25 * 5 = 25 + 25 + 25 + 25 + 25 = 175
Answer:
If you want to draw a perpendicular line from a point on a line, you would measure a 90 degree angle from that point and then draw the line outward.
Explanation
On the other hand, if you wanted to draw a perpendicular line connecting a line and a point off of the line, you would have to connect the point to the location on the line that forms a 90 degree angle.
Both methods involve making a 90 degree angle between two lines. Can you think of any other similarities?
If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:
z = 0.25x + 0.10(2x)
Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:
1.2 + z = 0.25(2x) + 0.10(x)
Plug in the values you know:
1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)
Solve for x:
1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
1.2 + 0.45x = 0.60x
1.2 = 0.15x
x = 1.2/0.15 = 8
This means that there are 8 Quarters in her bag right now. So, the amount of dimes is just 2x which is 16. So your answer will be:
She has 8 Quarters and 16 Dimes in her bag right now. Or, $3.60.
If this doesn't make sense, then tell me. I have some resources where I got the answer from to put it into simplest terms. I have the website if you want.
Answer:
Step-by-step explanation:
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