X =26 I know it’s not on the but that’s the right answer
The correct answer for this statement would be TRUE. Yes, it is true that a pair of obtuse angles can also be vertical angles, given the condition that, if you add them, but they cannot be vertical angles by themselves. Hope this answers your question.
The expression is simplified to 10x² + 48x + 3 =0
<h3>How to determine the value</h3>
Given the expression as;
![5^(^4^x^+^1^)^(^x^+^2^) + 4. 5^x^(^x^+^1^5^) = 5^-^2^x^2+^2^1^x^-^1](https://tex.z-dn.net/?f=5%5E%28%5E4%5Ex%5E%2B%5E1%5E%29%5E%28%5Ex%5E%2B%5E2%5E%29%20%2B%204.%205%5Ex%5E%28%5Ex%5E%2B%5E1%5E5%5E%29%20%3D%205%5E-%5E2%5Ex%5E2%2B%5E2%5E1%5Ex%5E-%5E1)
We take the numerators have the same base, then we have;
(4x+1)(x+2) + 4(x(x+ 15) = -2x² + 21x - 1
expand the bracket
4x² + 8x + x + 2 + 4(x² + 15x) = -2x² + 21x - 1
4x² + 8x + x + 2 + 4x² + 60x = -2x² + 21x - 1
collect like terms
4x² + 4x² + 2x² + 8x + x + 60x - 21x = - 1 - 2
Add or subtract like terms
10x² + 48x = -3
Make into a quadratic equation
10x² + 48x + 3 =0
Thus, the expression is simplified to 10x² + 48x + 3 =0
Learn more about algebraic expressions here:
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Answer:
2n+10 <em>and</em><em> </em>2(n+5)
Step-by-step explanation:
![2n + 10 \\ 2(8) + 10 = 26 \\ and \\ 2(n + 5) \\ = 2(8 + 5) \\ = 2(13) = 26 \\ \: hence \\ 2n + 10 = 2(n + 5) = 26](https://tex.z-dn.net/?f=2n%20%2B%2010%20%5C%5C%202%288%29%20%2B%2010%20%3D%2026%20%5C%5C%20and%20%5C%5C%202%28n%20%2B%205%29%20%5C%5C%20%20%3D%202%288%20%2B%205%29%20%5C%5C%20%20%3D%202%2813%29%20%3D%2026%20%5C%5C%20%5C%3A%20hence%20%5C%5C%202n%20%2B%2010%20%3D%202%28n%20%2B%205%29%20%3D%2026)
Answer:
26.96 inches of fabrics per person
Step-by-step explanation:
Headband
Number of players = 32
Number of coaches = 2
Total people = 32 + 2 = 34
Total fabrics used for headband = 623.22 inches
Fabrics per person = Total fabrics used for headband / Total people
= 623.22/34
= 18.33 inches per person
Wristband
Number of players = 32
Total fabrics used for wristband = 276.16 inches
Fabrics per person = Total fabrics used for wristband / Number of players
= 276.16 / 32
= 8.63 inches per person
Total fabrics used for headband and wristband for each player = 18.33 inches + 8.63 inches
= 26.96 inches of fabrics per person