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The missing side of the right angle triangle is 8.0622577483 units.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

Triangle is a right angle triangle.

And the sides of a right-angled triangle are:

Base = 4 unit

Perpendicular = 7 units.

To find the length of the hypotenuse:

We apply Pythagoras theorem,

(hypotenuse)² = (base)² + (perpendicular)²

Substituting the values in the equation,

(hypotenuse)² = (4)² + (7)²

(x)² = 16 + 49

(x) = √(65)

(x) = 8.0622577483

Therefore, the value of x is 8.0622577483 units.

To learn more about the Pythagoras theorem;

https://brainly.com/question/343682

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Answer:

Divide both sides by 6 :)

Answer:

subtract 6 from both sides

Step-by-step explanation:

The basic technique to isolate a variable is to do something to both sides of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number.

Answer:

(x+2)(x-2)

Step-by-step explanation

x times x equals x^2, 2 times x equals 2x, -2 times x equals -2x, and 2 times -2 equals -4. If you add that up, the x-values cancel out, leaving the x^2 and the -4. (This explanation is working it backwards which is the easiest way IMO)

Answer:

Step-by-step explanation:

The 6 faces of a cube have equal are.

Each face has are of 5*5=25 because they are all squares.

Now we just multiply by 6

25*6=150 centimeters cubed.

Done!

Step-by-step explanation:

step 1. a cube had 6 sides

step 2. each side is a square

step 3. the area of each side is 5x5 = 25cm^2

step 4. the surface area of the cube is 25x6 = 150cm^2.

Answer:

35/32

Step-by-step explanation:

Primero, es necesario hacer el 7 en una fracción

[tex]\frac{5}{32} * \frac{7}{1}[/tex]

Entonces puede multiplicarse a través

[tex]\frac{5(7)}{32(1)} \\\\\frac{35}{32}[/tex]

35/32 es la respuesta

¡También, lo siento si mi español es malo! Todavía estoy aprendiendo jaja

Answer: 20.9420 is your answer

Answer:

[tex]4 \\ \: is \: your \: answer \: mate[/tex]

enjoy your day

#Captainpower|~

Answer: 3.9ft²

Step-by-step explanation:

Find the area of the rectangle first:

= Length * Width

= 2 * 1.5

= 3 ft²

Find the area of the semi-circle by finding the area of a circle and dividing it by 2:

= πr²

= 3.14 * 1.5/2 * 1.5/2

= 1.76625‬ft²

Divide by 2:

= 1.76625‬/ 2

= 0.88 ft²

Add the area of the rectangle to the semi-circle:

= 3 + 0.88

= 3.9ft²

Answer:

(3c−2d)(2a+b)

Step-by-step explanation:

3bc−4ad+6ac−2bd

Do the grouping 3bc−4ad+6ac−2bd=(6ac−4ad)+(3bc−2bd), and factor out 2a in the first and b in the second group.

2a(3c−2d)+b(3c−2d)

Factor out common term 3c−2d by using distributive property.

(3c−2d)(2a+b)

Answer:

Step-by-step explanation:

57.6

Answer:

(x-2)^2+(y+4)^2=34

Answer:

When you multiply the variables with different exponents, you add. When you multiply an exponent with another exponent, you multiply.

Step-by-step explanation:

Answer above

X = 16

7 x + 14 - 6 x = 30

x + 14 = 30

Answer:

Step-by-step explanation:

Without the illustration, I assume that L is the slant height of a triangular face.

L = √(15^2 + 10^2) = 5√13 cm

Answer:

he could have been thinking of 1/2 + 1/2 or 4/8 + 4/8 or maybe 5/10 + 5/10

because 2/2=1 and so does 8/8 and 10/10

Step-by-step explanation:

Answer:

I think it didnt change

Step-by-step explanation:

Cause both areas from the line are the same and if it were to change the left would be diffrent from the right. So there i think it didnt change.

The theorem that applies to the similar triangles is AA theorem.

Similar triangles are triangle with same shapes but may be different sizes.

Similar triangle have corresponding sides as a ratio of each other.

The triangles above have two of their angles equal, therefore, the triangles are similar.

They are similar by AA theorem.

AA theorem of similarity states that If two of angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.

30 ≅ 30

95 ≅ 95

learn more on similar triangles here: https://brainly.com/question/16999173

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Answer:

100+5x+50+7x

Step-by-step explanation:

Answer:

x=-1

y=66

Step-by-step explanation:

3x + 6 = 9

3x = -3

x=-1

10x+y=56

x=-1

-10+y=56

y=66

Answer:

Step-by-step explanation:

Answer:

3.75 dollars

Step-by-step explanation:

If 30 bags of popcorn = 112.50

Then what would one bag equal?

First start off by putting money/bags

[tex]\frac{112.50}{30}[/tex]

Then solve.

112.50/30 = 3.75

Your answer is 3.75.

Hope this is correct, and hope it helps ^_^

Answer:

$3.75 per bag

Step-by-step explanation:

Put the total cost (112.50) and divide it by how many she sold (30) to get your answer. hope this helped

Answer:

68

Step-by-step explanation:

c=√a^2+b^2

√ 60^2 + 32^2 =68

We will use the Pythagorean Theorem

[tex]x {}^{2} = {32}^{2} + {60}^{2} \\ {x}^{2} = 1024 + 3600 \\ x {}^{2} = 4624 \\ x = \sqrt{4624} \\ x = 68[/tex]

Answer:

The letters are really small I can't see it.

Step-by-step explanation:

Sorry

Answer:

Expand (x+2)^3. (x+2)3 ( x + 2 ) 3. Use the Binomial Theorem. x3+3x2⋅2+3x⋅22+23 x 3 + 3 x 2 ⋅ 2 + 3 x ⋅ 2 2 + 2 3. Simplify each term.