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valina [46]
3 years ago
14

Instructions: Determine if the two triangles in the image are congruent. If they are, state how you know by identifying the post

ulate.

Mathematics
2 answers:
notka56 [123]3 years ago
7 0
<h3>Answer: They are congruent by AAS</h3>

AAS is the same as SAA

The arcs shown indicate those angles are congruent. Another pair of congruent angles are the vertical angles formed by the X crossing. That's two "A"s so far. The tickmarks of the segments mean those segments are the same length. So this is why we can use AAS here.

Zigmanuir [339]3 years ago
3 0
They are as a result of the side angle side postulate. there is a vertical angle in the center, with a congruent side, and an equal angle (SAS)
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14=3/8 find the quotient
ANTONII [103]

Answer:

The equation is always false

Step-by-step explanation:

5 0
3 years ago
the tens digit of a 2 digit number is twice the units digit. The sum of the digits is 12. Find the original number
Nataly [62]
<span>2x + x = 12 
=> x =12/3 =4 
so, original number is 84. </span>
7 0
3 years ago
I am thinking of a number. i will add four and then multiply it by five. the answer will be thirty five. whats the number?
kodGreya [7K]

Answer:

B. 3

Step-by-step explanation:

Let's make an equation for this. Our unknown number is x.

x

We are adding 4.

x + 4

Then multiplying by 5.

(x + 4) • 5

It will equal 35.

(x + 4) • 5 = 35

To solve this, divide both sides by 5.

(x + 4) = 7

Now subtract 4 from both sides.

x = 3

This is your answer.

Check this by plugging it back into our original equation.

(x + 4) • 5 = 35

(3 + 4) • 5 = 35

7 • 5 = 35

35 = 35

Your answer is correct.

Hope this helps!

3 0
2 years ago
Suppose that you are given a bag containing n unbiased coins. You are told that n-1 of these coins are normal, with heads on one
gladu [14]

Answer:

The (conditional) probability that the coin you chose is the fake coin is 2/(1 + n)

Step-by-step explanation:

Given

Total unbiased coin = n

Normal coins =n - 1

Fake = 1

The (conditional) probability that the coin you chose is the fake coin is represented by

P(Fake | Head)

And it's calculated as follows;

P(Fake | Head) = P(Fake, Head) ÷ P(Head) ----- (1)

Where P(Fake, Head) = P(Fake) * P(Head | Fake)

P(Fake) = 1/n --- because only one is fake

P(Head | Fake) = n/n because all coins (including the fake) have head

So, P(Fake, Head) = P(Fake) * P(Head | Fake) becomes

P(Fake, Head) = 1/n * n/n

P(Fake, Head) = 1/n

P(Head) is calculated by

P(Fake) * P(Head | Fake) + P(Normal) * P(Head | Normal)

P(Fake) * P(Head | Fake) = P(Fake, Head) = 1/n (as calculated above)

P(Normal) * P(Head | Normal) = ½ * (n - 1)/n ----- considering that the coin also has a tail with equal probability as that of the head.

Going back to (1)

P(Fake | Head) = P(Fake, Head) ÷ P(Head) becomes

P(Fake | Head) = (1/n) ÷ ((1/n) + (½(n-1)/n))

= (1/n) ÷ ((1/n) + (½(n-1)/n))

= (1/n) ÷ (1/n + (n - 1)/2n)

= (1/n) ÷ (2 + n - 1)/(2n)

= (1/n) ÷ (1 + n)/(2n)

= (1/n) * (2n)/(1 + n)

= 2/(1 + n)

Hence, the (conditional) probability that the coin you chose is the fake coin is 2/(1 + n)

5 0
3 years ago
What is the square root of 25/64
DerKrebs [107]
The square root of 25/64=5/8
4 0
3 years ago
Read 2 more answers
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