For the answer to the question above asking to prove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle,
A right triangle consists of two sides called the legs and one side called the hypotenuse (c²) . The hypotenuse (c²) is the longest side and is opposite the right angle.

⇒ α² + β² = c²

"In any right triangle ( 90° angle) , the sum of the squared lengths of the two legs is equal to the squared length of the hypotenuse."

For example: Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are 3 inches and 4 inches.
c2 = a2+ b2
c2 = 32+ 42
c2 = 9+16
c2 = 15
c = sqrt25
c=5

8 0

3 years ago

A bakery sells ,medium and large pies. The ratio small:medium:large is 3:5:2 .What fraction of the pies are large ?

SOVA2 [1]

2/8

there’s 8 total pies and among all of them, there’s only 2 large pies
so 2 large pies out of eight pies

6 0

2 years ago

Jeffrey calculated the slope between two pairs of points. He found that the slope between -5, 6 and -3, 2 is -2. He also found t

Cerrena [4.2K]

Answer:

Jeffrey is correct

All of these points are on the same line because the slope between (-3,2) and( 0,-4), which are coordinates from each of the pairs above, is equal to -2

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope between -5, 6 and -3, 2

substitute the values in the formula

$m=\frac{2-6}{-3+5}$

$m=\frac{-4}{2}=-2$

step 2

Find the slope between (-1, -2) and (0, -4)

substitute the values in the formula

$m=\frac{-4+2}{0+1}$

$m=\frac{-2}{1}=-2$

step 3

Find the slope between (-3, 2) and (0, -4)

substitute the values in the formula

$m=\frac{-4-2}{0+3}$

$m=\frac{-6}{3}=-2$

therefore

Jeffrey is correct

All of these points are on the same line because the slope between (-3,2) and( 0,-4), which are coordinates from each of the pairs above, is equal to -2

8 0

3 years ago

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