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Veseljchak [2.6K]
3 years ago
7

Verify that ABC is a right triangle by showing that the sum of the areas of the squares formed with sides a and b is equal the a

rea of the square formed with side c.
Mathematics
2 answers:
fiasKO [112]3 years ago
8 0

Answer:

The Converse of Pythagorean Theorem

Step-by-step explanation:

This prove related to The Converse of Pythagorean Theorem, it's a little too long to explain here. Please check your textbook or any reference about this theorem to understand the prove steps.

sweet-ann [11.9K]3 years ago
5 0

Step-by-step explanation:

Pythagoras' theorem shows that a^2+b^2=c^2. Not sure how else to help here.

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A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find th
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Answer:

The initial value is 29.5

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept ( also called initial value)

we have the points

(3,42.25) and (5,50.75)

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

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

substitute the values

m=\frac{50.75-42.25}{5-3}

m=\frac{8.5}{2}

m=4.25

substitute in the equation

y=4.25x+b

<em>Find the value of b</em>

with the point (3,42.25)  ( or the other given point)

substitute the value of x and the value of y in the equation and solve for b

42.25=4.25(3)+b

42.25=12.75+b

b=42.25-12.75

b=29.5

substitute

The linear equation is

y=4.25x+29.5

The initial value is the y-intercept (value of y when the value of x is equal to zero)

For x=0

y=4.25(0)+29.5

y=29.5

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B

Step-by-step explanation:

hope this helps <3

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