If two line crosses, then the vertical angles are the angles opposite each other. In this way, these angles share the same vertex. So, the vertical angles are always equal. Therefore, in this problem, the right answers are:
1. ABE and CBD
Notice that the vertex is B, so these two angles share the same vertex. Accordingly, these two angles are vertical angles.
2. ABC and EBD
The same reasoning is applied here. The vertex is also B. Notice that <em>the angles CBD and ABD add up to 180 degrees. </em>
Given that-
√(0.09×0.09×x) = 0.09×0.09×√z
On squaring both sides then
⇛[√(0.09×0.09×x) ]² = (0.09×0.09×√z)²
⇛ 0.09×0.09×x= (0.09)²×(0.09)²×(√z)²
⇛ (0.09)² × x = (0.09)²×(0.09)²×z
⇛ (0.09)² × x/z = (0.09)²×(0.09)²
⇛x/z = (0.09)²×(0.09)²/(0.09)²
⇛x/z = (0.09)²
⇛x/z = 0.09×0.09
⇛x/z = 0.0081
<u>Answer</u><u>:</u><u>-</u> Hence the value of x/z will be 0.0081 r respectively.
bigger*, to be specific 10 times as big*
*<em>Possible answers are in bold</em>
