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rusak2
2 months ago
9

"The difference between five-halves of a number and 17 is 48."

Mathematics
1 answer:
Inessa [12.5K]2 months ago
5 0
Let the number be x. The equation x/5 - 17 = 48 leads to (x - 85)/5 = 48. Multiplying gives x - 85 = 240, so x = 240 + 85, resulting in x = 325.
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Triangle KLM was dilated according to the rule DO,0.75 (x,y). What is true about the image △K'L'M'? Check all that apply. DO, 0.
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It is stated that the triangle ABC underwent dilation as per the rule DO,0.75 (x,y)

DO, 0.75(x,y) signifies the dilation rule, where both x and y values are scaled by 0.75, indicating that the dilation, centered around the origin, has a scale factor of 0.75. The representation for this dilation would be,

(x,y)\rightarrow (0.75x,0.75y)

Consequently, the first statement holds true.

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Thus, the second statement "LM is parallel to L'M'" is also accurate, while the third and fifth statements are incorrect.

The scale factor of 0.75, being less than 1, suggests that the vertices of the image are closer to the origin compared to those of the pre-image.

Hence, the fourth statement "The vertices of the image are nearer to the origin compared to the pre-image" is indeed correct.

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