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3 years ago

Congruent triangles have congruent corresponding parts.

Mathematics

1 answer:

tigry1 [53]3 years ago

8 0

Answer:

this is true. when two triangles are congruent their sides and angles are congruent as well

Step-by-step explanation:

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Measurement of a 18 gon of its interior and exterior

ExtremeBDS [4]

There will be 18 exterior angles, each of 360/18 = 20 deg. So each interior angle, which is supplementary to the exterior angle will be 180–20 - 160 deg. The sum of the 18 interior angles = 18*160 = 2880 deg.

4 0

3 years ago

When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial

Serjik [45]

Answer:

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

Step-by-step explanation:

For each test, there are only two possible outcomes. Either it is positive, or it is negative. The probability of a test being positive or negative is independent of any other test, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability of an individual blood sample testing positive for the virus is 0.06.

This means that $p = 0.06$

If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture.

It will be positive if at least one of the tests is positive, that is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{3,0}.(0.06)^{0}.(0.94)^{3} = 0.8306$

Then

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8306 = 0.1694$

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

8 0

3 years ago

If you were given the following statements write your conclusion <br> if you are given :

prohojiy [21]

Answer:

ab and cd intersect at E because they are vertically opposite angles they always intersect at a point

6 0

3 years ago

What is the answer for 144=-12(x+5) must show work

miskamm [114]

Answer:

Step-by-step explanation:

$-12(x+5)=144\qquad\text{divide both sides by (-12)}\\\\\dfrac{-12(x+5)}{-12}=\dfrac{144}{-12}\\\\x+5=-12\qquad\text{subtract 5 from both sides}\\\\x+5-5=-12-5\\\\x=-17$

8 0

3 years ago

Read 2 more answers

What is f(3)??????????

AURORKA [14]

<h3><u>Explanation</u></h3>

Meaning of f(a)

f(a) means the value of f(x) is ... when x = a. That means if we substitute x = 3, we would get f(3).

f(3) also means the value of f(x) is ... when x = 3.

f(x) can also be defined as y // f(x) = y

Find f(3) by graph.

You can find the value of f(x) at specific domain from the graph by looking at x = 3 then look up to where the point or where the graph passes. From the graph, when x = 3 as we look up and the graph passes y-coordinate at 1.

Therefore we can say that when x = 3, y = 1.

<h3><u>Answer</u></h3>

f(3) = 1

8 0

3 years ago