Final answer:
The only statement that can be directly verified from the student's question is statement D, which is true after solving the algebraic equation. Statements A, B, and C cannot be assessed without additional information or a diagram.
Step-by-step explanation:
The student's question seems to involve geometry and equation solving, which are part of high school mathematics curriculum. The symbols and terminology used suggest angles, triangles, and potential vector analysis concepts. Without specific diagrams or additional context, it's challenging to determine the truth value of statements A, B, and C. However, statement D involves an algebraic equation that can be solved for y.
To verify statement D, we can solve the equation 11y + 27 = 90. Subtracting 27 from both sides gives us 11y = 63. Dividing both sides by 11 yields y = 63/11, which simplifies to y = 5.7272.... This is a true statement for that value of y. If the question intended for y to be an integer or a specific value, the provided information is insufficient to affirm the truth of statement D without additional context.
Regarding the other statements, without a diagram or further clarification, we cannot assess their truth value.
True or False Statements
In relation to vectors and angles, the true or false questions involve understanding the properties of vectors, the conditions for using the Pythagorean theorem, and the geometrical relationships of angles in vector addition. The Pythagorean theorem is applicable for right angle triangles or vectors at right angles, and a vector can indeed be represented as a right angle triangle with its x and y components, giving these concepts relevance in both geometry and physics.