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2 years ago

Find the missing side length using the Pythagorean Theorem. a²+6² = c²

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

6 0

Answer:

Step-by-step explanation:

Hello!

In the Pythagorean theorem, the summation of the square of the legs in a right triangle is equal to the square of the hypotenuse.

Let a and b be the legs, and c is the hypotenuse.

a² + b² = c²

In this equation, the hypotenuse is 30, and the measure of one leg is 24.

We can solve this by plugging in the values.

a² + b² = c²
24² + b² = 30²
576 + b² = 900
324 = b²
b = 18

So the missing side length is 18.

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A rectangle has length 72 cm and it’s width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. Fi

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A = l*w

A = 72* 56

A= 4032

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L =192

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3 years ago

The interior angles of a triangle are

lbvjy [14]

Answer:

$8x+13y = 130$

Step-by-step explanation:

sum of interior angles in a triangle is 180 degree

interior angles are (5x+3y)∘,(3x+20)∘, and (10y+30)

add all the angles and make it equal to 180

$5x+3y+3x+20+10y+30= 180$

combine like terms

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subtract 50 from both sides

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2 years ago

Parabola is (6, 3). What is the vertex of the function defined as g(x) = f(x) + 3?

MrRissso [65]

Answer:

Step-by-step explanation:

f(x) is a parabola with vertex (6,3). f(x) means the function is reflected about the y axis. That means the vertex will become (-6, 3) (the x-value gets multiplied by -1). Then adding 3 will move the vertex in the y-direction by +3 (add 3 to the y-value).

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