Given that (3/5) and (5/3) are real numbers, using closure property of multiplication which states that the product of any two real numbers is a real number, then:
3/5*5/3=1
hence we conclude that 1 s a real number.
Answer:
1. 37.5
2. 8
Step-by-step explanation:
1. the smaller triangle and the bigger triangle are similar, so the sides are also similar.
this means that 16/46 = 20/(x+20)
then, just solve that for x
16/46 = 20/(x+20)
divide both sides by 4
4/46 = 5/(x+20)
multiply both sides by (x + 20)
(x+20) * 4/46 = 5
multiply both sides by 46
4x + 80 = 230
subtract 80
4x = 150
divide 4
x = 37.5
2. do the same thing ( still similar triangles)
the equation would be (3x + 1)/10 = (7x - 1)/22
solve
22(3x + 1) = 10(7x - 1)
66x + 22 = 70x - 10
32 = 4x
x = 8
The balloon's vertical distance above the ground is 430 feet.
<h3>What is the angle of depression?</h3>
You look straight parallel to the ground. But when you have to watch something down, then you take your sight down by moving your head up.
The angle from horizontal to the point where you stopped your head is called the angle of depression.
From a hot-air balloon, Brody measures a 39° angle of depression to a landmark that's 532 feet away, measuring horizontally.
The angle of depression = 39°
The base = 532
We need to find the vertical distance consider perpendicular.

Therefore, the balloon's vertical distance above the ground is 430.80 feet.
Learn more about the angle of depression here;
brainly.com/question/23931413
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Answer:
Order of rotation is the number of times you can rotate the geometric figure so that it looks exactly the same as the original figure.
Step-by-step explanation:
We have the counter and the clockwise rotation where counter you move back in in 90 degrees and clockwise you move forward