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3 years ago

What is the value of x? round the answer to the nearest tenth. the diagram is not drawn to scale.

Mathematics

2 answers:

Zepler [3.9K]3 years ago

8 0

It would also be 60°
B

notka56 [123]3 years ago

3 0

Answer:

60°

Step-by-step explanation:

We are given that DC = AB

PD, PC, AP and PB are the radius of circle.

In ΔAPB and ΔCPD

AP=CP (Radius of circle)

PB=PD (radius of circle)

DC=AB(Given)

So, By SSS property of congruence

ΔAPB≅ ΔCPD

Now we are given that ∠DPC = 60°

∠BPA=x

So, ∠DPC=∠BPA (ΔAPB≅ ΔCPD)

∠DPC=∠BPA =x= 60°

Thus the value of x is 60°

Hence Option B is correct.

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What is 92.5% of 200

tester [92]

Answer:

185

Step-by-step explanation:

All you have to do is multiply 200 by 92.5/100 (because it is 92.5%). This gives you 185.

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3 years ago

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a home improvement store rents it’s delivery truck for $19 for the first 75 minutes and $4.75 for each additional 1/4 hour. if a

Crank

Answer: $42.75

Step-by-step explanation:

Given: A home improvement store rents it’s delivery truck for $19 for the first 75 minutes and $4.75 for each additional 1/4 hour.

Since, 1 hour = 60 minutes

1/4 hour = $\frac{60}{4}=15\ minutes$

If a customer rented the truck at 11:10 am and returned the truck at 1:40 pm the same day, what would his rental cost be

Time taken = 150 minutes

Since charge for first 75 minutes is fixed and charge of $4.75 for each additional 1/4 hour (15 minutes) is given by

The additional charge = $\frac{(150-75)}{15}\times4.75=23.75/tex]The total his rental cost =[tex]19+23.75=$42.75$

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3 years ago

What advantages does the graphing calculator have when it comes to finding the solution to a system of linear equations? Explain

Mashcka [7]

For this case you have the following advantages:

1) you can see the graph of both equations

2) you can see where the equations intersect

3) the point of intersection represents the solution to the system of equations.

4) You can solve the problem in much less time than doing it by hand

5) You can find very accurate solutions.

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3 years ago

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Consider all 5 letter "words" made from the full English alphabet. (a) How many of these words are there total? (b) How many of

VARVARA [1.3K]

Answer:

a) There are 11,881,336 of these words in total.

b) There are 7,893,600 of these words with no repeated letters.

c) 896,376 of these words start with an a or end with a z or both

Step-by-step explanation:

Our words have the following format:

L1 - L2 - L3 - L4 - L5

In which L1 is the first letter, L2 the second letter, etc...

There are 26 letters in the English alphabet.

(a) How many of these words are there total?

Each of L1, L2, L3, L4 and L5 have 26 possible options.

So there are $26^{5} = 11,881,336$ of these words total

(b) How many of these words contain no repeated letters?

The first letter can be any of them, so L1 = 26.

At the second letter, the first one cannot be repeated, so L2 = L1 - 1 = 25.

At the third letter, nor the first nor the second one can be repeated, so L3 = L1 - 2 = 24

This logic applies until L5

So we have

26-25-24-23-22

In total there are

$26*25*24*23*22 = 7,893,600$

of these words with no repeated letters.

(c) How many of these words start with an a or end with a z or both (repeated letters are allowed)?

$T = T_{1} + T_{2} + T_{3}$

$T_{1}$ is the number of words that start with an a and do not end with z. So we have

1 - 26 - 26 - 26 - 25

The first letter can only be a, and the last one cannot be z. So:

$T_{1} = 26^{3}*25 = 439,400$

$T_{2}$ is the number of words that start with any letter other than a and end with z. So we have

25 - 26 - 26 - 25 - 1

The first letter can be any of them, other than a, and the last can only be z. So:

$T_{2} = 26^{3}*25 = 439,400$

$T_{3}$ is the number of words that both start with a and end with z. So:

1 - 26 - 26 - 26 - 1

The first letter can only be a, and the last can only be z. The other three letters could be anything. So:

$T_{3} = 26^{3} = 17,576$

$T = T_{1} + T_{2} + T_{3} = 2*439,400 + 17,576 = 896,376$

896,376 of these words start with an a or end with a z or both

4 0

3 years ago

The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 5 units,

makvit [3.9K]

Step-by-step explanation:

k is the variable for the translations on the Y-axis so if u move the graph 5 units down then k would be 5

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