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2 years ago

Which of the following are used to prove that triangles are congruent? 1. ASA 2. SSS 3. AAA 4. AAS 5. SAS select all that apply.

Mathematics

1 answer:

Law Incorporation [45]2 years ago

8 0

Answer:

all of them

Step-by-step explanation:

SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. ...

SAS (side, angle, side) ...

ASA (angle, side, angle) ...

AAS (angle, angle, side) ...

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Suppose we want to estimate the average weight of an adult male in Mexico. We draw a random sample of 2,000 men from a populatio

LenKa [72]

Answer:

1.- CI = 94% ( μ₀ - 1,04 < x < μ₀ + 1,04 )

2.- CI = 98 % ( μ₀ - 2,05 < x < μ₀ + 2,05 )

3.- CI = 96 % ( μ₀ - 1,75 < x < μ₀ + 1,75 )

Step-by-step explanation:

Sample size n = 3000000

Sample mean x = 200

Standard deviation s = 30

From z-table values of z(c):

CI 94 % Confidencial level α = 6 % α = 0,06 z(c) = 1,55

CI 98 % Confidencial level α = 2 % α = 0,02 z(c) = 2,05

CI 96 % Confidencial level α = 4 % α = 0,04 z(c) = 1,75

MOE = z(c) * σ/√n

1.-MOE = 1,55* 30 / √2000 MOE = 1,04

2.-MOE = 2,05*30/√2000 MOE = 1,38

3.-MOE = 1,75*30/√2000 MOE = 1,17

Then CI

1.- CI = 94 % ( μ₀ - MOE < x < μ₀ - MOE )

CI = ( μ₀ - 1,04 < x < μ₀ + 1,04 )

2.-CI = 98 %

CI = ( μ₀ - 2,05 < x < μ₀ + 2,05 )

3.- CI = 96 %

CI = ( μ₀ - 1,75 < x < μ₀ + 1,75 )

7 0

2 years ago

Find the area of the rectangle.

Andreyy89

Answer: 5.6ft²

Step-by-step explanation:

Area of a rectangle = length x width

= $\frac{4}{5} ft$ (7ft)

= $\frac{28}{5}ft^{2}$

= 5.6ft²

5 0

2 years ago

Which of the following are steps in practical problem solving?

DiKsa [7]

1. Assign an identifying variable to the quantity to be found.

2. Write a sentence stating conditions placed on the quantity.

3. Solve the sentence for the variable.

8 0

3 years ago

Read 2 more answers

If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new s

7nadin3 [17]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

Let 's' be the side of the original square

the length of the side of a square is doubled, so the length of the new square is 2s

Area of the original square with side length 's' is $s^2$

Area of the new square with side length '2s' is $(2s)^2=4s^2$

Area of the new square is 4 times the area of the original square

ratio of the areas of the original square to the area of the new square

$\frac{s^2}{4s^2} =\frac{1}{4}$

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3 years ago

What are the solutions of x^2+2x-3=0?

Nikolay [14]

X= 1,-3 If you factor equation you get x-1=0 and x+3=0

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2 years ago