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Romashka-Z-Leto [24]
3 years ago
13

What sequence of transformations, when applied to △XYZ , shows that △XYZ is similar to △X′Y′Z′ ?

Mathematics
2 answers:
jek_recluse [69]3 years ago
8 0

Answer:

dilation with respect to the origin by a scale factor of 2 followed by a translation of 4 units down

Step-by-step explanation:

stiks02 [169]3 years ago
4 0
The coordinates of Δxyz ⇒⇒ x(1,1)     y(2,3)    z(3,2)
The coordinates of Δx'y'z' ⇒⇒ x'(2,-2)   y'(4,2)    z'(6,0)

1. Applying the transformation of the first sentence on Δxyz
The results are ⇒⇒⇒ (2,-2)   (4,2)    (6,0)

2. Applying the transformation of the second sentence on Δxyz
The results are ⇒⇒⇒ (12,14)   (24,38)    (36,28)

3. Applying the transformation of the third sentence on Δxyz
The results are ⇒⇒⇒ (12,-36)   (24,-12)    (36,-24)

4. Applying the transformation of the fourth sentence on Δxyz
The results are ⇒⇒⇒ (2,-6)   (4,-2)    (6,-4)

By comparing the results obtained with the coordinates of Δx'y'z'
So, the correct answer is the first sentence.
<span>dilation with respect to the origin by a scale factor of 2 followed by a translation of 4 units down</span>








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the perimeter of the quadrilateral is 49 centimeters. find the length of each side. x+9 , x^2-2x , x+4 , 3x-4
shtirl [24]
X= 5 or -8

Add all the like terms and set it equal to 49, use quadratic formula or factoring. 
3 0
3 years ago
The roof of a house seen from the front is an isosceles triangle \Delta ABC ΔABC with base 14.5 m and sides of length 8.5 m. Fin
melamori03 [73]

Answer:

4.4 m

Step-by-step explanation:

Draw the height of the triangle (perpendicular line from point A to line BC).  Since ABC is an isosceles triangle, the height is a perpendicular bisector, so it splits the triangle into two congruent right triangles.

Use Pythagorean theorem to find the height.

c² = a² + b²

(8.5 m)² = (14.5/2 m)² + h²

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7 0
3 years ago
Which compound inequality represented by the graph below?
nekit [7.7K]

Answer: x < -1 or x ≥ 3

Step-by-step explanation:

     First we will look at the left part. The circle is open (not "equal to), arrow is pointing to the left (showing "less than" in this case), and the value is on -1;

         x < -1

     Second, we will look at the right part. The circle is closed (showing "equal to"), the arrow is pointing to the right (showing "greater than" in this case). and the value is on 3;

         x ≥ 3

     Lastly, we will write the final compound inequality. In this case, we use the word "or" because the solution value is either less than -1 or greater than and equal to 3.

     <em>Note: The word "and" is only used when the "arrows point towards each other" creating a segment, so to say. In this case, they "point away" so we use the word or.</em>

6 0
2 years ago
Angles 2 and 7 are called what
Phantasy [73]

Answer:

Alternate Exterior Angles

Step-by-step explanation:

Alternate exterior angles are two angles on the opposite outer sides of two parallel lines cut by a transversal.  

The two angles given, 2 and 7, are alternate exterior angles.

Hope it helps! :)

3 0
3 years ago
What is negative 9 plus 16/7
jekas [21]

Step-by-step explanation:

-9 + 16/7 = ?

First, find out what 16/7 would make in decimal form, by dividing 16 by 7 (Use a calculator if needed)

16 / 7 = 2.3 (In estimation)

So, now you have ' -9 + 2.3 '

= -6.7

7 0
3 years ago
Read 2 more answers
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