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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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Find the distance between the two points.
Law Incorporation [45]

Answer:  89 will go in the box

This means the exact distance between the two given points is \sqrt{89} which approximates to roughly 9.4339811

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

Explanation:

To get that answer, we can apply the distance formula

(x1,y1) = (-1,-5) is the first point

(x2,y2) = (4,3) is the second point

Plug the coordinates into the distance formula

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\

--------------------------

Alternative Method:

You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.

After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get \sqrt{89} as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.

8 0
3 years ago
How do u find wolverine in fortnite?
klio [65]

Answer: Weeping Woods or Slurpy Swamp.

7 0
3 years ago
Jim drove 168 miles in 4hr. If he can keep the same pace, how long will it take him to drive 504 miles
Jobisdone [24]
Since he went 168 miles in 4 hours, then his speed is 42 mph. Then, 504 divided by 42 is 12. It will take 12 hours at a steady pace of 42 mph to reach 504 miles. 
8 0
4 years ago
Read 2 more answers
Profit or loss question..please solve this​
Yuki888 [10]

<em>Answer:</em>

<em>I would say he makes 10.5%</em>

<em>Step-by-step explanation:</em>

<em />

<em>Let the price at which the shopkeeper bought the article be 100. </em>

<em>Since he has to make a profit of 30%, he would mark the price as 130. </em>

<em>Now, he allows a discount of 15% i.e. 15% of 130 = 19.5 </em>

<em>The actual discounted price= 130–19.5= 110.5 </em>

<em> </em>

<u><em>He gets 10.5 on 100. The profit percent he makes is 10.5%</em></u>

5 0
3 years ago
Which number supports the given conjecture?
choli [55]
A. 16 is divisible by 2 but not divisible by 3
B. 23 is not divisible neither by 2 nor 3
C. 27 is not divisible by 2, however it's divisible by 3
D. 36 is divisible both by 2 and 3

So the only number we can focus on is 36:

36 ÷ 2 = 18
36 ÷ 3 = 12
36 ÷ 6 = 6

Answer: D, 36 supports the given conjecture.
3 0
4 years ago
Read 2 more answers
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