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Rom4ik [11]
3 years ago
9

Please Help, What is the value of x?

Mathematics
1 answer:
Olenka [21]3 years ago
6 0
The triangles are simiar by AAA, so
\dfrac{x}{4\,cm}=\dfrac{40\,cm}{32\,cm}\\\\x=(4\,cm)\cdot\dfrac{40}{32}\\\\x=5\,cm
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Graph the following lines and write the equation in slope-intercept form. Through the point (2,−4) with y-intercept of −2.
CaHeK987 [17]

For this case we have that by definition, the equation in the form of slope-intersection is given by:


y = mx + b

Where

  • m is the slope
  • b is the cut point

Substituting the given point: (x, y) = (2, -4) and the cutoff point b = -2 we can find the slope,


We have:


-4 = m * 2-2\\-4 = 2m-2\\-4 + 2 = 2m\\-2 = 2m

m =-\frac{2}{2}\\m = -1

Thus, the equation is given by:


y = -x-2

Answer:


y = -x-2

See attached image


3 0
3 years ago
The center of the basketball court has a diameter of 12 feet. What is the area of the circle
jekas [21]

Answer:36π squared feet

Step-by-step explanation:

Diameter=12

Radius=diameter/2

Radius=12/2

Radius=6 feet

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Area of circle=36π

5 0
3 years ago
What is a formula for the nth term of the given sequence? 20,23, 26...​
lord [1]

Answer:

17 + 3n

Step-by-step explanation:

20, 23,26 ..............

This is an arithmetic series

First term = a = 20

Common difference = second term -  first term

                               d = 23 - 20 = 3

nth terms = a + (n-1)*d

               = 20 + (n -1) *3

               = 20 + n*3 - 1*3

              = 20 + 3n - 3

               = 20 - 3 + 3n

              = 17 + 3n

6 0
3 years ago
What is 1,015/12 as a mixed number and in simplest form?
ddd [48]
It would be 84 and 7/12
3 0
3 years ago
What is the solution to this equation?
padilas [110]

Answer:

x=3

Step-by-step explanation:

10-3x+8x=25

-10            -10

-3x+8x=    15

5x=15

5x/5=15/5

x=3

6 0
4 years ago
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