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
sineoko [7]
3 years ago
14

Find X. BC is the tangent

Mathematics
2 answers:
pav-90 [236]3 years ago
7 0

Answer:

x = 9

Step-by-step explanation:

The angle formed by the tangent BC and the radius AB is right at B

Thus ΔABC is right with AC as the hypotenuse

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, hence

AC² = AB² + BC² ← substitute given values

(x + 6)² = x² + 12² ← expand squared parenthesis on left side

x² + 12x + 36 = x² + 144 ( subtract x² from both sides )

12x + 36 = 144 ( subtract 36 from both sides )

12x = 108 ( divide both sides by 12 )

x = 9

Arturiano [62]3 years ago
4 0

Check the picture below.

let's recall that the point of tangency  with the radius chord is always a right-angle.

You might be interested in
Samuel spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -14.
nataly862011 [7]

Answer:

The temperature at 9 am = -14.7°F

Between 9am and 12 pm = -14.7 + 17.8 = 3.1°F

Between 12pm and 3 pm = 3.1+5.1 = 8.2°

Between 3pm and 6 pm = 8.2-14.5 = -6.3°F

6 0
3 years ago
Use the four functions below for this question:
Jlenok [28]

Answer:

We have four functions:

For f(x) we have two points (-2,2) and (-1,-1)

we will use two point form which is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

So, on substituting the values we get:

y-2=\frac{-1-2}{-1-(-2)}(x-(-2))

y-2=\frac{-3}{x+2}

y=-3x-4

So, f(x)=-3x-4

We have g(x)=3x-4

Now, we will from h(x) we have two points  let initial point on monday is (0,4) and tuesday (1,1) again use two point form we get:

y-4=-3(x-0)

\Rightarrow y=-3x+4

So, h(x)= -3x+4

Now, we will form j(x) we have three points (2,10) , (-2,6) and (2,22)

We will use (-2,6) and (2,22)  to find the function with two point form.

y-6=\frac{22-6}{2+2}x+2)

\Rightarrow y=4x+14

j(x)= 4x+14

To find the slope we will compare the given function with general equation which is y= mx +c; m is the slope

And to find y-intercept we will put x=0

f(x)=-3x-4

Slope is: -3

And y-intercept is: (0,-4)

g(x)=3x-4

Slope is: 3

And y-intercept is: (0,-4)

h(x)= -3x+4

Slope is: -3

And y-intercept is: (0,4)

j(x)= 4x+14

Slope is: 4

And y-intercept is: (0,14)

8 0
3 years ago
Read 2 more answers
In the month of March, Joe had $60 in his bank account but spent $78, so he now has a debt of $18. In the same month, Kate had $
baherus [9]
Joe's balance is negative $18
Kate's is $8 in the positive.
5 0
3 years ago
Read 2 more answers
Help help help help help help
Advocard [28]

Answer:

Congruent angles and proportional side lengths

Step-by-step explanation:

4 0
3 years ago
What is the second step to solving the equation 4x - 9 = 23 ? *
Dimas [21]

Answer: the Second step is to divide 4 from each sides

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • a small jet can fly 1,435 miles in 5 hours with a tailwind but only 1,215 miles in 5 hours into a headwind. find the speed of th
    9·1 answer
  • Jack and Jill are brother and sister. Jack rakes the yard in 5 hours and Jill rakes the yeard in 8 hours. Mom says to rake the y
    8·1 answer
  • Identify the transformation from f(x) to g(x)
    13·1 answer
  • Please HELP!!!!
    9·1 answer
  • Which statement describes the slope of the regression line in the context of the situation?
    7·1 answer
  • find the first fourth and tenth terms of the arithmetic sequence described by the given rule a (n)=5+(n-1)(1/2)
    13·1 answer
  • Sarah rides her bike three days a week. She rides for 10 minutes a day. How many minutes does Sarah spend riding her bike after
    9·2 answers
  • What is a coefficient?<br><br> please explain correctly
    7·2 answers
  • If you use 2 cups of sugar for every 3 cups of lemon juice how many cups of sugar do you need for 9 cups of juice
    7·1 answer
  • Need answer please show work
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!