Answer:
See explanation
Step-by-step explanation:
Consider triangles ACM and BCM. In these triangles,
- given;
- definition of perpendicular lines CM and AB;
- reflexive property.
So,
by ASA postulate (if one side and two angles adjacent to this side of one triangle are congruent to one side and two angles adjacent to this side of another triangle, then two triangles are congruent).
Two-column proof:
Statement Reason
1.
Given
2.
Given
3.
Definition of perpendicular lines CM and AB
4.
Reflexive property
5.
ASA postulate
Option B) Determine the volume of the cake V= πr²h and divide that amount by 18
<u>Step-by-step explanation:</u>
- It is given that, the birthday cake is in the shape of the cylinder.
- Therefore, to find the entire volume of the cake, the volume of the cylinder formula is used.
<u>The volume of the cylinder is given by,</u>
Volume of the birthday cake = πr²h
After that, it was asked to find the volume of each piece of the cake.
In this case, the birthday cake is cut into 18 pieces.
We already know the total volume of the birthday cake which is πr²h.
In order to find the volume of each piece of cut cake, the total volume must be divided by the number of parts it has been cut into pieces.
Here, the whole part of the cake is 1.
The number of parts it has been divided after it is made into pieces = 18 parts.
Therefore, the volume of the birthday cake must be divided by 18 to get the volume of each piece of cake.
Option B) Determine the volume of the cake V= πr²h and divide that amount by 18 is correct.
These are the two equation
10-2
13-5
Answer:
64
Step-by-step explanation: