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Korvikt [17]
3 years ago
13

Triangle PQR is reflected across a line, P = (4,–5), and P’ = (–4, –5). What is the line of reflection? the x-axis the y-axis th

e line y = x the line y = –x
Mathematics
2 answers:
Evgesh-ka [11]3 years ago
3 0

For this case we have that the original vertex is given by:

P = (4, -5)

We apply the following transformation:

(x, y) (-x, y)

We have then:

(4, -5) (- (4), -5) (- 4, -5)

Therefore, we have a reflection on the y axis.

The point obtained is the vertice:

P '= (-4, -5)

Answer:

the line of reflection is:

the y-axis

kondaur [170]3 years ago
3 0

Answer:

y-axis

Step-by-step explanation:

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Find the limit of the sequence of partial sums whose general term is <img src="https://tex.z-dn.net/?f=a_n%3D%5Cfrac%7B100%5En%7
nasty-shy [4]

Answer:

0

Step-by-step explanation:

If ∑aₙ converges, then lim(n→∞)aₙ = 0.

Using ratio test, we can determine if the series converges:

If lim(n→∞) |aₙ₊₁ / aₙ| < 1, then ∑aₙ converges.

If lim(n→∞) |aₙ₊₁ / aₙ| > 1, then ∑aₙ diverges.

lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) / (100ⁿ / n!)|

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7 0
3 years ago
Find the angle measures. Justify your responses.
MatroZZZ [7]

Answer:

m∠3 = 2x - 10° and m∠6 = 3x + 20

m∠3 = 58°          ;    m ∠6 = 122°

Step-by-step explanation:

a ║ b

m∠2 = m∠6                     If ║ cut by a transversal, then corresponding angles

                                         are ≅ and =

m∠7 = m∠3                   If ║ cut by a transversal, then corresponding angles

                                       are ≅ and =

m∠2 = 3x + 20              Given

m∠7 = 2x - 10                 Given    

m∠6 + m∠3 = 180°         If ║ cut by a transversal, then each pair of same-side

                                       interior angles (also called consecutive interior angles

                                       are supplementary (sum = 180°) .    

3x + 20 + 2x - 10 = 180°

5x + 10 = 180°

5x = 170°

x = 34°

Answer:   m∠3 = 2x - 10° and m∠6 = 3x + 20

                m∠3 = 2(34) - 10  ;    m∠6 = 3(34) + 20

                 m∠3 = 58°          ;    m ∠6 = 122°

                                 

5 0
3 years ago
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