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
Svet_ta [14]
3 years ago
11

Given: Two concentric circles with AB tangent to smaller circle at R Prove: AR=RB

Mathematics
2 answers:
disa [49]3 years ago
5 0

Answer:

See explanation

Step-by-step explanation:

If segment AB is tangent to the smaller circle, than AB⊥OR. Consider two right triangles AOR and BOR. In these triangles:

  • OR is common leg;
  • AO=OB as radii of larger circle;
  • ∠ARO=∠BRO, because AB⊥OR.

By HL theorem, ttriangles AOR and BOR are congruent. This gives you that AR=RB.

Alexeev081 [22]3 years ago
5 0

Answer:

R is the mid point of AB so  AR = RB

Step-by-step explanation:

Points to remember

The diameter of a circle and a chord is mutually  perpendicular then the diameter divide the chord in two equal parts.

<u>To prove AR = RB</u>

From the figure we get, AB is the tangent at R of small circle.

Therefore OR ⊥ AB

O is the center of both circles.

AB is the chord of large circle.

So The diameter of large circle passing through R is perpendicular  to AB

Therefore AR = RB

You might be interested in
A line has the same slope as the line 3x+9y=5 and passes though the point (-1,2).what is the equation of the line?
MrRissso [65]

Answer:

y = -1/3x + 5/3

Step-by-step explanation:

First solve the equation. Simply put it is y = -1/3x + 5/9.

So, we have our slope which is -1/3. Now just plug it in.

y - y1 = m(x - x1)

y - 2 = -1/3(x - (-1))

Distribute.

y - 2 = -1/3x - 1/3

Add 2 to both sides

you get y=-1/3x + 5/3

6 0
3 years ago
Suppose that y varies directly with x and y=10 when x=20. What is y when x=15
Likurg_2 [28]

Answer:

y=kx

subst y=10 and x=20 into the above

<em>1</em><em>0</em><em>=</em><em>k20</em>

<em>k</em><em>=</em><em>1</em><em>0</em><em>/</em><em>2</em><em>0</em>

<em>k</em><em>=</em><em>1</em><em>/</em><em>2</em>

<em>therefore</em><em> </em><em>relationship</em><em>:</em><em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>x</em>

<em>subst</em><em> </em><em>x</em><em>=</em><em>1</em><em>5</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>relationship</em>

<em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>(</em><em>1</em><em>5</em><em>)</em>

<em>y</em><em>=</em><em>7</em><em>,</em><em>5</em>

Step by step explanation:

  • Step 1: when they say y varies directly with x they mean<em> y is proportional to x</em>
  • step 2: so y=kx where <em>k is the constant</em>
  • step 3: is to substitute <em>y=10</em> and <em>x=20</em> into the above equation y=kx
  • step 4: you will end up with <em>10=k20</em> then divide both sides by 20 so that <em>k becomes the subject of the formula </em>
  • step 5: your answer from the above will be <em>k=10/20 </em>so the relationship is <em>y is directly proportional to 1/2 x </em>what you did here is that you substituted k for 1/2 in the equation in step 3
  • step 6: is to finally substitute x=15 into the equation <em>y=1/2x</em> to finally get your answer <em>y</em><em>=</em><em>7</em><em>,</em><em>5</em><em>.</em>
4 0
3 years ago
If you flipped the graph of y = x2 + 2x - 2 vertically, you would get the graph of y = -(x2 + 2x - 2). true or false
lyudmila [28]
Hi friend,
If you flipped the graph y=x^2+2x-2 vertically, you would get the graph y=-(x^2+2x-2) TRUE. 
Hope this helps you!
7 0
3 years ago
Read 2 more answers
Which of the following properties is always true for a parallelogram and why ?
posledela
A. Diagonals bisect each other is always true. Each diagonal<span> cuts the </span>other<span> into two equal parts. It is because of the parallel lines in the parallelogram. </span>
5 0
3 years ago
Read 2 more answers
Is (-4, 2) a solution of 4x + 5y &lt; -7?
cupoosta [38]

Answer:

No

Step-by-step explanation:

Substitute the coordinates of the point into the left side of the inequality, evaluate and compare.

4(- 4) + 5(2) = - 16 + 10 = - 6 > - 7

Thus (- 4, 2 ) is not a solution

4 0
3 years ago
Other questions:
  • Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpet's King's installation price $50 but th
    12·1 answer
  • Is it possible to draw a unique triangle with angles measures of 35 degrees 65 degrees and 100 degrees?(explain)
    9·1 answer
  • Plz help!!! Urgent!!! It is a mathematics question, I had attached an picture here.
    7·2 answers
  • In the cafeteria, tables are arranged in groups of 5, with each table seating 7 students.
    12·1 answer
  • Chooseeeeeeeeeeeeeeeee oneeeeeeee plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz and explain ​
    8·1 answer
  • X + 2y when x = 1 and y = 4
    14·2 answers
  • Un obrero gana $ 80 por hora. Si puede trabajar hasta 12 horas por día ¿Cuánto es el máximo que puede ganar en un mes si labora
    11·1 answer
  • Help me please ........
    12·1 answer
  • Solve:<br><br> Picture attached
    11·2 answers
  • A baseball player makes 4 hits every 7 times at bat. At this rate, how many times did you hit if you hit 24 hits? 42 times 96 ti
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!