Answer:
His collection increased in a 20%.
Step-by-step explanation:
If 100% represents 10 records, what percentage would be for 12 records?
x = 12 100% / 10 = 120%
So, if we subtract 120% - 100%, it's gonna result in a difference of 20%, which means that 12 represents a 20% more, or his collection increased in a 20%.
If two figures are similar, the resulting corresponding angles are always congruent.
Answer:
<em> The distance from your eyes to the stage is 8.85 ft</em>
Step-by-step explanation:
Your distance to the stage is 6 feet
Your eyes are 6.5 feet tall
You need to find the distance of your eyes towards the stage.
This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.
<u>Observe the attached image.</u>
Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.
So, using the Pythagorean theorem we have:

Where

therefore:

Answer:
288
Step-by-step explanation:
2/x = 576
you have to make the x by itself so you would have to multiply 1/2 to 2/x for the first part
then you would carry the 1/2 over to 576 and multiply that by 1/2
the answer would become x = 288