Answer:
Step-by-step explanation:
As the two figure are the image and pre-image of a dilation.
Considering the left sided triangle is original and right sided triangle ( smaller one) is the image.
As one of the sides of the left triangle (original figure) is 4 in. And the corresponding length of the side on the right triangle (image of the figure) is 2 in.
It means the image of the side (2 in) is obtained when the side (4 in) of the original object is dilated by a scale factor of 1/2. In other words, the side of the image (2 in) is obtained multiplying the side (4 in) of original figure by 1/2. i.e. 4/2 = 2 in
Lets determine the missing side of the right side triangle by the same rule.
As the original object has one of the sides is 5 in and the corresponding side of the image has x in. As the original figure is dilated by a scale factor of 1/2. so the missing side of x will be: x = 5/2 = 2.5
So, the value of x will be 2.5
Similarly, the original object has one of the sides with length (y + 1 in). As the As the original figure is dilated by a scale factor of 1/2. As the corresponding length of the side of the image triangle is 3 in.
so
y + 1 = 2(3) ∵ 3 in (image side) is multiplied by 2
y + 1 = 6
y = 6 - 1
y = 5
So, the value of y = 5
Therefore,
Answer: the current of the river is 3 mph.
Step-by-step explanation:
Let x represent the current of the river.
The boat travels 2.4 miles downstream. Assuming it travelled with the current of the river. If the boat travels at an average speed of 21 miles per hour in the still water, it means that the total speed at which the boat travelled downstream is
(21 + x) mph
Time = distance/speed
Time taken to travel downstream is
2.4/(21 + x)
it travels 1.8 miles upstream. Assuming it travelled against the current of the river. it means that the total speed at which the boat travelled upstream is
(21 - x) mph
Time taken to travel upstream is
1.8/(21 - x)
Since the time taken to travel upstream and downstream is the same, then
2.4/(21 + x) = 1.8/(21 - x)
Cross multiplying, it becomes
2.4(21 - x) = 1.8(21 + x)
50.4 - 2.4x = 37.8 + 1.8x
2.4x + 1.8x = 50.4 - 37.8
4.2x = 12.6
x = 12.6/4.2
x = 3 mph
Z = x-y(3r)/y
z = x-y * 3r/y
Final answer: x = yz + 3yr
Each foot of the patio would be 49 feet because a square has four equal side lengths and 196/4=49. now don't put you'll whole faith in me, this is a good guess.
Answer:
x=-4
Step-by-step explanation:
hope it helps!
