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lawyer [7]
3 years ago
6

Can someone explain me how to solve this?

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
4 0

Answer: x = 12

Step-by-step explanation:

There are two triangles. The two vertical lines on the legs at the top indicate that those two sides are congruent or equal to each other. The line down the middle with the right angle box shows that the two triangles share a common side. This would show the two triangles are congruent through Side/Angle/Side. This would indicate that the two sides with equations are equal to each other. That being said, you can setup the equations to equal one another to solve for x:

7x + 24 = 13x - 48

Now, you would just solve this like a normal equation. I would subtract the 7x from both sides a well as add the 48 to both sides. This would result to: 72 = 6x

Dividing both sides by 6 would get you:

x = 12

sesenic [268]3 years ago
3 0

Answer:

X=12

Step-by-step explanation:

since it is an isosceles triangle opposite sides are congruent which means 7x+24=13x-48 you then would need to subtract either the whole numbers or the variables from each side so add 48 on each side it equals to 7x+72=13x then subtract 7x from 13x and you get 72=6x divide both sides 6/6=x, 72/6 Therefore x=12 HOPE that helped mark me brainiest pls

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Each side of a cube 2.5 cm long. what is the volume?
Firdavs [7]

V ≈ 15.63cm^3

volume of a cube = side × side × side = units^3

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<em>Hoped this helped!</em>

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Not sure about this please help!!!
harina [27]

Answer:

i think its the last one

Step-by-step explanation:

as 15 - 3 is 12 and then the 7

hope this helps

i would appreciate it if u can heart and like my answer and maybe even give it 5 stars or brainliest pls i beg u thx !!! : )

8 0
3 years ago
A land owner is planning to build a fenced-in, rectangular patio behind his garage, using his garage as one of the "walls." He
Vitek1552 [10]

Answer:

Maximum area = 800 square feet.

Step-by-step explanation:

In the figure attached,

Rectangle is showing width = x ft and the side towards garage is not to be fenced.

Length of the fence has been given as 80 ft.

Therefore, length of the fence = Sum of all three sides of the rectangle to be fenced

80 = x + x + y

80 = 2x + y

y = (80 - 2x)

Now area of the rectangle A = xy

Or function that represents the area of the rectangle is,

A(x) = x(80 - 2x)

A(x) = 80x - 2x²

To find the maximum area we will take the derivative of the function with respect to x and equate it to zero.

A'(x)=\frac{d}{dx}(80x-2x^{2})

             = 80 - 4x

A'(x) = 80 - 4x = 0

4x = 80

x = \frac{80}{4}

x = 20

Therefore, for x = 20 ft area of the rectangular patio will be maximum.

A(20) = 80×(20) - 2×(20)²

         = 1600 - 800

         = 800 square feet

Maximum area of the patio is 800 square feet.

7 0
3 years ago
Identify the least common multiple of x2 − 10x + 24 and x2 − x − 12. \
bulgar [2K]

Factor x^2 - 10x +24 = (x - 4)(x - 6)

Factor x^2 - x - 12 = (x - 4)(x + 3)

The common multiple is (x - 4)

6 0
3 years ago
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