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
Tamiku [17]
3 years ago
5

PLEASEEEEEEE HELP ME!

Mathematics
1 answer:
posledela3 years ago
8 0

Answer:

DC = 6

Step-by-step explanation:

Given in the question,

radius = 3x

tangents to the circle = 12 + 5x and 8 + 7x

If you draw line from A to D, two right angle triangle will be form ADC and ADB

having radius  = 3x

<h3>By using pythagorus theorem</h3><h3>hypotenuse² = base² + height²</h3><h3 />

Since, both triangle share same hypotenuse AD

so,

<h3>     ΔADC                        ΔADB</h3><h3>base² + height² = base² + height²</h3><h3 />

3x² + (8 + 7x)² = 3x²  + (12 + 5x)²

3x² will be cancel out

(8 + 7x)² =  (12 + 5x)²

64 + 112x + 49x² = 144 + 120x + 25x²

rearranging like terms

49x²-25x² +112x - 120x + 64 -144 = 0

24x² - 8x - 80 = 0

(x- 2)(x + 5/3)

x = 2

x = -5/3 rejected as radius can't be negative

So,

length of radius = 3x = 6

You might be interested in
Pls help me. The one with the symbol are the answer choices for the questions
SIZIF [17.4K]

Answer:

∈

Step-by-step explanation:

∈ symbol indicates the data set on the left side is fully included in the data set on the right side

3 0
3 years ago
One angle of a triangle measures 136°. The other two angles are congruent. Enter and solve an equation to find the measure x of
Juliette [100K]

<u>136 + x + x = 180. Or, to simplify, 136 + 2x = 180. The congruent angles measure 23 degrees each.</u>

We know this because of a simple rule that goes for all triangles: The measures of all three angles in a triangle will <em>always</em> add up to 180 degrees.

One angle of a triangle measures 136 degrees. The other two angles are congruent (have the same measure).

(x stands for an unknown angle measure.) So the equation we would use is 136 + 2x = 180. We can solve this within a few steps.

1. We subtract 136 from 2x in order to isolate 2x. But if we subtract something from the left side of the equation, we have to subtract it from the right side too. Otherwise the equation will be wrong; We would be taking away the balance.

2x = 180 - 136

2. Now that 2x is isolated, we solve 180 - 136.

2x = 46

3. If we know now that 2x is equal to 46, how do we find out what x is equal to? We divide by 2 (on both sides or it'll be wrong) to get x.

2x = 46

2x/2 = 46/2

x = 23

Now we know! x = 23... The other two angles are both 23 degrees. We can check to see if that's right by solving 23 + 23 + 136... Does it add up to 180? Yes! :)

7 0
3 years ago
What’s the answer to 2x2
Umnica [9.8K]

the answer to 2x2 is 4 so 2 x 2= 4

6 0
3 years ago
Read 2 more answers
What is 16 over 32 simplified
Vinvika [58]
Alright, so to simplify we would take the largest number that would go into both 16 and 32 and divide both numbers by that. Do you know what that would be?
7 0
3 years ago
Read 2 more answers
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
Ronch [10]

Answer:

The answer is A, parallel.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Determine the equation of each of the following parabolas
    11·1 answer
  • A test statistic is found to have a P-value of .015. Which of the following statements are true?
    5·1 answer
  • Identify this conic section. 9x 2 + 4y 2 = 36 line hyperbola circle ellipse parabola
    14·1 answer
  • How to find coordinates -2,4<br>​
    13·2 answers
  • What is the product ? Sorry picture isn’t good
    6·1 answer
  • Acar is traveling at 65 miles per hour. What happens to the number of miles when the number of hours changes?
    12·1 answer
  • What is the equation of the line that passes through the points (5,-6) and (-9. 10) ? Write the equation in point-slope form.​
    15·1 answer
  • Help me on my geometry homework? :/
    7·1 answer
  • What is the sum of the first 20 terms of the series below?
    5·2 answers
  • Suppose y varies directly with x, and y = 16 when x = -4. Find x when y = 24.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!