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Lady bird [3.3K]
3 years ago
7

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.

Mathematics
1 answer:
natta225 [31]3 years ago
8 0

Answer:

Correct answer is:

The transformation was a 180° rotation about the origin.

Step-by-step explanation:

Given the triangle RST formed by points:

R (1, 1),\\S (3, 1)\ and\\T (1, 6)

is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :

R' (-1, -1),\\S' (-3, -1)\ and\\T' (-1, -6)

Please refer to the attached image for the given dimensions and coordinates.

It is clearly visible that:

The given triangle RST has coordinates in first quadrant.

and the resulting coordinates R'S'T' are in third quadrant.

The rotation of angle from 1st quadrant to 2nd quadrant is 90^\circ and

The rotation of angle from 2nd quadrant to 3rd quadrant is 90^\circ.

<em></em>\therefore<em> total rotation is </em>180^\circ.

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5 0
3 years ago
−6x + 14 &lt; −28 OR 9x + 15 ≤ −12. solve for x.
sasho [114]

Answer:

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Step-by-step explanation:

Solving the 1st inequality

-6x +14 < -28 --------------- (Collect like terms)

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Note: If you decide an inequality expression by a negative value, the inequality sign changes)

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Solving the 2nd inequality

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9

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Bring both results together, we get

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The final result is complex (i.e. can't be combined together).

4 0
3 years ago
Can you simplify 3/r + 7/r+3
Nutka1998 [239]
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What values of y satisfy this equation?<br><br> 3y - 14 = 16
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Answer:

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Step-by-step explanation:

3y-14=16

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divide 3 on both sides

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Hope this helps!

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3 years ago
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Answer:

B

Step-by-step explanation:

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6 0
3 years ago
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