One triangle on a graph has a vertical side of 5 and a horizontal side of 11. Another triangle on a graph has a vertical side of
15 and a horizontal side of 33.
Could the hypotenuses of these two triangles lie along the same line?
Could the hypotenuses of these two triangles lie along the same line?
1 answer:
Answer:
Yes.
Step-by-step explanation:
The two triangles are <em>similar</em> because they have:
- a common angle (90°)
- corresponding sides with lengths in a 3:1 ratio
All you need to do is to slide the smaller triangle into the larger one so that a small angle and one of its sides coincide.
Then the hypotenuses of each triangle will lie along the same line.
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Answer:
18 pints
Step-by-step explanation:
As we can see, three pint of yellow paint was mixed with four pint of red paint. Let x represent the number of yellow paint and let y represent the number of red paint. Therefore, the ratio of the two paints is:
x/y = 3/4
x = (3/4)y
To calculate the number of red paints (x) that is needed to be mixed with 24 pints of yellow paint, we use the equation and substitute y as 24. Hence:
x = (3/4)y
x = (3/4) * 24
x = 18 pints
