<h2>Part a)</h2>
You can name planes by one letter or using three points belonging to it that are <u>not</u> on the same line.
Another name for plane X could be:
- Plane ABF, Plane BCF or Plane ACF. You may also get different names by reordering the three letters.
<h2>Part b)</h2>
Coplanar means 'on the same plane'.
The points on the same plane as point A are:
<h2>Part c)</h2>
Collinear means 'on the same line'.
Other points on the same line as point C are:
<h2>Part d)</h2>
The line that intersects ED is:
- AC, it can be also named AB or BC.
Answer:
a. x = 5, m∠FGH = 22°
b. m∠HGI = 22°
c. m∠FGI = 44°
Step-by-step explanation:
Since GH bisects FGI this means it divides the angle in two equal parts.
a. solving for x means equating them:
5x-3 = 6x-8 =>
5x - 6x = 3 - 8 =>
x = 5.
Both m∠FGH and m∠HGI are 5*5-3 = 22°
c. Add both angles: m∠FGH + m∠HGI = 44°
![\bf \sqrt{n}< \sqrt{2n+5}\implies \stackrel{\textit{squaring both sides}}{n< 2n+5}\implies 0\leqslant 2n - n + 5 \\\\\\ 0 < n+5\implies \boxed{-5 < n} \\\\\\ \stackrel{-5\leqslant n < 2}{\boxed{-5}\rule[0.35em]{10em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}2}](https://tex.z-dn.net/?f=%5Cbf%20%5Csqrt%7Bn%7D%3C%20%5Csqrt%7B2n%2B5%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bsquaring%20both%20sides%7D%7D%7Bn%3C%202n%2B5%7D%5Cimplies%200%5Cleqslant%202n%20-%20n%20%2B%205%20%5C%5C%5C%5C%5C%5C%200%20%3C%20n%2B5%5Cimplies%20%5Cboxed%7B-5%20%3C%20n%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B-5%5Cleqslant%20n%20%3C%202%7D%7B%5Cboxed%7B-5%7D%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D0%5Crule%5B0.35em%5D%7B3em%7D%7B0.25pt%7D2%7D)
namely, -5, -4, -3, -2, -1, 0, 1. Excluding "2" because n < 2.
34 is your answer hope it helps
