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2 years ago

What is the slope of AB? Can anyone help me ??

Mathematics

1 answer:

bonufazy [111]2 years ago

8 0

Answer:

1/2

Step-by-step explanation:

Point A is (2, 3)

Point B is (6, 5)

To get the slope of a line, first select any two points on that line.

Then, take the difference of the y values, and divide it by the difference of the x values. This is also known as the change in y over the change in x, or rise over run.

$\frac{3-5}{2-6} =\frac{-2}{-4} =\frac{1}{2}$

1/2 is the slope.

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How do you prove this?

frozen [14]

Answer:

Show ΔBCD ≅ ΔGFE, so ∠C ≅ ∠F. Base angle of an isosceles triangle are congruent, so ΔACF is isosceles.

Step-by-step explanation:

Informally, subtract DE from CE and DF. This will show CD ≅ EF.

Then ΔBCD ≅ ΔGFE by the HL theorem for right triangles.

Corresponding parts of congruent triangles are congruent, namely the angles C and F.

Since base angles of ΔACF are congruent, it is isosceles.

3 0

3 years ago

The larger of two numbers is 1 more than twice the

stellarik [79]

Answer:

Step-by-step explanation:

Hi there!

Let the smaller number be x and the larger number be 2x+1.

According to the question,

The sum of the numbers is 20 less than three

times the larger.

i.e x + (2x+1)= 3*(2x+1) - 20

or, x + 2x +1 = 6x + 3 -20

or, 3x + 1 = 6x - 17

or, 3x = 18

or x= 18/3

x = 6

And 2x+1 = 2*6+1 = 13.

Therefore the smaller number is 6 and larger number is 13.

Hope it helps!

7 0

3 years ago

What is 5x/3 = 80/12 solve for x

Over [174]

X=4

explanation:
-reduce the fraction
-make the numerators equal
-divide both sides by 5

8 0

3 years ago

What is the percent of change from 4,000 to 7,000

tiny-mole [99]

Answer:

(7000-4000) will make 4000x100 =

(7000:4000-1)x100 =

175-100 = 75

the percentage increase from 4000 to 7000 by 75%

5 0

3 years ago

Read 2 more answers

camelback mountain has an elevation change of 1,264 feet. how many pennies would it take to make a stack that high ? make sure y

vredina [299]

Answer:

106,782,720

Step-by-step explanation:

84,480 pennies

There are 84,480 pennies in a mile. Yes, that is correct – 84,480 pennies! An interesting fact to know: 16 pennies laid side by side constitute 12 inches in length, or one foot, and since 5,280 feet equals one mile, that gives us 84,480 pennies in a mile.

84,480x1264=106,782,720

hope this helps!

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Have a great day!

8 0

2 years ago