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vodka [1.7K]
1 year ago
12

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Tr

iangle L M N has points (1, negative 1), (1, negative 4), and (5, negative 1). Which best explains whether or not ΔABC ≅ ΔLMN? The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are congruent because a 180 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are not congruent because point B corresponds with point N and point C corresponds with point M. The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.
Mathematics
2 answers:
Reptile [31]1 year ago
8 0

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

Kruka [31]1 year ago
6 0

Answer:

A

Step-by-step explanation:

took the test

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Consider the continuous random variable X, which has a uniform distribution over the interval from 20 to 28.
anastassius [24]

Answer:

a) The probability distribution is f(x) = \frac{1}{8}

b) 0.5 = 50% probability that X will take on a value between 21 and 25.

c) 0.25 = 25% probability that X will take on a value of at least 26.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

P(X < x) = \frac{a - x}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

Uniform distribution over the interval from 20 to 28.

This means that a = 20, b = 28

a. What’s the probability density function?

The probability density function of the uniform distribution is:

f(x) = \frac{1}{b - a}

In this question:

f(x) = \frac{1}{28 - 20} = \frac{1}{8}

b. What’s the probability that X will take on a value between 21 and 25?

P(21 \leq X \leq 25) = \frac{25 - 21}{28 - 20} = \frac{4}{8} = 0.5

0.5 = 50% probability that X will take on a value between 21 and 25.

c. What’s the probability that X will take on a value of at least 26?

P(X > 26) = \frac{28 - 26}{28 - 20} = \frac{2}{8} = 0.25

0.25 = 25% probability that X will take on a value of at least 26.

4 0
1 year ago
What is the simplified form of the following expression? 7(^3 square root 2x) - 3 (^3 square root 16x) -3 (^3 square root 8x)
Pachacha [2.7K]

Answer:

The third option listed: \sqrt[3]{2x} -6\sqrt[3]{x}\\

Step-by-step explanation:

We start by writing all the numerical factors inside the qubic roots in factor form (and if possible with exponent 3 so as to easily identify what can be extracted from the root):

7\sqrt[3]{2x}  -3\sqrt[3]{16x} -3\sqrt[3]{8x} =\\=7\sqrt[3]{2x}  -3\sqrt[3]{2^32x} -3\sqrt[3]{2^3x} =\\=7\sqrt[3]{2x}  -3*2\sqrt[3]{2x} -3*2\sqrt[3]{x}=\\=7\sqrt[3]{2x}  -6\sqrt[3]{2x} -6\sqrt[3]{x}

And now we combine all like terms (notice that the only two terms we can combine are the first two, which contain the exact same radical form:

7\sqrt[3]{2x}  -6\sqrt[3]{2x} -6\sqrt[3]{x}=\\=\sqrt[3]{2x} -6\sqrt[3]{x}

Therefore this is the simplified radical expression: \sqrt[3]{2x} -6\sqrt[3]{x}\\

5 0
1 year ago
Two sidewalks are tangent to a circular park centered at P as shown. i need help with 13 a and b
sergey [27]
13. a) Since AC and AB are tangents to the circle, we know that two tangents that meet at an external point are equal.
Hence, AB = AC; so, AB = 40 ft.

13. b) (20 + r)² = 40² + r²
400 + 40r + r² = 1600 + r²
40r = 1200
r = 30

Hence, the diameter is 60 ft.
5 0
2 years ago
باستعمال log4 2=0.5 فإن قيمة log4 32 هي
11Alexandr11 [23.1K]

Answer:

\mathbf{\log_432}=2.5

Step-by-step explanation:

\log_42=0.5

حن بحاجة إلى إيجاد\log_432

دع\log_432=x

\log_42\times 2\times 2\times 2\times 2=x

\Rightarrow x=\log_42^5

\Rightarrow x=5\log_42   [\because \log_ab^x=x\log_ab]

\Rightarrow x=5\times0.5

\Rightarrow x=2.5

\mathbf{\therefore\log_432=2.5}

7 0
1 year ago
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x)
Verdich [7]
B

Hope fully this helps!!
4 0
1 year ago
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