value(s) of x at which the function f(x)=x⁴-8x² +2 has a horizontal tangent. ​
    15·1 answer
  • The volume of this cylinder is 2,034.72 cubic inches. What is the radius?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!