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puteri [66]
3 years ago
7

What set of transformations is performed on triangle RST to form triangle R’S’T’?

Mathematics
1 answer:
ra1l [238]3 years ago
4 0

Answer:

D. A translation 2 units down followed by a 270-degree counterclockwise rotation about the origin

Step-by-step explanation:

The given triangle has vertices at R(3,4), S(1,1), and T(5,1)

Translating the the vertices down by 2 units, we apply the rule;

(x,y)\to (x,y-2)

\implies (3,4)\to (3,2)

\implies (1,1)\to (1,-1)

\implies (5,1)\to (5,-1)

Rotating the resulting vertices through an angle 270 degrees counterclockwise, we apply the rule:

(x,y)\to (x,-y)

\implies (3,2)\to R'(2,-3)

\implies (1,-1)\to S'(-1,-1)

\implies (5,-1)\to T'(-1,-5)

Therefore the correct choice is D.

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Geometry. What is the measure of segment x rounded to the nearest hundredths place? Check picture below also.
Scorpion4ik [409]

Answer:

D. 21 ft

Step-by-step explanation:

We need to use Power of Points, which basically says that for intersecting chords in a circle (see attachment), a * b = c * d.

Here, we can say that a = x, b = 6, c = 7, and d = 18. Then, we have the equation:

ab = cd

x * 6 = 7 * 18

6x = 126

x = 21

Thus, x is 21 ft.

Hope this helps!

8 0
2 years ago
Read 2 more answers
What fraction of 1/2 is 1/3 ? Draw a tape diagram to represent the question
sergeinik [125]

Answer:

1/1.5

Step-by-step explanation:

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7 0
2 years ago
The population of a city is 578,992. The land area of the city is 67.2 mi².
Inessa05 [86]
Sorry man I don't know if im write but try 28.78
5 0
3 years ago
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Is y=2x+5 a example of a proportional realationship
SCORPION-xisa [38]
No it's as n example of a equality
7 0
3 years ago
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If I buy a stereo for $245 and this includes GST of 10%, what is the pre-GST price?
Ivan

Answer:  $222.73

===========================================

Work Shown:

x = pre-GST price

10% of x = 0.10x = tax amount

x + 0.10x = 1.10x = post-GST price = 245

1.10x = 245

x = 245/1.10

x = 222.7272 approximately

x = 222.73 is the price before tax.

------------

Check:

10% of 222.73 = 0.10*222.73 = 22.273 = 22.27

The tax amount ($22.27) is added to the pre-GST price to get

22.27+222.73 = 245

which matches the post-GST price mentioned.

The answer is confirmed.

Or another way to confirm the answer is to calculate this

1.10*222.73 = 245.003 = 245

6 0
2 years ago
Read 2 more answers
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