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jekas [21]
4 years ago
9

The pentagon PQRST is transformed into P'Q'R'S'T' using which two transformations?

Mathematics
2 answers:
Alik [6]4 years ago
7 0
The orientation has changed, so a reflection is involved. Point Q is at the top, but Q' is at the bottom, so it is a reflection across the x-axis. All points are translated 3 to the left, so that leaves the options as ...
  translation 3 units to left and 3 units down
  reflection across the x-axis


_____
The transformations were done in the order listed.
Taya2010 [7]4 years ago
7 0

Answer:

B) translation 3 units to left and 3 units down

D) reflection across the x-axis

Step-by-step explanation:

The pentagon PQRST is up with respect to point Q, and P'Q'R'S'T' is down with respect to point Q'.

So it is reflection about x-axis.

All points are translated 3 to the left and 3 units down.

Therefore, answer is

B) translation 3 units to left and 3 units down

and

D) reflection across the x-axis

Hope this will helpful.

Thank you.

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Yanka [14]
Maybe it the mixed number form. 2 1/2?
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3 years ago
PLEASE HELP!!! The side lengths of a square are each 5q. By adding 3 to the length and subtracting 3 from the width, a rectangle
Oksanka [162]

Answer:

Option C

Step-by-step explanation:

When you put the write the scenario in an equation, it'll look like

(5q+3)(5q-3) for the new width times the new length

Factor these, and you shall get 25q^2+15q-15q-9. Simplify that into

25q^2-9

8 0
3 years ago
The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal with a mean of 16.12 OZ and a
elena-14-01-66 [18.8K]

Answer: 90.82%

Step-by-step explanation:

Given : The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal .

Mean : \mu=16.12\text{ OZ}

Standard deviation: \sigma=0.09\text{ OZ}

Let X be the random variable that represents the amount of soda in bottles.

Formula for z-score : z=\dfrac{x-\mu}{\sigma}

Z-score for 16 oz: z=\dfrac{16-16.12}{0.09}=-1.33

Using the standard normal z-distribution table , the probability that the soda bottles that contain more than the 16 OZ is given by :_

P(x>60)=P(z>-1.33)=1-P(x\leq-1.33)=1-0.0917591=0.9082409\approx0.9082\approx90.82\%

Hence, the percentage of the soda bottles that contain more than the 16 OZ advertised is 90.82% .

8 0
4 years ago
Solve for x: 3(x + 1) = -2(x - 1) + 6. (1 point)
konstantin123 [22]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 1

3 0
3 years ago
Read 2 more answers
Bc-ad = 3c+r solve for c
Annette [7]

Answer:

-ad-r=C

--------                    Sorry thats the best I could do for a fraction symbol

3-b

Step-by-step explanation:

In order to solve for C we need to get it C on one side of the equation all by itself.  To start we can subtract R from both sides and subtract bc from both sides to get both C's on one side.  That gets us to

-ad-r=3c-bc

Since the side with C has a common factor, C between 3c and bc we can pull that out, and we get

-ad-r=c(3-b)

and then we just divide 3-b on both sides to get C completely by itself

-ad-r=C

--------

3-b

I hope this helps and please don't hesitate to ask if there is anything still unclear!

4 0
3 years ago
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