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denis23 [38]
2 years ago
11

a. Are the following triangles congruent? If so, which postulate or theorem proves this? b. What transformation moved one triang

le to the position of the other?​

Mathematics
1 answer:
xenn [34]2 years ago
4 0

Answer:

Yes by SAS

Step-by-step explanation:

If you look at the triangles they have 2 side lenght in common (and since it is a right triange they have all the sides in commmon) and they share an angel

In other words 2 sides are conurent with an angle betwene them.

You would need to rotait the shape 90 degrese.

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For a certain​ candy, 20​% of the pieces are​ yellow, 15​% are​ red, 20​% are​ blue, 20​% are​ green, and the rest are brown. ​a
OLEGan [10]

Answer:

Step-by-step explanation:

Based on the question we are given the percentages of each of the types of candies in the bag except for brown. Since the sum of all the percentages equals 75% and brown is the remaining percent then we can calculate that brown is (100-75 = 25%) 25% of the bag. Now we can show the probabilities of getting a certain type of candy by placing the percentages over the total percentage (100%).

  • Brown: \frac{25}{100}
  • Yellow or Blue: \frac{20}{100} +\frac{20}{100} = \frac{40}{100}  ....add the numerators
  • Not Green:  \frac{80}{100}.... since the sum of all the rest is 80%
  • Stiped:  \frac{25}{100} .... there are 0 striped candies.

Assuming the <u><em>ratios/percentages</em></u> of the candies stay the same having an infinite amount of candy will not affect the probabilities. That being said in order to calculate consecutive probability of getting 3 of a certain type in a row we have to multiply the probabilities together. This is calculated by multiplying the numerators with numerators and denominators with denominators.

  • 3 Browns: \frac{25*25*25}{100*100*100} = \frac{15,625}{1,000,000} = \frac{1.5625}{100}

  • the 1st and 3rd are red while the middle is any. We multiply 15% * (total of all minus red which is 85%) * 15% like so.

\frac{15*85*15}{100*100*100} = \frac{19,125}{1,000,000} = \frac{1.9125}{100}

  • None are Yellow: multiply the percent of all minus yellow three times.

\frac{80*80*80}{100*100*100} = \frac{512,000}{1,000,000} = \frac{51.2}{100}

  • At least 1 green: multiply the percent of green by 100% twice, since the other two can by any

\frac{20*100*100}{100*100*100} = \frac{200,000}{1,000,000} = \frac{20}{100}

4 0
3 years ago
The intersection of plane A and plane S will be
Darya [45]

Answer: the intersection of plane A and plane S will be: line CW

the intersection of lines N and K is: point V

point X is the intersection of: line M and plane A

Step-by-step explanation:

3 0
3 years ago
What is 12/42 when you simplify it 
VashaNatasha [74]
First of all, to simplify a number/fraction, you must find a common multiple.
Both 12 and 42 is divisible by 6
\frac{12}{42}=\frac{2}{7} since 6 goes into 12, two times and goes into 42, 7 times. The answer is \frac{2}{7} when simplified. 
3 0
3 years ago
Read 2 more answers
What is the equation of this line?
My name is Ann [436]

Answer:

The answer for y=2x−2 is x=y/2+1

Step-by-step explanation:

4 0
3 years ago
Write an expression with (-1) as its base that will product a negative product
algol [13]

Base of the exponential equation should be (-1).

And finally the product or result should also be a negative number.

Let us take a variable for n natural numbers.

(Note: All positive whole numbers are called natural numbers that is  1,2,3,4,5,....).

In order to get the expression, we need to find the expession for odd natural numbers.

We know,

The expession for odd natural numbers is given by = 2n-1.

Where n= 1,2,3,4,5...

If we have an odd exponent of a negative number, it always gives a negative number.

We got, base = -1  ( a negative number) and

exponent = (2n-1)    ........... expression for odd number.

Therefore, we could write final exponential expression that would give a negative for all natural numbers.

(-1)^{2n-1}


7 0
3 years ago
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