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Ugo [173]
3 years ago
5

Consider the triangles.

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0

Two pairs of corresponding angles are congruent, so the triangles are similar.

The correct option is (A).

<h3> What is similarity in triangles?</h3>

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

As, the measurement of two angles are equal.

So, the angles are congruent.

Hence, by AA criteria the triangles are similar.

Learn more about similarity here:

brainly.com/question/25882965

#SPJ1

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In a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the b
myrzilka [38]

Answer:

D) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6.

Step-by-step explanation:

The Number of boxes = 6

Box containing a prize = 1

Probability of success, p = box containing a price / number of boxes = 1 /6

Number of trials = 5

Probability of success on exactly 2 trials, r = 2

Hence,

P(r = 2) = nCr * p^r * (1-p)^(n-r)

n = 5 ; r = 2 ; p = 1/6

Using a binomial probability calculator :

P(r = 2) = 0.1608

8 0
4 years ago
I need the answer to be correct
VladimirAG [237]

Answer:

The GCF is x²

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which lines have a y intercept of 5
stiks02 [169]
Y=2x+5 could be used for this since it has a y-int of 5
8 0
3 years ago
Use the discriminant, b2 - 4ac, to determine which equation has complex solutions.
ruslelena [56]

Using the discriminant, the quadratic equation that has complex solutions is given by:

x² + 2x + 5 = 0.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax² + bx + c

The discriminant is:

\Delta = b^2 - 4ac

The solutions are as follows:

  • If \mathbf{\Delta > 0}, it has 2 real solutions.
  • If \mathbf{\Delta = 0}, it has 1 real solutions.
  • If \mathbf{\Delta < 0}, it has 2 complex solutions.

In this problem, we want a negative discriminant, hence the equation is:

x² + 2x + 5 = 0.

As the coefficients are a = 1, b = 2, c = 5, hence:

\Delta = 2^2 - 4(1)(5) = 4 - 20 = -16

More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811

#SPJ1

3 0
2 years ago
Which of the following mathematical symbols represents "the opposite of"?
asambeis [7]

Answer:

the minus sign

Step-by-step explanation:

In mathematics, the symbol for the additive opposite is the minus sign

The symbol for the multiplicative opposite is the inverse operation 1/x (I think)

So, yes, specific opposites have symbols, BUT...

Just saying "the opposite of" is too blurry to find one word that represents that.

7 0
4 years ago
Read 2 more answers
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