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stira [4]
3 years ago
5

What is the value of x in simplest radical form?

Mathematics
2 answers:
konstantin123 [22]3 years ago
6 0

Answer:

25, I believe

Step-by-step explanation:

Given a=7 and b=24,

c = 25

FrozenT [24]3 years ago
4 0

Answer:

25

Step-by-step explanation:

a² + b² = c², by Pythagoras

In this case 'x' is the 'c' for hypotenuse length

7² + 24² = x²

49 + 576 = x²

625 = x²

√625 = x

25 = x

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The perimeter of the rectangle below is 68 cm. The perimeter of the triangle is 60 cm. Find the length of the hypotenuse of the
Inessa05 [86]

The right triangle is assumed to be inscribed in the rectangle, such that

hypotenuse is the diagonal of the rectangle.

  • The length of the hypotenuse of the triangle is <u>26 cm</u>.

Reasons:

Let <em>x</em> and<em> </em><em>y</em> represent the length of the sides of the rectangle

Whereby the base and height of the right triangle are the same as the

length and width of the rectangle, we have;

Perimeter of the rectangle = 2·x + 2·y = 68

Therefore;

\displaystyle x + y = \frac{68}{2} = 34

x + y = 34

The base of the right triangle = x

The height of the right triangle = y

By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)

Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60

Which gives;

∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26

The length of the hypotenuse side, √(x² + y²) = <u>26 cm</u>

Learn more about Pythagoras's theorem here:

brainly.com/question/8171420

6 0
2 years ago
Help me pleasee (10 points)
Montano1993 [528]

Answer:

B

Step-by-step explanation:

Givens

a^2 + b^2 = c^2

a = 4x

b = x + 2

c = 3x + 4

Solution

(4x)^2 + (x + 2)^2 = (3x + 4)^3                  Remove all the brackets.

16x^2 + x^2 + 4x + 4 = 9x^2 + 24x + 16  Collect like terms on the left

17x^2 + 4x + 4 = 9x^2 + 24x + 16            Subtract the terms on the right

8x^2 - 20x - 12 = 0

This factors into

(4x - 12)(2x + 1)

There are 2 answers

4x - 12 = 0

4x = 12

x = 12/4

x = 3

or

2x + 1 = 0

2x = - 1

x = - 1/2

You have to look at x = -1/2 carefully. The problem is that 4x = 4*(-1/2) = - 2 which is not possible in Euclidean Geometry.

So the only answer is x = 3

4 0
2 years ago
How to find out the independent variable and dependent variable from a graph?
I am Lyosha [343]

Answer:

The Axes. The independent variable belongs on the x-axis the(horizontal line) of the graph and the dependent variable belongs on the y-axis the (vertical line)

6 0
2 years ago
-17 &lt; 3 - 5x<br><br><br> Idek anymore
zubka84 [21]

Step-by-step explanation:

-17 < 3 - 5x

-3       -3     step 1: subtract 3 from both sides

-20 < -5x

/-5      /-5   step 2: divide both sides by 5

4 < x

8 0
3 years ago
The area of a rectangle is 36 square centimeters and its length is 9 centimeters
Andrei [34K]
A) 4 cm
B) 9 cm x 12 cm
C) 108 cm
8 0
3 years ago
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