Since and by inscribed angle theorem,
By transitivity,
This follows from the converse of the theorem that angles subtended on a circle by a chord of fixed length are equal. Here, chord $PQ$ of the circle passing through $PQXY$ subtends equal angles at points $X$ and $Y$ on the circle.
Answer:
Cone, Triangular Pyramid, and Square Pyramid
Step-by-step explanation:
The condition in the question says, two cross sections are the same in shape but are NOT congruent. Which means they might look alike but are not congruent.
If we consider two cross sections of a cylinder, they will be absolutely congruent since they share the same radius.
If we consider two cross sections of a triangular prism and rectangular prism they both have uniform dimension and the two cross sections will be congruent to each other.
But in the case of a cone, triangular pyramid, and square pyramid the cross sections might appear the same but they are not congruent since the dimension varies uniformly from one end to the other. For example, if we cut the cone at the top the radius of the base will not be the same if we cut it from some lower end, they will look the same but they will not be congruent.
Answer:
Gain: (Decrease)
Loss:
(Increase)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use the distributive property to get rid of the brackets.
9i + 2*7 + 2*3i Use the multiplication property to simplify the imaginary terms
9i + 2*3i + 2*7 Do the same to the real term
9i + 6i + 14 Use the addition of like terms property
15i + 14 And that's your answer.
You may not like my terminology, but you have to remember that every text teaches this differently.