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anyanavicka [17]
3 years ago
13

Graph △XYZ with vertices X(2, 3), Y(−3, 2), and Z(−4,−3) and its image after the translation (x, y)→(x+3, y−1)

Mathematics
1 answer:
viktelen [127]3 years ago
5 0

Answer:

  • X'(5, 2)
  • Y'(0, 1)
  • Z'(-1, -4)

Step-by-step explanation:

The translation increases each x-coordinate by 3, moving the point 3 units to the right. It decreases each y-coordinate by 1, moving the point 1 unit down.

  (x, y) ⇒ (x+3, y-1)

  X(2, 3) ⇒ X'(5, 2)

  Y(-3, 2) ⇒ Y'(0, 1)

  Z(-4, -3) ⇒ Z'(-1, -4)

The red arrows show the translation of each point in the graph.

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What expression lets us conclude that the parts of congruent triangles are congruent to each other?
Elanso [62]

The expression that allows us conclude parts of congruent triangles are congruent to each other is corresponding parts of Congruent Triangles are congruent

<h3>What are congruent triangles?</h3>

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. Two triangles are congruent when they have exactly the same three sides and exactly the same three angles.

To learn more about triangles, please check: brainly.com/question/22949981

#SPJ1

3 0
2 years ago
The table shows the temperatures in degrees Celsius, y, inside a shed at x hours past noon. The maximum and minimum temperatures
kolbaska11 [484]

Answer:

B

y = 3 cos (pi/12x - pi/4) + 17

Step-by-step explanation:

First find the average temperature which is 20 + 14/2 = 17

Find the amplitude

20 - 17 = 3

This means that that at noon, the shift is 3hrs past

the best equation that represents this scenario is y = 3 cos (\frac{\pi}{12}x - \frac{\pi}{4}) + 17

5 0
3 years ago
Find the value of x.
melisa1 [442]
To find the value of X, simply know that for this parallelogram, the angles on each end that are diagonal with respect to each other are the same. And knowing that the angles in a parallelogram add up to equal 360 degrees. Simply make an algebraic expression equal to the value of 360 and then solve for x.

X + X + (X - 26) + (X - 26) = 360
2X + X - 26 + X - 26 = 360
4X - 52 = 360
4x = 412
X = 103.

The value for X, I believe would be 103 degrees. You can verify this by plugging in the value into both expressions, X and X-26 and see that if adding all the expressions together does it equal 360 degrees.
7 0
3 years ago
5y+1=1<br> Subtract 1 from both sides
maks197457 [2]

Step-by-step explanation:

5y + 1 = 1 \\ subtracting \: 1 \: from \: both \: sides \\ \red{ \boxed{ \bold{ 5y + 1 - 1 = 1 - 1}}} \\ 5y = 0 \\ y = 0

4 0
3 years ago
Nine more than half of a number is 21
pogonyaev
I assume you're looking for the number:
0.5n + 9 = 21
- 9
0.5n = 12
÷ 0.5
n = 24
So the beginning number is 24, hope this helps!
3 0
3 years ago
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