Answer:
23 buses
Step-by-step explanation:
It comes to 22.3636364 so you need to round up.
Answer:
BG = 3
GE = 6
Step-by-step explanation:
The ratio of lengths on BE is 2:1 and all centroid crossing median lines.
9 if broken in a 2:1 ratio is 6:3
BG is the shorter one (from centroid to midpoint on the line) so its 3
GE is the longer one (centroid to vertex) so its 6
Answer:
Step-by-step explanation:
![(a^2-1)x^2+(a-1)x+a^2-4a+3=0\\\\Calculate\ and\ identify\ the\ polynomials\\\\\Longleftrightarrow\ a^2x^2-x^2+ax-x+a^2-4a+3=0\\\\\Longleftrightarrow\ a^2x^2+ax+a^2-4a+3=x^2+x+0\\\\\Longleftrightarrow\ \left\{\begin{array}{ccc}a^2&=&1\\a&=&1\\a^2-4a+3&=&0\\\end{array} \right.\\\\\Longleftrightarrow\ \left\{\begin{array}{ccc}(a-1)(a+1)&=&0\\a-1&=&0\\(a-1)(a-3)&=&0\\\end{array} \right.\\\\\\We\ must\ exclude\ a=-1\ and\ a=3\ (not\ solution)\\\Longrightarrow\ a=1\\](https://tex.z-dn.net/?f=%28a%5E2-1%29x%5E2%2B%28a-1%29x%2Ba%5E2-4a%2B3%3D0%5C%5C%5C%5CCalculate%5C%20and%5C%20identify%5C%20the%5C%20polynomials%5C%5C%5C%5C%5CLongleftrightarrow%5C%20a%5E2x%5E2-x%5E2%2Bax-x%2Ba%5E2-4a%2B3%3D0%5C%5C%5C%5C%5CLongleftrightarrow%5C%20a%5E2x%5E2%2Bax%2Ba%5E2-4a%2B3%3Dx%5E2%2Bx%2B0%5C%5C%5C%5C%5CLongleftrightarrow%5C%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Da%5E2%26%3D%261%5C%5Ca%26%3D%261%5C%5Ca%5E2-4a%2B3%26%3D%260%5C%5C%5Cend%7Barray%7D%20%5Cright.%5C%5C%5C%5C%5CLongleftrightarrow%5C%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D%28a-1%29%28a%2B1%29%26%3D%260%5C%5Ca-1%26%3D%260%5C%5C%28a-1%29%28a-3%29%26%3D%260%5C%5C%5Cend%7Barray%7D%20%5Cright.%5C%5C%5C%5C%5C%5CWe%5C%20must%5C%20exclude%5C%20a%3D-1%5C%20and%5C%20a%3D3%5C%20%28not%5C%20solution%29%5C%5C%5CLongrightarrow%5C%20a%3D1%5C%5C)
Answer:
Z = 60°
Step-by-step explanation:
Since, given triangles are similar. Corresponding angles of similar triangles are congruent.
Therefore,
Z = 180° - (65° + 55°)
Z = 180° - 120°
Z = 60°