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DiKsa [7]
3 years ago
8

Determine whether abc ----> jgh is a reflection, translation, rotation, or glide reflection.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0
From this picture you can calculate coordinates of triangles' vertices:
A(-9,0),\ B(-6,-4),\ C(-3,0),\ J(8,0),\ G(5,4),\ H(2,0).

Since 

\frac{-9+8}{2} = \frac{-6+5}{2}= \frac{-3+2}{2}=- \frac{1}{2} \frac{0+0}{2}= \frac{-4+4}{2} = \frac{0+0}{2} =0 

you can conclude that points A, B, C are rotated by 180^0 about the point (-0.5,0) to form points J, G, H, respectively.

Answer: A is correct choice.
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On a number line, point D is at -3, and point E is at 6. The point F lies on DE. The ratio of DF to FE is 2:3. Where does point
expeople1 [14]

Answer: point F is at <u>   0.6   </u> on the number line

=============================================================

Explanation:

The ratio 2:3 scales up to 2x:3x for some positive real number x.

This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.

D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9

Set this equal to the 5x from earlier and solve

5x = 9

x = 9/5

x = 1.8

This leads to 2x = 2*1.8 = 3.6

Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.

Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.

5 0
3 years ago
10. The value of the 8th term is 78.
Yuri [45]

Answer: The answer is 88

Step-by-step explanation: It is recursive because you can add 78+10=88

5 0
3 years ago
Is 90 integers or rational Number
Natasha_Volkova [10]

90 is a rational number

4 0
3 years ago
Read 2 more answers
Y=1−2x;x=9 can you please help
Anit [1.1K]

Answer:

17

Step-by-step explanation:

since you are given that x is 9 all you have to do is plug it in. So 1-2(9) 2 times 9 is 18 so 1-18=17

7 0
3 years ago
Read 2 more answers
What is the surface area of the triangular prism?
eduard

Answer:

The answer is the third

The surface area of prism = 81 ft²

Step-by-step explanation:

∵ The triangular prism has 5 faces

- Two triangles ⇒ bases

- 3 rectangles ⇒ side faces

* to find the surface area of it, we will find the area of

 each face and add them together

- Area of bases:

∵ The bases are right angle triangles with base 6 ft and height 4.5 ft

∵ Area triangle = 1/2 × base × height

∴ Area one base = 1/2 × 6 × 4.5 = 13.5 ft²

∴ Area two bases = 13.5 × 2 = 27 ft² ⇒ (1)

- Area of the first rectangle with dimensions 3 ft and 6 ft

∵ Area rectangle = L × W

∴ Area 1st rectangle = 3 × 6 = 18 ft² ⇒ (2)

- Area of the second rectangle with dimensions 3 ft and 7.5 ft

∴ Area 2nd rectangle = 3 × 7.5 = 22.5 ft² ⇒ (3)

- Area of the third rectangle with dimensions 3 ft and 4.5 ft

∴ Area 3rd rectangle = 3 × 4.5 = 13.5 ft² ⇒ (4)

Add (1) , (2) , (3) and (4)

∴ The surface area of prism = 27 + 18 + 22.5 + 13.5 = 81 ft²

8 0
3 years ago
Read 2 more answers
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