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Mamont248 [21]
3 years ago
5

In the figure below, C is between A and D, and B is the midpoint of AC. If AD=20 and BC=6, find CD.

Mathematics
2 answers:
Leokris [45]3 years ago
8 0

Answer:

8

Step-by-step explanation:

AC and BC are the same, so both equal 6

6+6 is 12

Subtract 12 from 20

20-12=8

CD is 8

Vesna [10]3 years ago
8 0
8 i think, sorry if its wrong:) I can give an explanation if needed!
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The first one is y=6(x-2)^2+4 and the second one is y=-3/2(x+6)^2+4
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3 years ago
A student wants to find the answer to the question “What is the most popular restaurant in Bedford?” He asks 20 randomly selecte
mojhsa [17]

Answer:

The survey results will be inaccurate since the entire sample of the population was eating at the same restaurant.

Step-by-step explanation:

When doing a survey you must make sure it is unbiased by asking a variety of people for example if you are wondering what is the favorite class at school you have to ask a certain amount of people from each class because if you ask only people from P.E the answer more than likely will be P.E or if u ask 3 people from Art and 17 from P.E your answer will properly be P.E. Make sense?

4 0
3 years ago
Read 2 more answers
Can someone please help me with this logarithm equation!!
enot [183]

Answer:

\frac{629}{2}

Step-by-step explanation:

So, our equation is:

log_5(\frac{2x-4}{5})  = 3

In exponetial form, this looks like:

5^3=\frac{2x-4}{5}

Now lets cube the 5:

125=\frac{2x-4}{5}

Next, we can multiply the denominator on the right side by 5:

625=2x-4

We need to now get x alone by adding 4 to both sides:

629=2x

Finally, we divide by x's coefficent, 2, to get:

x=\frac{629}{2}

Hope this helps! :3

6 0
3 years ago
A hotel charges a $10,000 annual fee plus an additional $200 for each night you stay there. What is the average cost per night i
Anton [14]

Answer:

\$400

Step-by-step explanation:

GIVEN: A hotel charges a \$10000 annual fee plus an additional \$200 for each night you stay there.

TO FIND: average cost per night if you stay at the hotel for 50 nights.

SOLUTION:

Annual fee charged by hotel =\$10000

amount charged each night we stay there =\$200

Total number of nights we stay =50

Total amount paid for 50 nights=50\times\$200

                                                   =\$10000

Total amount paid =\text{annual fee}+\text{total amount paid for 50 nights}

                              =\$10000+\$10000

                              =\$20000

average cost per night =\frac{\text{total amount paid}}{\text{total number of nights of stay}}

putting values,

average cost per night =\frac{20000}{50}

                                      =\$400

Hence average cost per night if we stay at hotel for 50 days is \$400

6 0
3 years ago
Can anyone help me solve this
kumpel [21]

Answer:

The answer to your question is a = 40, b = 5/8

Step-by-step explanation:

Data

  ab = 25

  log₄a - log₄b = 3

Process

1.- Use the law log of a quotient

               log₄ a/b = 3

2.- Convert the log to an exponent

                   a/b = 4³

                   a/b = 64      Equation l

                    ab = 25       Equation ll

3.- Solve equation l for a

                  a = 64b

4.- Substitute in equation ll

                   (64b)b = 25

-Simplify

                    64b² = 25

-Solve for b

                         b² = 25/64

                         b = 5/8

5.- Substitute the value of b to find a

                     a = 64(5/8)

-Simplification

                     a = 40                        

4 0
3 years ago
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