1 answer:
Answer:
Distance between cities Y and Z = 26 miles
Step-by-step explanation:
From the picture attached,
Length of XY = 10 mi
Length of XZ = 24 mi
By applying Pythagoras theorem in the given right triangle XYZ,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
YZ² = XY² + XZ²
= 10² + 24²
= 100 + 576
= 676
YZ = √676
= 26 mi
Therefore, distance between cities Y and Z is 26 mi.
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Answer:
The similar figures are shown in the attached drawing created with Microsoft Visio;
The similar figures are the rectangles in figures 2, and 5
Step-by-step explanation:
The given figure is a rectangle with dimensions of 3 yd. by 9 yd., therefore the length = 3 × The width of the rectangle
1) The 9 yd. by 18 yd. figure is a rectangle with the length = 2 × The width of the rectangle, therefore, the figure is not similar to the given rectangle
2) The 3 yd. by 1 yd. figure is a rectangle with the width = 3 × The length of the rectangle, therefore, the figure is similar to the given rectangle
3) The figure is a trapezium, while the given figure is a rectangle, therefore, they are not similar
4) The 6 yd. by 3 yd. figure is a rectangle with the width = 2 × The length of the rectangle, therefore, the figure is not similar to the given rectangle
5) The 6 yd. by 18 yd. figure is a rectangle with the length = 3 × The width of the rectangle, therefore, the figure is similar to the given rectangle
6) The 2 yd. by 8 yd. figure is a rectangle with the length = 4 × The width of the rectangle, therefore, the figure is not similar to the given rectangle
