Answer:
Step-by-step explanation:
To start calculating, we first need to make some proof.
Firstly, since AB = AC, we know that ΔABC is isosceles, which means that ∠ABC = ∠ACB.
Now, looking only to ΔBDE and ΔCDF, we can see that they are similar, because the two of its angles are congruent:
∠BED=∠CFD
∠DBE=∠DCF
To make it easier to visualize which are the corresponding vertexes, we can draw them like this:
And we need to remember that BC is 24, so:
BD+CD=24
Since the triangles are similar, their corresponding sides have constant ratio, which we can calculate from the corresponding sides DE and CF:

This ratio is the same for the other corresponding sides, so we can apply that for BD and CD:

Thus, the measure of CF is approximately 13, alternative D.
Answer:
27525.4902
Step-by-step explanation:
First need to add the total number of employees:
14+11+17+3+5+1=51
Now multiply the salary for each number of employees then add to have the total:
14x21000+11x22800+17x24800+3x32200+5x38500+1x148300= 1403800
Now to obtain the mean value just divide the total salary by the total number of employees:
1403800/51= 27525.4902
the mean salary is $27,525.49
Answer:
for A=
and for B=
Step-by-step explanation:
For A





For B







Answer:
Mia has 0.001 dollars after her donation.
Step-by-step explanation:
The maximum amount of money, Mia got from her mom is 20 dollars.
Money donated by Mia is 19.999 dollars.
So, the remaining amount of money:
dollars
Hence, Mia has 0.001 dollars after her donation.
en el número 880, los dos ochos representan 800 y 80