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
nevsk [136]
3 years ago
5

AB is tangent to O. If AO = 32 and BC = 98, what is AB? my guess is 130? please help!

Mathematics
2 answers:
rjkz [21]3 years ago
8 0
AO=CO
two congruent radii

Triangle ABO is a right-angled triangle

AO=32
BO=BC+CO=98+32=130
AB=\sqrt{(121^2-32^2)}= \sqrt{15876} =126

That is it!

Done :)

Use Pythagoras to calculate AB:



Juli2301 [7.4K]3 years ago
7 0
    
CO = AO  = 32    (Are rays.)
BO = BC + CO = 98 + 32 = 130
AB ⊥ BO
⇒  ΔAOB   is a rectangular triangle.
We use Pitagora's theorem.


\displaystyle\\
AB =  \sqrt{BO^2 - AO^2}  = \sqrt{130^2 -32^2}=\\\\
= \sqrt{16900 -1024}= \sqrt{15876}= \boxed{126 }



You might be interested in
The clock was exactly on time at 7am at 1pm the clock was 228 seconds late at that rate how slow was the clock half an hour
yan [13]

Answer:

19 seconds.

Step-by-step explanation:

Given that the clock was exactly on time at 7am, and at 1pm the clock was 228 seconds late, to determine, at that rate, how slow was the clock half an hour, the following calculation must be performed:

1 PM = 13:00

13 - 7 = 6

228/6 = 38

38/2 = 19

Thus, every half hour the clock is delayed 19 seconds.

4 0
2 years ago
Help Please? GEOMETRY Use the word bank to help you with possible answers (there are extra options that are not to be used)
ipn [44]
Short Answers:

Answer for part A: Definition of perpendicular
Answer for part B: Right Angle Congruence Theorem
Answer for part C: Reflexive Property of Congruence
Answer for part D: Definition of Midpoint
Answer for part E: \triangle SXR \cong \triangle TXR
Answer for part F: CPCTC

-------------------------------------------------------------

Explanations:

Part A:

We are given that \overline{RX} \perp \overline{ST} which means, in english, "line segment RX is perpendicular to line segment ST"

By the very definition of perpendicular, this means that the two line segments form a right angle. This is visually shown as the red square angle marker for angle RXT. Angle RXS is also a right angle as well.

---------------------
Part B:

The Right Angle Congruence Theorem (aka Right Angle Theorem) is the idea that if we have two right angles, then we know that they are both 90 degrees so they must be congruent to one another. 

---------------------
Part C:

Any line segment is congruent to itself. This is because any line segment will have the same length as itself. It seems silly to even mention something so trivial but it helps establish what we need for the proof. 

---------------------
Part D:

We are given "X is the midpoint of segment ST" so by definition, X is in the very exact middle of ST. Midpoints cut segments exactly in half. SX is one half while TX is the other half. The two halves are congruent which is why SX = TX

---------------------
Part E:

Writing \triangle SXR \cong \triangle TXR means "triangle SXR is congruent to triangle TXR". These two triangles are the smaller triangles that form when you draw in segment RX

Side Note: SAS stands for "side angle side". The angle must be between the two sides. The pairing RX and RX forms one of the 'S' letters (see part C), while the pairing SX and TX forms the other 'S' (see part D). The angles between the sides are RXS and RXT (see part B). 

---------------------
Part F:

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"

It means that if we have two congruent triangles, then the corresponding parts are congruent. Back in part E, we proved the triangles congruent. For this part, we look at the pieces RS and RT (which correspond to one another; they are the hypotenuse of each triangle). They are proven congruent by CPCTC

If CPCTC is an odd concept to think about, then try thinking about something like this: you have two houses which are completely identical in every way. We can say that those two houses are congruent. If the houses are identical, then surely every piece that makes up the house is identical to its corresponding piece to the other house. For example, the front door to each house is both the same size, shape, color, made of the same material, designed in the same pattern, etc. So the two doors are congruent as well.
8 0
3 years ago
Jimmy gets a discount of 35% for a pair of sneakers with an original price of $70 he also gets a discount of 25% on a shirt with
Fed [463]

Answer:

$32.00

Step-by-step explanation:

$70 X .35 = $24.50 sneaker discount

$30 X .25 = $7.50 shirt discount

$24.50 + $7.50 = $32.00

5 0
3 years ago
Add and reduce 5 + 3 1/2<br>​
leva [86]

Answer:

30.5

Step-by-step explanation:

I calculated it it might be the answer

6 0
3 years ago
Read 2 more answers
What is the pattern in the infinite sequence below?
GrogVix [38]
Is there only 4 options?
3 0
3 years ago
Read 2 more answers
Other questions:
  • what are the angle measures of the triangle? a)30, 60, and 90 b)45, 45, and 90 c)60,60,and 60 d)they cannot be determined.
    7·1 answer
  • 7w−(2+w)=2(3w−1)
    5·2 answers
  • Packaging By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting fl
    8·1 answer
  • I need help please!
    10·2 answers
  • Simplify your answer as much as possible
    6·2 answers
  • Which expression is equivalent to 7(xy)<br><br> 7x+y<br><br> 7x-y<br><br> x(7y)<br><br> xy/7
    9·2 answers
  • Austin makes 9 dollars for each hour of work. Write and equation to represent his total pay p after working h hours
    15·1 answer
  • Which of the following could not be the lengths of sides of a right triangle?
    12·1 answer
  • Pls help no links pls
    13·1 answer
  • Math Table Functions help ;-;
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!