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Anettt [7]
3 years ago
7

Need help ASAP. Please and thanks!:

Mathematics
1 answer:
Nuetrik [128]3 years ago
3 0

Answer:

The answer is x=294 (B)

Step-by-step explanation:

Remember, all interior angles of a hexagon add to 720.

So add all the  given numbers first.

92+100+94+140+x= 720

426+x=720

-426 from both sides

x= 294

I know this is a week later since you posted the question, sorry.

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Jane is opening a savings account with an initial deposit of $100. The bank offers a 5%
yKpoI14uk [10]

Answer:

105 dollars after a year

Step-by-step explanation:

I = (100)(0.05)(1)

I = 5

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3 years ago
write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 40 to 56
masha68 [24]

Answer:

  5/7

Step-by-step explanation:

A common factor of 8 can be canceled from numerator and denominator.

  40/56 = (5·8)/(7·8) = (5/7)·(8/8) = (5/7)·1 = 5/7

_____

Since you know your multiplication tables, you know that 40 and 56 are both multiples of 8.

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If you don't know your multiplication tables, you can find the greatest common divisor (GCD) of the two numbers and divide each by that. The GCD can be found using Euclid's algorithm. For that, you divide the larger by the smaller and use the remainder as the new smaller number. The original smaller number is now the larger number. For these numbers, that looks like ...

  56 ÷ 40 = 1 r 16

  40 ÷ 16 = 2 r 8

  16 ÷ 8 = 2 r 0 . . . . . the zero remainder signals that the divisor (8) is the GCD

Now, your fraction is ...

  (40/8) / (56/8) = 5/7

3 0
3 years ago
Read 2 more answers
I need help finding the area
AleksAgata [21]
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3 years ago
How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen
fenix001 [56]

Answer:

120

Step-by-step explanation:

Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

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Now we can use the permutation formula:

_{n}P_{k}=\dfrac{n!}{(n-k)!}

_{6}P_{3}=\dfrac{6!}{6-3)!}

_{6}P_{3}=\dfrac{6!}{3!}

_{6}P_{3}=\dfrac{6*5*4*3*2*1}{3*2*1}

The 3*2*1 cancels out and leaves us with:

_{6}P_{3}=6*5*4

_{6}P_{3}=120

So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.

6 0
3 years ago
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Which of the following are solutions to the system graphed below.
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