Answer:
a. ∠D'A'B'
Step-by-step explanation:
From the graph it is clear that the transformation doesn't affect the size and shape of the figure ABCD.
Only the coordinates of the points are changed with the length of each side remaining the same.
Hence the corresponding angle values will also remain unaltered.
∴ ∠DAB = ∠D'A'B'
Answer: she would catch up with Tom in 1 hour.
Step-by-step explanation:
Let t represent the time it will take for Mary to catch up with Tom.
Tom leaves his boat from a dock and travels at a rate of 25 miles per hour.
Distance = speed × time
Distance travelled by Tom in t hours is
25 × t = 25t
Ten minutes later, Mary leaves the same dock in her speedboat and heads after Tom. Converting 10 minutes to hours, it becomes 10/60 hour
Time spent by Mary is (t - 10/60) hours. If she travels at a rate of 30 miles per hour, it means that the distance that she would travel in
(t - 10/60) hours is
30(t - 10/60)
= 30t - 5
By the time she catches up with Tom, they would have covered the same distance. It means that
25t = 30t - 5
30t - 25t = 5
5t = 5
t = 5/5 = 1 hour
Answer:
The area of the shape is 89m²
Step-by-step explanation:
You need to subtract the area of the empty triangle from the area of the rectangle.
The rectangle's area is 13m × 8m = 104m²
The triangle's area is (6m × (13 - 8)m) / 2 = (6 × 5) / 2 m² = 15m²
Subtract the triangle's area from the rectangle:
104m² - 15m²
= 89m²
