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
Alekssandra [29.7K]
2 years ago
7

Please help asap!the problem is in the picture

Mathematics
1 answer:
ladessa [460]2 years ago
8 0

Given:

AB=6\ BC=r,\ CD=r,\ AD=12.

To find:

The value of r.

Solution:

We have,

AB=6\ BC=r,\ CD=r,\ AD=12.

We know that the radius is perpendicular to the tangent at the point of tangency

AD is the tangent and CD is the radius. So, CD is perpendicular to AD at point D, i.e., m\angle D=90^\circ.

Using Pythagoras theorem, we get

AC^2=AD^2+CD^2

(6+r)^2=12^2+r^2

36+12r+r^2=144+r^2

12r=144+r^2-36-r^2

On further simplification, we get

12r=108

r=\dfrac{108}{12}

r=9

Therefore, the value of r is 9.

You might be interested in
I need solving 4.8 (x+4)=2.6
victus00 [196]
<span>4.8 (x+4)=2.6
Use distributive property
4.8x + 19.2= 2.6
Subtract 19.2 from both sides
4.8x = -16.6
Divide 4.8 on both sides so that the only thing remaining on the left side is the variable x.
Final Answer: x = -3.458</span>
7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bs-1%7D%7B4%7D%3D%20%5Cfrac%7B4%7D%7B8%7D%20%20%3Cbr%3E%0Asolve%20for%20s" id="Tex
alex41 [277]
Simplify <span /><span><span><span><span><span><span><span><span><span>4</span><span /></span><span><span>8</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>48</span></span> to <span /><span><span><span><span><span><span><span><span><span>1</span><span /></span><span><span>2</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>12</span></span>
<span /><span><span><span><span><span><span><span><span><span><span>s</span><span>−</span><span>1</span></span><span /></span><span><span>4</span><span /></span><span><span /><span /></span></span></span><span>=</span><span><span><span><span>1</span><span /></span><span><span>2</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>s−14=12</span></span>
2<span> </span>Multiply both sides by <span /><span><span><span><span><span><span>4</span></span><span /></span></span><span /></span><span>4</span></span>
<span /><span><span><span><span><span><span>s</span><span>−</span><span>1</span><span>=</span><span><span><span><span>1</span><span /></span><span><span>2</span><span /></span><span><span /><span /></span></span></span><span>×</span><span>4</span></span><span /></span></span><span /></span><span>s−1=12×4</span></span>
<span> </span>Simplify <span /><span><span><span><span><span><span><span><span><span>1</span><span /></span><span><span>2</span><span /></span><span><span /><span /></span></span></span><span>×</span><span>4</span></span><span /></span></span><span /></span><span>12×4</span></span> to <span /><span><span><span><span><span><span><span><span><span>4</span><span /></span><span><span>2</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>42</span></span>
<span /><span><span><span><span><span><span>s</span><span>−</span><span>1</span><span>=</span><span><span><span><span>4</span><span /></span><span><span>2</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>s−1=42</span></span>
Simplify <span /><span><span><span><span><span><span><span><span><span>4</span><span /></span><span><span>2</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>42</span></span> to <span /><span><span><span><span><span><span>2</span></span><span /></span></span><span /></span><span>2</span></span>
<span /><span><span><span><span><span><span>s</span><span>−</span><span>1</span><span>=</span><span>2</span></span><span /></span></span><span /></span><span>s−1=2</span></span>
Add <span /><span><span><span><span><span><span>1</span></span><span /></span></span><span /></span><span>1</span></span> to both sides
<span /><span><span><span><span><span><span>s</span><span>=</span><span>2</span><span>+</span><span>1</span></span><span /></span></span><span /></span><span>s=2+1</span></span>
Simplify <span /><span><span><span><span><span><span>2</span><span>+</span><span>1</span></span><span /></span></span><span /></span><span>2+1</span></span> to <span /><span><span><span><span><span><span>3</span></span><span /></span></span><span /></span><span>3</span></span>
<span /><span><span><span><span><span><span>s</span><span>=</span><span>3</span></span><span /></span></span><span /></span><span>s=3
</span></span>
7 0
3 years ago
Read 2 more answers
In the diagram shown, line m is parallel to line n. Robert says that ∠2 and ∠7 are supplementary angles. Is he correct? Why or w
bekas [8.4K]

Robert is not correct because in order for it to be supplementary the angles have to be consecutive interior

6 0
3 years ago
I don't really know on this one. I'm thinking it's because if T kept going it would go into a 3rd quadrant but I'm not too sure.
enyata [817]
That is correct since the line in T is not straight it would eventually hit the third quadrant
<span />
8 0
3 years ago
I need help in this qs :0
n200080 [17]

Answer:3x+6=2x+21 base angle of isosceles triangle

3x-2x=21-6

X=15

<J=3×15+6=51

<k=2×15+21=51

,<I=180-51-51=78

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Allen is traveling 65 MPh. how many hours will it take for him to travel 585 miles?
    5·1 answer
  • If a person wanted to purchase their dream car, and keep it for many years, should they lease or buy?
    13·1 answer
  • Justin and Eric found a freshly baked cherry pie.
    15·1 answer
  • R+5/6=2/3<br><br> Solve for R
    13·1 answer
  • What divided by 63 equals 9
    9·2 answers
  • What is the solution of the inequality shown below? c + 9 greater than or equal to 1
    9·1 answer
  • 10. Ms. Lee makes 55% of her free throws. She will be attempting two free throws. Ms. Lee makes the first one. What is the proba
    8·2 answers
  • Whats 2-2 i dontget answerssssss need help i just need to
    7·1 answer
  • Which of the numbers below is less than −72? Select all that apply.
    12·1 answer
  • The length of a rectangle is 5cm more than its width. The perimeter of the rectangle is 46cm. Find the length and width of the r
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!