The simplest form of -1/3 + 1/9 is -2/9
Simplest form can be described as when the number both the numerator and denominator have been reduced to it's lowest form
The first step is to write out the fractions
-1/3 + 1/9
= -2/9
Hence the simplest form is -2/9
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Quotient means the answer of diving two numbers.
We can write the equation as: n/5 - 10 = 3
~Add 10 to both sides
n/5 - 10 + 10 = 3 + 10
n/5 = 13
1/5n = 13
1/5n * 5 = 13 *
n = 65
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The answer to how many batches is 9, hope this helped.
Answer:
756.36 meters
Step-by-step explanation:
Draw a diagram. Let's call the horizontal distance from the top of the mountain to the closest point x.
Using tangent = opposite / adjacent, we can write two equations:
tan 35.3° = h / x
tan 25.76° = h / (x + 500)
Solve for x in the first equation and substitute into the second.
x = h / tan 35.3°
tan 25.76° = h / ((h / tan 35.3°) + 500)
Solve for h.
tan 25.76° (h / tan 35.3°) + 500 tan 25.76° = h
500 tan 25.76° = h (1 − (tan 25.76° / tan 35.3°))
500 tan 25.76° tan 35.3° = h (tan 35.3° − tan 25.76°)
h = 500 tan 25.76° tan 35.3° / (tan 35.3° − tan 25.76°)
h ≈ 756.36 meters
True “If the measures of 2 sides of a triangle are proportional to the measures of 2 corresponding sides of another triangle and the angles between them are congruent, then the triangles are congruent”?