Answer:To determine if the dashed triangle is a dilation image of the solid triangle with the center at the origin, and whether it is an enlargement or a reduction, we need to compare the corresponding side lengths of the triangles.
Given that the dashed triangle has vertices A'(-8, -12), B'(8, 12), and D'(-4, 16), let's calculate the side lengths of the solid triangle and the dashed triangle.
1. Solid triangle side lengths:
- Side AB: Distance between A(4, 6) and B(-4, -6)
AB = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((-4 - 4)^2 + (-6 - 6)^2)
= sqrt((-8)^2 + (-12)^2)
= sqrt(64 + 144)
= sqrt(208)
2. Dashed triangle side lengths:
- Side A'B': Distance between A'(-8, -12) and B'(8, 12)
A'B' = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((8 - (-8))^2 + (12 - (-12))^2)
= sqrt((16)^2 + (24)^2)
= sqrt(256 + 576)
= sqrt(832)
Comparing the side lengths, we have sqrt(832) for the dashed triangle and sqrt(208) for the solid triangle.
Since sqrt(832) is greater than sqrt(208), this means the dashed triangle is larger than the solid triangle.
Therefore, the dashed triangle is an enlargement.
The correct answer is "enlargement."
Please let me know if there's anything else I can help you with.
Step-by-step explanation:
Answer:
0.3907.
Step-by-step explanation:
Using trigonometric identities, we can write cos 23° in terms of sin 23° as, cos(23°) = √(1 - sin²(23°)). Here, the value of sin 23° is equal to 0.3907.
Answer:
what does international employment mean ? explain its important in any four points
A.
A card is drawn from the box and the number is odd.
A card is drawn from the box and the number is 10.
B.
A card is drawn from the box and the number is even.
A card is drawn from the box and the number is 4.
C.
A card is drawn from the box and the number is even.
A card is drawn from the box and the number is 8.
D.
A card is drawn from the box and the number is a multiple of 3.
A card is drawn from the box and the number is 6.