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olya-2409 [2.1K]
3 years ago
7

Please help me find the value of x

Mathematics
1 answer:
Marianna [84]3 years ago
7 0

Answer:

x = 36 degrees

Step-by-step explanation:

We can use exterior angles theorem to find that 140 degrees is equal to x plus 104 degrees. We subtract 104 degrees on both sides and get that x is 36 degrees.

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Write 6 1/3 as an improper fraction.
Anarel [89]

Answer:

19/3

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
given two terms in a geometric sequence find the 8th term and the recursive formula . a4=-12 and a5=-6
Crazy boy [7]

A geometric sequence is defined by a starting point, a, and a common ratio r

The first term is a, and you get every next term by multiplying the previous one by r.

So, our terms are

\left[\begin{array}{c|c}a_1&a\\a_2&ar\\a_3&ar^2\\a_4&ar^3=-12\\a_5&ar^4=-6\end{array}\right]

We can see that when we pass from a_4 to a_5 the number gets halved (-12 \mapsto -6)

This implies that the common ratio is r = \frac{1}{2}

So, the table becomes

\left[\begin{array}{c|c}a_1&a\\a_2&\frac{1}{2}a\\a_3&\frac{1}{4}a\\a_4&\frac{1}{8}a=-12\\a_5&\frac{1}{16}a=-6\end{array}\right]

So, we can derive the starting point from either a_4 or a_5:

\dfrac{1}{8}a = -12 \iff a = -12\cdot 8 = -96

The sequence is thus

\left[\begin{array}{c|c}a_1&-96\\a_2&-48\\a_3&-24\\a_4&-12\\a_5&-6\\a_6&-3\\\vdots&\vdots\end{array}\right]

And the recursive formula is

a_n = -\dfrac{96}{2^{n-1}}

7 0
4 years ago
Please I really need help doing this question
12345 [234]
Total distance = 20 km = 20 000 m
walk = 800 m
cycle = 20 000 - 800 = 19 200m
percentage of the journey = \frac{19200}{20000} x 100% = 96%

6 0
4 years ago
In the figure, AOB II (parallels) CD, find the values of x and y.
Advocard [28]

Answer:

x = 5, y = 20

Step-by-step explanation:

Since AB and CD are parallel, then

∠ AOC and ∠ OCD are Alternate angles and congruent, thus

12x + 8 = 68 ( subtract 8 from both sides )

12x = 60 ( divide both sides by 12 )

x = 5

-------------------------------

∠ OCD and 5y + 12 are adjacent angles and supplementary, thus

5y + 12 + 68 = 180 , that is

5y + 80 = 180 ( subtract 80 from both sides )

5y = 100 ( divide both sides by 5 )

y = 20

5 0
4 years ago
2/3 -4x + 7/2 = -9x+ 5/6 combine terms Subtract add multiply divide step by step solve the equation
erastovalidia [21]
25 5
— -4x = -9x+ —
6 6

-4x + 9x = 5/6 - 25/6

5x = -10/3

Answer : x=-2/3
6 0
3 years ago
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