Let A and B be the two complementary angles.
A = smaller angle = 2x
B = larger angle = 13x
x = some unknown number
Note how the ratio A:B turns into 2x:13x which simplifies to 2:13
A+B = 90 ... because the angles are complementary
2x+13x = 90 ... substitution
15x = 90
x = 90/15
x = 6
A = 2*x = 2*6 = 12 degrees
B = 13*x = 13*6 = 78 degrees
The two angles are 12 degrees and 78 degrees.
Check:
A/B = 12/78 = (2*6)/(13*6) = 2/13, so A:B = 2:13
A+B = 12+78 = 90
0.
It is impossible for 151 to be selected, as it is outside the range of numbers (1 to 100) that can be selected. Therefore the probability is 0.
<h2>
Answer: (3/2)x - 2</h2>
Step-by-step explanation:
Let the number be x.
"Two less than 3/2 of a number (x)" means (3/2)x - 2
"is no more than" means "≤"
5 1/2
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Answer:

Step-by-step explanation:
We are given that

Differentiate w.r.t x

By using formula







Hence, the derivative of function

Answer:
21 x 3.1 / 2 = 32.55
Step-by-step explanation: