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abruzzese [7]
2 years ago
5

Find the value of x and y in the parallelogram ​

Mathematics
1 answer:
marta [7]2 years ago
8 0

Answer:

x=14

y=40

Step-by-step explanation:

A parallelogram is like a rectangle 2 parallel sides are equal.

so x+3=17 and y-2=38

x+3=17

x=17-3

x=14

y-2=38

y=38+2

y=40

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Use the fuction h(x)=5x-2 and t(x) =4x+6 to complete the fuction operations listed below
Pavlova-9 [17]
Part A
(h + t)(x)
(5x - 2 + 4x + 6)(x)   First plug in the numbers
(9x + 4)(x)   Add h(x) and t(x)
(9x² + 4x)   Then multiply it by x
x(9x + 4)   Lastly, simplify x out (I'm including both answers because I don't know whether your questions will ask for either one)
Unsimplified Answer: 9x² + 4x      Simplified Answer: x(9x + 4)

Part B
(h x t)(x)
(5x - 2)(4x + 6)(x)    First step is to of cource, plug in the numbers
(20x² + 30x -8x -12)(x)   Next we multiply h(x) and t(x)
(20x² + 22x -12)(x)     Simplify it a little
(20x³ + 22x² - 12x)    After that, multiply the whole thing by x
(2x)(10x² + 11x - 6)     Simplify 2x out of the equation
(2x)(5x - 2)(2x + 3)    Lastly, simplify the rest
Unsimplified Answer: (20x³ + 22x² -12x)    Simplified Answer: (2x)(5x - 2)(2x + 3)

Part C
h[t(x)]
(5x - 2) [(4x + 6)(x)]    Plug in the numbers
(5x - 2)(4x² + 6x)       Multiply t(x) and x
(20x³ + 30x² - 8x² -12x)    Multiply that by h(x)
(20x³ + 22x² -12x)     Simplify a little... Wait! That looks like the answer to Part B! Perhaps we did something wrong, let's go back and alter the third step
(5x -2)(2x)(2x + 3)     This time, simplify before multiplying oh wait, that's part B's simplified answer, isn't it.
Well, there's a good explanation for this: Part B and Part C are essentially the same equations, just in slightly different orders!
So, it will have the same answers and Part B! (At least, in theory, I'd recommend checking this for yourself too!)
Unsimplified Answer: (20x³ + 22x² - 12x)   Simplified Answer: (2x)(5x-2)(2x+3)

Well, that's a wrap, Parts A, B, and, C with work and explanations; if you find that I made a mistake or did something wrong let me know. I hope this helped, and good luck!
8 0
3 years ago
Which sequence of transformations confirms congruence by mapping shape I onto shape II?
Lubov Fominskaja [6]

Answer:

  • Neither of the choices is correct.

Explanation:

<u>1. Coordinates of the vertices of the figure I (preimage):</u>

  • (10, - 5)
  • (15, -5)
  • (10, - 10)
  • (15, -10)

<u />

<u>2. Coordinates of the vertices of the figure II (image):</u>

  • (0,10)
  • (0,15)
  • (-5,10)
  • (-5, 15)

Since many different rigid transformations can map the figure I into the figue II, you will need to use trial and error.

The most important is to do it in an educated way.

I will start by eliminating some options.

The first option, a reflection across the x-axis and 15 units left, does not work, because the reflection across the x-axis would shift the figure to a lower position than what you need.

The third option, a 90º counterclokwise rotation about the origin then a translation 10 units up, would move the figure to the second quadrant, and we need it in the third quadrant.

I will try now with the second choice, a 90º clockwise rotation and then 25 units up:

First, a 90º clockwise rotation, which is the same that a 270º counterclockwise rotation, follows the rule (x, y) → (y, -x)

Then, that results in:

  • (10, - 5) → (-5, -10)
  • (15, -5) → (-5, -15)
  • (10, - 10) → (-10, -10)
  • (15, -10) → (-10, -15)

Now, you can see that shifting 25 units up will not work, because you need that two x-coordinates become 0 (zero). So, this is not the correct set of transformations either.

A 180º rotation about the origin and a translation 10 units right follow this chain of rules:

  • (x, y) → (-x, -y) → (-x + 10, -y)

That means:

  • (10, - 5) → (-10,5) → (-10 + 10, 5) = (0, 5)
  • (15, -5) → (-15, 5) → (-15 + 10, 5) = (-5, 5)
  • (10, - 10) → (-10, 10) → (-10 + 10, 10) = (0, 10)
  • (15, -10) → (-15, 10) → (-15 + 10, 10) = (-5, 10)

        These last points do not coincide either with the vertices of the figure II.

In conclusion, neither of the choices gives the correct answer to the question.

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3 years ago
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Nina used plastic rectangles to make 6 rectangular prisms. How many rectangles did she use?
Reil [10]

Answer:

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Step-by-step explanation:

6 X 6 = 36

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Can someone help me with this math homework please!
ZanzabumX [31]

Answer:

You can do this on ur own

Step-by-step explanation:

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Answer:

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