I think the correct answer from the choices listed above is option C. The <span>sum of the measures of the interior angles formed by the boundary of this team pennant should be 180 degrees since all triangles has a sum of interior angles which is 180 degrees. Hope this answers the question.</span>
Answer: (7n - 2)² = 249
Explanation:
1) Given expression: 7n² - 4n - 14 = 21
2) Transpose - 14 =>
7n² - 4n = 21 + 14
3) Combine like terms =>
7n² - 4n = 35
4) multiply both terms by 7 =>
(7n)² - 4(7n) = 35×7
5) form the squared binomial:
(7n - 2)² - 4 = 35×7
6) Transpose - 4 =>
(7n - 2)² = 35×7 + 4
7) Do the operations on the right side:
(7n - 2)² = 249 or (7n - 2)² - 249 = 0
8) Verify the equivalence by expanding the binomial:
(7n)² - 2(7n) + 4 - 249 = 0
(7n)² - 14n - 245 = 0
Divide by 7: 7n² - 2n - 35 = 0 or 7n² - 2n = 35, which is equivalent to the given expression.
Answer:
Step-by-step explanation:
![(\sqrt{3} +4)(1+\sqrt{3})\\\\= \sqrt{3}(1+\sqrt{3} )+4(1+\sqrt{3})\\\\= \sqrt{3} + (\sqrt{3} )^2 + 4 + 4\sqrt{3} \\\\= \sqrt{3} + 3+4+4\sqrt{3} \\\\= 7 + \sqrt{3} + 4\sqrt{3} \\\\Take \ \sqrt{3} \ common\\\\= 7 + \sqrt{3} (1+4)\\\\= 7 + \sqrt{3}(5)\\\\= 7 + 5\sqrt{3} \\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7B3%7D%20%2B4%29%281%2B%5Csqrt%7B3%7D%29%5C%5C%5C%5C%3D%20%5Csqrt%7B3%7D%281%2B%5Csqrt%7B3%7D%20%29%2B4%281%2B%5Csqrt%7B3%7D%29%5C%5C%5C%5C%3D%20%5Csqrt%7B3%7D%20%2B%20%28%5Csqrt%7B3%7D%20%29%5E2%20%2B%204%20%2B%204%5Csqrt%7B3%7D%20%5C%5C%5C%5C%3D%20%5Csqrt%7B3%7D%20%2B%203%2B4%2B4%5Csqrt%7B3%7D%20%20%5C%5C%5C%5C%3D%207%20%2B%20%5Csqrt%7B3%7D%20%20%2B%204%5Csqrt%7B3%7D%20%5C%5C%5C%5CTake%20%5C%20%5Csqrt%7B3%7D%20%5C%20common%5C%5C%5C%5C%3D%207%20%2B%20%5Csqrt%7B3%7D%20%281%2B4%29%5C%5C%5C%5C%3D%207%20%2B%20%5Csqrt%7B3%7D%285%29%5C%5C%5C%5C%3D%207%20%2B%205%5Csqrt%7B3%7D%20%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Complete Question
The complete question is shown on the first and second uploaded image
Answer:
a
b
c
Step-by-step explanation:
Now looking at the diagram
Following the direction of the unit vectors 
=>
And
jjj
=>
Also
=>
