Triangle RST is congruent to triangle .Which sequence of transformations could have been used to transform triangle RST to produce triangle ?

Choose exactly two answers that are correct.

A.
Triangle RST was reflected across the x-axis and then rotated 90° clockwise around the origin.

B.
Triangle RST was reflected across the x-axis and then reflected across the y-axis.

C.
Triangle RST was rotated counterclockwise 90° around the origin and then reflected across the x-axis.

D.
Triangle RST was translated 8 units right and then reflected across the x-axis.

Answers

Answer 1

Answer: Triangle RST is congruent to triangle .The sequence of transformations could have been used to transform triangle RST to produce triangle is Triangle RST was translated 8 units right and then reflected across the x-axis. The answer is letter D. The rest of the choices do not answer the question above

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If a 143-mile trip took 5 1/2 gallons of gas, how many miles can be driven with a full tank of 14 gallons?

Answers

Set up the proportion: 143/5.5 = x/14

Cross-multiply the proportion: (143) (14) = 5.5 x

Divide each side by 5.5 : x = (143) (14) / 5.5 = 364 miles

Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.Short = 7

Hypotenuse =

Answers

Answer:

Length of the hypotenuse is 14 units.

Step-by-step explanation:

30°-60°-90° Right triangle-

The length of the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle.

The length of the longer leg, which is across from the 60 degree angle, is the product of length of the shorter leg and √3.

As here the length of short leg is given 7, so length of the hypotenuse is $2* 7=14$

Answer:

14 units.

correct me if im wrong ;)

Suppose we want to choose 2 objects without replacement from the 4 colors red, blue, green, purple. How many ways can this be done, if the order of the choices matter?

Answers

Answer:

Number of ways = 6

Step-by-step explanation:

Given:

Total number of choices = 4

Taken object choices = 2

Find:

Number of ways

Computation:

Number of ways = [4 × 3] / 2!

Number of ways = [4 × 3] / [2 × 1]

Number of ways = [12] / [2]

Number of ways = 6

Answer:

These are the awnsers to it!

1: 12

2. 6

A bowl holds 100 peanuts . how many bowls would hold a million peanuts?

Answers

You would need 10,000 bowls to hold a million nuts
1 bowl = 100
? bowl = 1,000,000

1,000,000 / 100 = 10,000
Therefore
10,000 bowl = 1,000,000 nuts

Which polynomial represents the area of the rectangle?a. 3x2+2x−5
b. 3x2−5
c. 3x2−2x−5
d. 3x2−8x−5

Answers

Answer:

Step-by-step explanation:

The correct option is C.

Step-by-step explanation:

The width of the rectangular pen is

The length of the rectangular pen is

The perimeter of a rectangle is

Therefore the correct option is C.

Final answer:

Without specific dimensions for the rectangle, it's impossible to definitively determine which polynomial represents its area. If we knew the length and width in terms of x, we could then form a polynomial by multiplying them.

Explanation:

This question is based on the concept of polynomials and their application in representing areas. From the provided question, we don't have specific dimensions of the rectangle, thus making it impossible to definitively determine which polynomial represents its area.

If the length and width of the rectangle were expressed in terms of x (e.g., 3x and x, or some other terms x and 2x-5), then we could put these expressions in the form of a polynomial by multiplying them together. For example, if we suppose our rectangle has sides of 3x and x, then the area would be represented by the polynomial 3x2, which equals to 3x*x.

However, without specific rectangular dimensions, we can't accurately choose between the provided options: 3x2+2x−5, 3x2−5, 3x2−2x−5, and 3x2−8x−5.