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Alexxx [7]
4 years ago
5

Which composition of transformations maps figure RSTUV to figure R"S"T"U"V"?

Mathematics
2 answers:
Sergeu [11.5K]4 years ago
5 0

Answer:

option: B is correct

A reflection across line n followed by a 270° rotation about point P.

Step-by-step explanation:

Clearly from the figure we could see that the graph is first reflected across the given line n such that we obtain the figure R'S'T'V'U' and then it is rotated 270° across the point P so that we obtain the figure R"S"T"U"V".

Hence, option B is correct.

( A reflection across line n followed by a 270° rotation about point P )

Nostrana [21]4 years ago
4 0
<h2>Answer:</h2>

The correct answer is option B.

A reflection across line n followed by a 270° rotation about point P.

Step-by-step explanation:

In the attached figure, we can see that RSTUV has been reflected down in a straight path across line 'n' to make R'S'T'U'V'.

After this transformation, the figure is again rotated across point P. This rotation is 270 degrees. Now we obtain the figure R"S"T"U"V".

Therefore, option B is correct.

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Answer:

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Step-by-step explanation:

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Fittoniya [83]

Answer:

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Step-by-step explanation:

8. You know that a triangle interior angles should add up to 180° so:

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180 = 16x - 12

168 = 16x

The you divide each side by 16:

168 ÷ 16 = 16x ÷ 16

X = 10.5

10. You know that a straight line equals 180° and interior angles add up to 180° so:

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155 ÷ 31 = 31x ÷ 31

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8 0
3 years ago
Solve the triangle.<br> A = 32°, a = 19, b = 14
Paha777 [63]

Answer:

A = 32°, a = 19, b = 14, B=22.98°, C = 125.02°, c = 29.36

Step-by-step explanation:

We have two sides of the triangle and we have an angle.

A = 32 °, a = 19, b = 14

We use the sine theorem to find the angle B.

We know that according to the sine theorem it is true that:

\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}

\frac{sin(32\°)}{19}=\frac{sin(B)}{14}

sin(B)=14*\frac{sin(32\°)}{19}\\\\B=Arcsin(14*\frac{sin(32\°)}{19})\\\\B=22.98\°

We know that the sum of the internal angles of a triangle is always equal to 180.

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C=180-32-22.98\\\\C=125.02\°

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\frac{sin(A)}{a}=\frac{sin(C)}{c}

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Answer:

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Step-by-step explanation:

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