To determine the perimeter, we sum the lengths of all sides.
Looking at the diagram, we find the perimeter is calculated as follows:
P = 11 + (x - 2) + (11 - 3) + [(x - 2) - (x - 11)] + (x - 11)
= 11 + x - 2 + 8 + 9 + x - 11
= 2x + 15.
Final expression: 2x + 15
I believe the answer is D.
Answer:
Triangles would be congruent through ASA if Angle A is equal to Angle T.
Triangles would be congruent via AAS if Angle B matches Angle P.
Step-by-step explanation:
It is established that sides AC and TQ are congruent, along with angles BCA and PQT. If angles A and T are equal, we apply the ASA theorem. Similarly, if angle B equals angle P, we reference the AAS theorem.
Since only two options need to be selected, you can conclude your options there.
In this situation, we start with the following equation: To isolate the value of y, we follow these steps: First, we subtract 6 from both sides of the equation: Second, we take away "y" from each side: Third, we add
to both sides of the equation: Finally, we divide the equation by 4. Thus, y equals 5. Answer: Option C.
Answer:
No
Step-by-step explanation:
According to the Pythagorean Inequality Theorem, the sum of the two shorter sides must exceed the length of the third side.
4+6=10
11 is still greater than 10.
Hence, constructing such a triangle is not feasible.
