Answer:
The speed of sound is 
Step-by-step explanation:
Let
x-----> the speed of sound
we know that

so

solve for x

I think that first you need to understand what CPCTC is used for.
Let's start with the definition of congruent triangles.
Definition of congruent triangles
Two triangles are congruent if each side of one triangle is congruent to a corresponding side of the other triangle and each angle of one triangle is congruent to a corresponding angle of the other triangle.
A definition works two ways.
1) If you are told the sides and angles of one triangle are congruent to the corresponding sides and angle of a second triangle, then you can conclude the triangles are congruent.
2) If you are told the triangles are congruent, then you can conclude 6 statements of congruence, 3 for sides and 3 for angles.
Now let's see what CPCTC is and how it works.
CPCTC stands for "corresponding parts of congruent triangles are congruent."
The way it works is this. You can prove triangles congruent by knowing fewer that 6 statements of congruence. You can use ASA, SAS, AAS, SSS, etc. Once you prove two triangles congruent, then by the definition of congruent triangles, there are 6 congruent statements. That is where CPCTC comes in. Once you prove the triangles congruent, then you can conclude two corresponding sides or two corresponding angles are congruent by CPCTC. These two corresponding parts were not involved in proving the triangles congruent.
Problem 1.
Statements Reasons
1. Seg. AD perp. seg. BC 1. Given
2. <ADB & <ADC are right angles 2. Def. of perp. lines
3. <ADB is congr. <ADC 3. All right angles are congruent
4. Seg. BD is congr. seg CD 4. Given
5. Seg. AD is congr. seg. AD 5. Congruence of segments is reflexive
6. Tr. ABD is congr. tr. ACD 6. SAS
7. Seg. AB is congr. seg. AC 7. CPCTC
The volume of the prism is 1782
To find volume use base times height
To find base, use the triangle's area
The area of the triangle is 1/2(8×19) = 162
162 is the base amd the height is 11 so do 11 times 162
You should get 1782 as your answer
Answer:
The probability of selecting 5 both times is 0.002.
Step-by-step explanation:
We are given that you randomly select an integer from 0 to 19 (inclusively) and then randomly select an integer from 0 to 24 (inclusively).
And we have to find the probability of selecting 5 both times.
As we know that the probability of an event is given by;
Probability = 
Now, here between integer from 0 to 19 (inclusively);
Number of times 5 comes = 1
Total number of integers = 20
Similarly, between integer from 0 to 24 (inclusively);
Number of times 5 comes = 1
Total number of integers = 25
So, the required probability = 
=
= 0.002
Hence, the probability of selecting 5 both times is 0.002.