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kow [346]
3 years ago
14

Please help me!!! I suck at math :((

Mathematics
1 answer:
stiks02 [169]3 years ago
7 0

If we know that line AB is equal to line AD, then this means that ∠ADB has to be equal to ∠ABD in order to form a closed triangle. All angle measures of a triangle add up to 180°, so use the equation: 2(35) + x = 180.

70 + x = 180

Subtract 70 from both sides to isolate x:

180 - 70 = 110

110 = x

Hope this helped.

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The Fibonacci sequence is defined by $F_1 = F_2 = 1$ and $F_{n + 2} = F_{n + 1} + F_n$. Find the remainder when $F_{1999}$ is di
zavuch27 [327]

Answer:

The remainder is 1

Step-by-step explanation:

Given the Fibonacci sequence

F_1 = F_2 = 1, and

F_(n + 2) = F_(n + 1) + F_n

We want to find the remainder when F_(1999) is divided by 5.

Let us write the first 20 numbers of the sequence in (mod 5). They are

F_1 = 1,

F_2 = 1,

F_3 = 2,

F_4 = 3,

F_5 = 5 = 0 (mod 5),

F_6 = 3,

F_7 = 3,

F_8 = 1

F_(9) = 4

F_(10) = 0

F_(11) = 4

F_(12) = 4

F_(13) = 3

F_(14) = 2

F_(15) = 0

F_(16) = 2

F_(17) = 2

F_(18) = 4

F_(19) = 1

F_(20) = 0

We have: 1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0

Now, 1999 = 19(mod 20)

The 19th number in the sequence is 1.

So, the remainder is 1.

6 0
2 years ago
There are 7 males and 5 females and we need to select 4 different people. how many ways can we select 4 people?
saul85 [17]

\displaystyle \binom{12}{4}=\dfrac{12!}{4!8!}=\dfrac{9\cdot10\cdot11\cdot12}{2\cdot3\cdot4}=495

5 0
3 years ago
Find the cost of carpeting a 9 foot by 12 foot room at $30 per square yard.
S_A_V [24]
Area = length X width
A = L(12 ft) x W(9 ft) but since the cost of carpet is given in square yards not square feet we need to convert
A = (12 ft)(1 yd/3 ft) x (9 ft)(1 yd/3 ft) 1 yard = 3 feet so 1 foot = 1/3 yard
A = 4 yd x 3 yd divide by 3 ft which cancels the original ft and leaves yd's
A = 12 square yards
Cost = Area x price per yard
Cost = 12 sq yd X $35.00/ sq yd multiply and the sq yd's cancel leaving just cost in dollars
Cost = $420.00
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Answer:

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