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CaHeK987 [17]
2 years ago
12

Which shows two triangles that are congruent by ASA?

Mathematics
2 answers:
Ede4ka [16]2 years ago
7 0

Answer:

Which shows two triangles that are congruent by AAS?

triangles A.

Step-by-step explanation:

GalinKa [24]2 years ago
6 0

Answer:

b

Step-by-step explanation:

2 triangles are connected at one side. The triangles also have 2 congruent angles. The first triangle can be rotated to form the second triangle.

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Use the fact that the mean of a geometric distribution is μ= 1 p and the variance is σ2= q p2. A daily number lottery chooses th
butalik [34]

Answer:

a). The mean = 1000

     The variance = 999,000

     The standard deviation = 999.4999

b). 1000 times , loss

Step-by-step explanation:

The mean of geometric distribution is given as , $\mu = \frac{1}{p}$

And the variance is given by, $\sigma ^2=\frac{q}{p^2}$

Given : $p=\frac{1}{1000}$

             = 0.001

The formulae of mean and variance are :

$\mu = \frac{1}{p}$

$\sigma ^2=\frac{q}{p^2}$

$\sigma ^2=\frac{1-p}{p^2}$

a). Mean =   $\mu = \frac{1}{p}$

              = $\mu = \frac{1}{0.001}$

              = 1000

  Variance =   $\sigma ^2=\frac{1-p}{p^2}$

                  = $\sigma ^2=\frac{1-0.001}{0.001^2}$

                           = 999,000

   The standard deviation is determined by the root of the variance.

    $\sigma = \sqrt{\sigma^2}$

        = $\sqrt{999,000}$ = 999.4999

b). We expect to have play lottery 1000  times to win, because the mean in part (a) is 1000.

When we win the profit is 500 - 1 = 499

When we lose, the profit is -1

Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).

$\mu=\Sigma\ x\ P(x)= 499 \times 0.001+(-1) \times (1-0.001)$

  = $ 0.50

Since the answer is negative, we are expected to make a loss.

4 0
2 years ago
Is (2, 2) a solution of the system y = x and x + 2y = 6?
Mariana [72]

Answer:

yes

Step-by-step explanation:

Substitute x = 2 and y = 2 into both equations and if both are true then (2, 2) is a solution of the system.

y = x, that is

2 = 2 ← True

x + 2y = 6, that is

2 + 2(2) = 2 + 4 = 6 ← True

Thus (2, 2) is a solution of the system

7 0
3 years ago
Read 2 more answers
The area of a rectangle is 256.5m2. if the length is 18m, what is the perimeter of the rectangle
Vlad [161]
256.5/18= 14.25

(14.25x2)+(18x2)= 64.5m
4 0
2 years ago
Read 2 more answers
Write each fraction as a percent and fraction equivalent. 1) 0.53 2)1.07
Black_prince [1.1K]
53%
\frac{53}{100}
107%
\frac{107}{100}
3 0
3 years ago
A standard six-sided die is rolled 6 times. You are told that among the rolls, there was one 1, two 2's, and three 3's. How many
MArishka [77]

Answer:

34

Step-by-step explanation:

6 0
3 years ago
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