If two triangles are congruent, which of the following statements must be true? Check all that apply.
2 answers:
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Answer:
18¾ ft × 15 ft
Step-by-step explanation:
The dimensions of the billboard are 25 ft by 15 ft.
The dimensions of the image are 5 ft by 4 ft
Case 1.<em> Expand the length of the image to 25 ft. </em>
We have multiplied the length by five, so we must multiply the width by five.
w = 5 × 4 = 20 ft. That's too big. The image will overflow the billboard
by 5 ft.
<em>Case 2. </em><em>Expand the width of the image to 15 ft. </em>
We have multiplied the width by 15/4, so we must multiply the length by 15/4.
l = 15/4 × 5 = 75/4 = . That will fit, with 6¼ ft left over.
The expanded image will be 18¾ ft × 15 ft.
In the image below, the big rectangle represents the billboard, and the red rectangle represents the original image.
The pink rectangle represents the dilation of the original image to a width of 15 ft.
Answer:
1. 1.5 inches per minute
2. 90 inches per hour
Step-by-step explanation:
speed =
1. total distance covered = +
=
=
= 4 inches
Total time taken = +
=
=
= 3 minutes
The ants average speed =
= 1
= 1.5
The ants speed is 1 inches per minute.
2. Since;
60 minutes = 1 hour
3 minutes = x hours
x =
=
= 0.05 hours
Speed =
= 90 inches per hour
The red ants speed is 90 inches per hour.