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alisha [4.7K]
3 years ago
15

Find the value of x in each case: If you solve this correctly, I will give you brainliest pleasee help

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

\text{Hello there! :)}

\huge\boxed{x = 22.5}\text{Since we know that DE and AC are parallel,}\\\\\text{We can use the Alternate-exterior angle congruency to determine the value of "x":}\\\\6x = 2x + \text{ The supplement of 4, therefore:}\\\\6x = 2x + 180 - 4x\\\\\text{Isolate the "x" variable by adding 4x and subtracting 2x from both sides:}\\\\8x = 180\\\\\text{Divide both sides by 8:}\\\\\boxed{x = 22.5}

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Given the number 2464829438 what is the next number?
malfutka [58]
2464829438
The next number is 2,464,829,439
5 0
3 years ago
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There are 30 books on the library shelf, Sam noted that 1/6 of them are non fiction. Dan notes that 3/5 of the books are fiction
ehidna [41]

Answer:

7

Step-by-step explanation:

Fiction books:  (1/6) of 30 books = 5 books

Non-fiction books:  (3/5) of (30) books = 18 books

The subtotal here is 5 + 18, or 23.  

23 of the books are either fiction or non fiction.

30 - 23, or 7, of the books remain (are neither fiction nor non-fiction).

3 0
3 years ago
Solve the system. -3x-y=10; y-4z=-13; x-4y+z=4
kvasek [131]

9514 1404 393

Answer:

  (x, y, z) = (-3, -1, 3)

Step-by-step explanation:

Many graphing calculators can solve matrix equations handily. Here, we use a combination of methods.

Use the last equation to write an expression for z.

  z = 4 -x +4y

Substitute this into the second equation:

  y -4(4 -x +4y) = -13

  y -16 +4x -16y = -13

  4x -15y -3 = 0

In genera form, the first equation can be written as ...

  3x +y +10 = 0

Now, the solution to these two equations can be found to be ...

  x = (-15(10) -1(-3))/(4(1) -3(-15)) = (-150 +3)/(4+45) = -3 . . . using "Cramer's rule"

  y = -(10 +3x) = -(10 -9) = -1 . . . . from the first equation

  z = 4 -(-3) +4(-1) = 3 . . . . . . . . from our equation for z

The solution to the system is (x, y, z) = (-3, -1, 3).

_____

<em>Additional comment</em>

Written as an augmented matrix, the system of equations is ...

  \left[\begin{array}{ccc|c}-3&-1&0&10\\0&1&-4&-13\\1&-4&1&4\end{array}\right]

4 0
3 years ago
Please help! Correct answer only, please! Consider the following information matrices for the price of clothing at a clothing st
ololo11 [35]

Answer: b) Large blue t-shirt & Medium RC jeans

<u>Step-by-step explanation:</u>

The subscript numbers attached to the matrix letter represents the:

ROW, COLUMN

A=\left[\begin{array}{ccc}a_{1,1}&a_{1, 2}&a_{1, 3}\\a_{2,1}&a_{2, 2}&a_{2, 3}\\a_{3,1}&a_{3, 2}&a_{3, 3}\end{array}\right] \qquad B=\left[\begin{array}{ccc}a_{1,1}&b_{1, 2}&b_{1, 3}\\b_{2,1}&b_{2, 2}&b_{2, 3}\\b_{3,1}&b_{3, 2}&b_{3, 3}\end{array}\right]\\

A₁,₃ = 1st row, 3rd column

         1st row is Blue, 3rd column is Large

B₃,₂ = 3rd row, 2nd column

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A₁,₃ + B₃,₂ = Large blue t-shirt & Medium RC jeans

8 0
3 years ago
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arsen [322]

How man bags were used?

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We can say about 14 bags by rounding to the nearest whole number. Therefore, 14 bags were used.

5 0
2 years ago
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