The diagonals of a trapezoid are only congruent (have the same length) if the trapezoid is an isosceles trapezoid.
Answer:
See explanation
Step-by-step explanation:
If segment AB is tangent to the smaller circle, than AB⊥OR. Consider two right triangles AOR and BOR. In these triangles:
- OR is common leg;
- AO=OB as radii of larger circle;
- ∠ARO=∠BRO, because AB⊥OR.
By HL theorem, ttriangles AOR and BOR are congruent. This gives you that AR=RB.
The answer to your question would be 7y - 12.If you need more information on the steps needed to simplify the expression go to the link provided in the comments.
Hope this answer has helped you. If it has, please help me out by giving this answer brainliest. Thanks.
Have an awesome day.
The volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3
<h3>How to determine the volume </h3>
Using the formula:
Volume = 3abh
Where a = apothem length
b = length of the side of the base
h =height of the prism
Substitute values from the diagram into the formula
Volume = 3 × 5 × 4.3 × 2
Volume = 129 in^3
Volume of the remaining cake
Volume = 3abh
Volume = 3× 5.2 × 4 × 6
Volume = 374. 4 in^3
Thus, the volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3
Learn about volume of a hexagonal prism here:
brainly.com/question/9647193
#SPJ1
