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Alinara [238K]
2 years ago
6

Triangle ABC has side lengths of 4 units, 7 units, and 5 units. Use the Converse of the Pythagorean Theorem to prove that ABC is

not a right triangle. Write numbers 1-4 to order the steps.
16 + 25 = 49

a2 + b2 = c2

41 ≠
≠
49

42 + 52 = 72

Therefore, triangle ABC is not a right triangle.
Mathematics
1 answer:
zaharov [31]2 years ago
8 0

Answer:

3

 16 + 25 = 49

1

 a^2 + b^2 = c^2

4

41 ≠ 49

2

 4^2 + 5^2 = 7^2

Step-by-step explanation:

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Answer:8.5...

Step-by-step explanation:

6 0
3 years ago
The figure to the right shows two parallel lines interested by a transversal.
Naily [24]

m 1, 2, 5, & 6 = 58°

m x, 3, 4, & 7 = 122°

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Read 2 more answers
He Earth completely rotates on its axis once every 24 hours.
mafiozo [28]

Answer:

A)

58/3 = 19.33 hours

B)

84.00 hours

C)

2074.29 miles

Step-by-step explanation:

Under the assumption the earth is a perfect circle, then in a complete rotation ( 24 hours) the earth will rotate through  360 degrees or 2π radians.

A)

In one day or 24 hours the earth rotates through 360 degrees. We are required to determine the duration it takes to rotate through 290 degrees. Let x be the duration it takes the earth to rotate through 290 degrees, then the following proportions hold;

(24/360) = (x/290)

solving for x;

x = (24/360) * 290 = 58/3 = 19.33 hours

B)

In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it will takes the Earth to rotate through 7π radians. Let x be the duration it takes the earth to rotate through 7π radians, then the following proportions hold;

(24/2π radians) = (x/7π radians)

Solving for x;

x = (24/2π radians)*7π radians = 84 hours

C)

If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;

circumference = 2*π*R = π*D

                         = 7920*3.142

                         = 24891.43 miles

Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;

(24891.43miles)/(24 hours) = 1037.14 miles/hr

The distance covered by the point in 2 hours will thus be;

1037.14 * 2 = 2074.29 miles

7 0
3 years ago
Write the slope intercept form of the equation of the line that passes through the point (4, 8) and has a slope of -2.
zhuklara [117]

The equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The line that passes through the point (4, 8) and has a slope of -2.

On comparing the standard equation:

y = mx + c

Here m is the slope of the line and c is the y-intercept.

m = -2

y = -2x + c

Plug x = 4 and y = 8

8 = -2(4) + c

c = 16

y = -2x + 16

Thus, the equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

8 0
1 year ago
erin needs 9.75 cups of flour to make 6 + 1/2 dozen cookies. how many cups of flour does erin need to make 1 dozen cookies
Hitman42 [59]
Erin needs 1.5 cups of flour to make 1 dozen cookies.
6 0
3 years ago
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