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Norma-Jean [14]
3 years ago
10

Given: triangle ABC, D is on AC, m

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
8 0

Answer:

Step-by-step explanation:

B

slavikrds [6]3 years ago
3 0
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If the five digit number aa448 is divisible by 9, what digit does a represent?
kaheart [24]

Answer:

a represent 1

and number is 11448.

Step-by-step explanation:

We know that a number is divisible by 9 if the sum of its digit is divisible by 9.

Given number aa448

sum of 4+4+8 = 16

number divisible by 9, 18 , 27,36

as we see sum of 448 is 16 , hence sum of a+a+4+4+8 should be  number divisible by 9 and greater than 16 which is 18, 27,36

Let see of if sum of digits of aa448 is divisible by  18

a+a+4+4+8 = 18

2a + 16 = 18

2a = 18-16 = 2

a =2/2 = 1

Thus, number will be 11448

________________________________________

Let see of if sum of digits of aa448 is divisible by  27

a+a+4+4+8 = 27

2a  = 27 - 16

2a = 11 = 2

a =11/2 = 5.5

as digit cannot be fraction of decimal, it can take value from 1 to 9 hence

sum of digits of aa448 is not divisible by  27

______________________________________________

Let see of if sum of digits of aa448 is divisible by  36

a+a+4+4+8 = 36

2a + 16 = 36

2a = 36-16 = 20

a =20/2 = 10

as digit can take value from 1 to 9 hence sum of digits of aa448 cannot  be divisible by  36 or any higher number than 36 which is divisible by 9.

Thus , a represent 1

and number is 11448.

5 0
4 years ago
What is the implied service rate per service counter employee at an airport automobile rental counter if customer demand is 36 c
mart [117]

Answer:

24 customers per hour

Step-by-step explanation:

The service rate is given by the demand of customers per hour per employee divided by the labor utilization.

If there are two service counter employees on duty, the demand of customers per hour per employee is:

D=\frac{36}{2}=18\ customers/hour

Assuming a 75% labor utilization, the service rate is:

S =\frac{18}{0.75}=24\ customers/ hour

8 0
3 years ago
i have a problem im struggling with it says. is 6 a solution to the equation x2 - 4=5x explain why or why not?
Eddi Din [679]

Answer:

No, 6 is not a solution to the equation x2-4=5x

Step-by-step explanation:

6(2)-4=5(6)

12-4=30

8=30

The question is basically asking if you replace x with 6, will the equation equal each other on both sides, for example 6=6 or 3.5=3 1/2. In this case the equation gives us 8=30 which means 6 would not be a solution since both sides aren't equal to one another, 30 is bigger than 8.

6 0
3 years ago
Where might you see the double of 5 in real life
ira [324]

Answer:

Your eyes: 1+1, Legs of a dog: 2+2, Your fingers: 5+5, Etc.

Step-by-step explanation:

4 0
3 years ago
Madison and her sister received the same amount of money to go out to eat. each girl spent $13. after lunch, the girls had a tot
Rus_ich [418]
Each girl started with 15 dollars.

4$ is the ending amount
x= the amount of money each girl received
4= 2x - 2(13)        

Since there were two girls who both received x amount of money, x is multiplied by two. Since both the girls spent 13 dolars on lunch, their original amount is subtracted by 13 times two, since there are two lunches being bought. The end amount of money is four.
to solve:
4= 2x - 2(13)
4= 2x - 26       Simplify by combining like terms
30= 2x             Isolate the variable by adding 26 to both sides
15=x                Continue to isolate the variable by dividing both sides by two
Each girl started with 15 dolars. Each girl spent thirteen dolars on lunch and had two dolars left over. Each girls' two dolars left over adds up to four dollars.
4 0
3 years ago
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