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
Tom [10]
3 years ago
10

Given: circle k(O) with diameter AB and CD ⊥ AB Prove: AD·CB=AC·CD

Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0

Answer:

Hence it is proved that AD.CB=AC.CD

Step-by-step explanation:

Given:

A circle with diameter AB and CD perpendicular to AB.

To Prove:

AD.CB=AC.CD

Solution:

Construct a circle with diameter AB and CD perpendicular AB

To get perpendicular Diameter  AB ,point C must be on Y-axis with passing through center getting CD as radius of circle.

<em>(Refer the Attachment)</em>

<em>Now</em><em>,</em>

we get two triangles, as ADC and CDB

So

Side(AD)=side(BD)

CD is common side

and Angle(ADC)=angle(BDC)

<em>Using S-A-S test to triangles are similar </em>

<em>So their corresponding sides are in proportion </em>,

AD/BD=AC/BC

therefore

AD*BC=AC*BD

as BD=CD ...........................  ( both are radius of the circle).

AD*BC=AC*CD

Hence it is required Proof.

You might be interested in
Find the regular price. Round to the nearest cent . Sales price is 56.78 percent discount is 40%
LenaWriter [7]

100\%-40\%=60\%\\60\% = \frac{60}{100}=\frac{6}{10}=\frac{3}{5}\\\\

Numerator is 3 and denominator is 5. So, we divide the sales price by 3 and we multiply by 5 to get the whole fraction, or 100%.

\frac{56.78*5}{3} \\\frac{283.9}{3} \\94.6333333333333...

Your regular price sounds recurring, so you might have made a mistake copying.

The answer for what you've got is 94.633333...

5 0
3 years ago
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
storchak [24]

Answer:

a) 0.1587

b) 0.0475

c) 0.7938

Step-by-step explanation:

Let's start defining our random variable.

X : ''Thickness (in mm) of ancient prehistoric Native American pot shards discovered in a Hopi village''

X is modeled as a normal random variable.

X ~ N(μ,σ)

Where μ is the mean and σ is the standard deviation.

To calculate all the probabilities, we are going to normalize the random variable X.

We are going to call to the standard normal distribution ''Z''.

[(X - μ) / σ] ≅ Z

We normalize by subtracting the mean to X and then dividing by standard deviation.

We can find the values of probabilities for Z in a standard normal distribution table.

We are going to call Φ(A) to the normal standard cumulative distribution evaluated in a value ''A''

a)

P(X

P(ZΦ(-1) = 0.1587

b)

P(X>7)=P(\frac{X-4.5}{1.5}>\frac{7-4.5}{1.5})

P(Z>1.666)=1-P(Z\leq 1.666)=

1 - Φ(1.666) = 1 - 0.9525 = 0.0475

c)

P(3

P(-1 Φ(1.666) - Φ(-1) = 0.9525 - 0.1587 = 0.7938

8 0
3 years ago
Help with pre algebra
olganol [36]

Answer:

The y-axis.

Step-by-step explanation:

This is because it is mirroring across the y-axis, and the x-coordinate's sign is getting changed from positive to negative.

4 0
3 years ago
Read 2 more answers
Simplify. [6.6 ÷ (–5 + 3)] • (–1)
eimsori [14]
Hi there, we use PEMDAS to solve this problem, PEMDAS is parenthesis, Exponents, Multiply, Divide, Add, and Subtract. In this case, we have [6.6÷(-5+3)]*(-1), 6.6/-5+3(-1)=6.6/-2(-1)=(-3.3)(-1)=3.3. So, your answer is 3.3
8 0
3 years ago
What is the solution to the following system?
notsponge [240]

Answer:

the answer is c (2,1,0)

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Probability that exactly one jack, one queen, and one king have been picked from the deck when the first ace turns up
    12·1 answer
  • I NEED HELP PLEASE, THANKS! :)
    10·2 answers
  • What is the slope of the line?<br><br> 0<br><br> 6<br><br> 9<br><br> undefined
    11·1 answer
  • Find the value of m!!!
    8·1 answer
  • Laura is making a patio in her backyard using paving stones. She buys 44 paving stones and a flowerpot worth $7 for a total of $
    7·2 answers
  • Suppose you are replacing the carpet in the living room where the length of the living room is five feet shorter than twice its
    8·1 answer
  • A lumber company is making boards that are 2638.0 millimeters tall. If the boards are too long they must be trimmed, and if the
    10·1 answer
  • !!!! I'LL GIVE BRAINLIEST !!!!! PLS HELP THIS IS A TEST !!!
    13·1 answer
  • I need to find the value of x help needed
    13·1 answer
  • If x2 = 10, what is the value of x? (5 points)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!