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3 years ago

How would I prove the congruency of these triangles?

Mathematics

2 answers:

Olenka [21]3 years ago

7 0

Step-by-step explanation:

the radius cuts the segment into two equal parts because it is perpendicular to the chord

Svet_ta [14]3 years ago

7 0

Answer:

Step-by-step explanation:

As O is the mid point of the circle

Similarly, B also becomes the mid point of the line AC.

So, line OB divides AB and BC equally.

Hence, lines AB = AC, but they are asking to prove congruency of triangles.

So, u have to join OA and OC.

Same way, line OB divides ∠OBA and ∠OBC.

So it is proved that AB = AC

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Given that cosθ=7/25 , what is sinθ ?

OLga [1]

Answer:

sin θ = 24/25.

Step-by-step explanation:

Cos θ = 7/25 so we have a right triangle with adjacent side = 7 and hypotenuse = 25.

So the opposite side = sqrt ( 25^2 - 7^2) ( By Pythagoras)

= sqrt 576

= 24 .

Therefore sin θ = 24/25.

5 0

3 years ago

Read 2 more answers

16 2/3 % as a fraction

AveGali [126]

Answer: it will be 1/6

Step-by-step explanation:

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3 years ago

How do you find percentages?

DochEvi [55]

To calculate percentage increase, use the following method:

First, Work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Now, divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

Also, If your answer is a negative number it is a percentage decrease.

To calculate percentage decrease, use this method:

First, Work out the difference (decrease) between the two numbers you are comparing.

Decrease = Original Number - New Number

Then, divide the decrease by the original number and multiply the answer by 100.

% Decrease = Decrease ÷ Original Number × 100

Also, If your answer is a negative number then it is a percentage increase.

<span>If you wish to calculate the percentage increase or decrease of several numbers then I recommend using the first formula. Positive values indicate a percentage increase whereas negative values indicate percentage decrease.</span>

4 0

3 years ago

The breaking strength of a rivet has a mean value of 10,000 psi and a standard deviation of 500 psi. (a) What is the probability

velikii [3]

Answer:

a) 89.05% probability that the sample mean breaking strength for a random sample of 40 rivets is between 9900 and 10,200

b) No, because one of the requirements of the central limit theorem is a sample size of at least 30.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$