Answer: 24, 24, 47
<u>Step-by-step explanation:</u>
In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations.
a + b > c & a + c > b & b + c > a
23 + 28 = 51 which is NOT greater than 55
15 + 30 = 45 which is NOT greater than 45
8 + 17 = 25 which is NOT greater than 25
24 + 24 > 47 & 24 + 47 > 24 & 24 + 24 > 27
all combinations are true so these side lengths can form a triangle
Directly proportional, both increase/decrease, Multiple k(constant you needed to solve for)..
Inversely --one increases as the other decreases, increase the denominator & fraction gets smaller.... So
Problem:
Dirextly to X (× by X)
Inversely to Y, (÷ by Y)
Z= k X/Y
Solve, working backwards: Z =5 becomes
5 = k (X) ÷ (Y). And
X=15 and Y =9 becomes
5= k(15)/(9). Undo ÷9, ×9 both sides
45= k(15). Now undo ×15 by ÷15 both sides
45/15 = 3. So k=3, (also called your constant of variation)....and your Equation/Proportion becomes...
Z = 3X/Y
Use the new #s.... X=23, Y=14
Z= 3×23÷14 = 69/14. If they want spirochete answer divide and round to corresponding # if decimals
The critical value of r is mathematically given as r = +0.487, with no significant linear correlation. Option A.
<h3>What are the critical values of r?</h3>
Question Parameters
r = -0.868
n = 5
df = 5 - 2
df = 3
Critical values 
Generally, there exists no linear correlation between the Critical values
as r=0.878
In conclusion, Critical values: r = +0.487, no significant linear correlation
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Answer:
25
Step-by-step explanation:
2x+2+5x+3=180 (angles on a straight line)
7x+5=180
7x=180-5
7x=175
x=25 (dividing both sides by 7)
