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fgiga [73]
3 years ago
10

Can anyone please help me find the length of X? ​

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
8 0

Solution:

<u>Note that:</u>

  • 2(Perimeter of smaller triangle) = Perimeter of larger triangle

<u>Using the perimeter of the smaller triangle, solve for x.</u>

  • 2(Perimeter of smaller triangle) = Perimeter of larger triangle
  • => 2(3.5 + x + h) = 7 + 4 + 2h
  • => 7 + 2x + 2h = 7 + 4 + 2h
  • => 2x = 4
  • => x = 2

The length of x is 2 units.

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Find the constant of variation k for the direct variation ​
Alla [95]

Answer:

The constant of variation is k = -2 ⇒ (B)

Step-by-step explanation:

The equation of the direct variation is y = k x, where

  • k is the constant of variation
  • The constant of variation k = \frac{y}{x}

The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)

We can use one of the points <em>[except point (0, 0)]</em> to find the value of k

∵ (-1, 2) is a given point

∴ x = -1 and y = 2

∵ k = \frac{y}{x}

→ Substitute the values of x and y in the relation above

∴ k = \frac{2}{-1}

∴ k = -2

The constant of variation is k = -2

7 0
3 years ago
The table shows the temperatures in degrees Celsius, y, inside a shed at x hours past noon. The maximum and minimum temperatures
kolbaska11 [484]

Answer:

B

y = 3 cos (pi/12x - pi/4) + 17

Step-by-step explanation:

First find the average temperature which is 20 + 14/2 = 17

Find the amplitude

20 - 17 = 3

This means that that at noon, the shift is 3hrs past

the best equation that represents this scenario is y = 3 cos (\frac{\pi}{12}x - \frac{\pi}{4}) + 17

5 0
3 years ago
The greatest common factor of 3m2n + 12mn2 is
Kamila [148]
3m^2n+12mn^2
In both the sets, 3 and m as well as n can be found as common factors.
So,
3mn( m+4n)


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8 0
3 years ago
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3(2x-5)= 5(x-4)<br>help pls
yan [13]
This is simple simplifying. If you need an explanation dm me.
here is the answer
x=-5
7 0
3 years ago
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An automobile factory,1849 parts are made in 4 hours.what is the average rate at which parts are made per hour?
MAXImum [283]

Answer:

There are 462.25 parts being made per hour

Step-by-step explanation:

<u>Step 1:  Make an equation</u>

An automobile factory, 1849 parts are made in 4 hours.

<em>1849 / 4 = x</em>

<em />

<u>Step 2:  Solve</u>

1849 / 4 = x

<em>462.25 = x</em>

<em />

Answer:  There are 462.25 parts being made per hour

7 0
3 years ago
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