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melamori03 [73]
3 years ago
11

After a reflection of the figure, the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1). What is the line of reflection?

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0

Answer:

A. y=2

Step-by-step explanation:

If  you draw a line on y=2 and reflect it, A will be on (5,1), B will be on (3,-1), and C will be at (7,-1) Let me know if you need any more help. Have a nice day. :)

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AND EXPLAIN WHY!! DUE IN 20 MINUTES
Luda [366]

Answer:

  c.  (x -6, y +8)

Step-by-step explanation:

We can tell which answer to choose by looking at the change in the y-coordinate. Point Y is (4, -4). Point Y' is (-2, 4). The new y-coordinate has been translated upward by ...

  4 -(-4) = 8 . . . units

That is, y' = y +8. This matches choice C.

The translation of Y(4, -4) to Y'(-2, 4) is described by ...

  (x, y) ⇒ (x -6, y +8)

  Y(4, -4) ⇒ Y'(4 -6, -4 +8) = Y'(-2, 4)

6 0
2 years ago
Side lengths of a triangle 5x-1 and 4x+1
m_a_m_a [10]
You aren't sharing much information (no directions??).

If your triangle is a right triangle AND 5x-1 and 4x+1 represent the lengths of the 2 shortest sides, then the Pyth. Theorem tells us that

(5x-1)^2 + (4x+1)^2 = (hypotenuse length)^2.

We know that this could not be an equilateral triangle, because 5x-1 differs from 4x+1.

This could be an isosceles triangle if the third side were either 5x-1 or 4x+1.

Please be more specific about what you're supposed to do here.

4 0
3 years ago
Cassidy bought some shirts and pants for $214.She spent $60 on shirts. If Cassidy bought 7 pairs of pants for the same price eac
mart [117]
Answer: 22$ each Explanation: 214$-60$=154$
154/7= 22
7 0
3 years ago
Sine, cosine, and tangent to calculate the height of the buildings in the diagram below.
DiKsa [7]

Answer: Around 68.0858 m

Step-by-step explanation:

  • Set the height of 37°-53°-90° triangle as x
  • Set the height of 50°-40°-90° triangle as y
  • The horizontal side both triangles share = 35

To find x                            To find y  

tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...                     tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...

To find the height of the building, add the x-value and y-value:

x+y=26.3744+41.7114=68.0858  

<em>I hope this is correct o_o</em>

7 0
3 years ago
The difference in age between Brita and her daughter Eva is 30 years. The sum or their ages is 118. How old is Eva?
seraphim [82]

Answer: 44 years

Step-by-step explanation:

Let Brita's age be x and the daughter's age be y , then from the first statement :

x - y = 30

From the second statement :

x + y = 118

solving the resulting linear equation , add the two equations , we have

2x = 148

x = 74

substitute 74 into equation 1 to find the value of y

74- y = 30

y = 74 - 30

y = 44

Therefore :

Eva = 44 years

6 0
2 years ago
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