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pashok25 [27]
2 years ago
12

Find the value of m < 7 .

Mathematics
2 answers:
lesya [120]2 years ago
7 0

Answer:

B

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FES is an exterior angle of the triangle , then

57° + ∠ F = 142° ( subtract 57° from both sides )

∠ F = 85°

frez [133]2 years ago
6 0

Answer: Option B: 85°

Step-by-step explanation:

Finding E: 142 + 180 + E = 360

360 - 142 - 180 = 32

E = 32

Finding F: 57 + 32 + F = 180

180 - 57 - 32 = 85

F = 85

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lesya692 [45]

Answer:

S=720

Step-by-step explanation:

From the question we are told that

Six wire are attached to a circuit board

Generally using multiplication rule

Let number of possible sequence be given as S

Mathematically  

S=6! =6*5*4*3*2*1=720

Therefore

Number of possible sequence S=720

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3 years ago
Identify the 8th term of the geometric sequence in which a3 = 16 and a6 = −128
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4 years ago
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Fiesta28 [93]
The two angles are a linear pair.
(Explanations down below!)

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6 0
4 years ago
Cynthia invests some money in a bank which pays 5% compound interest per year. She wants it to be worth over £8000 at the end of
Agata [3.3K]

\bf \qquad \textit{Compound Interest Earned Amount}\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\quad \begin{cases}A=\textit{accumulated amount}\to &8000\\P=\textit{original amount deposited}\\r=rate\to 5\%\to \frac{5}{100}\to &0.05\\n=\begin{array}{llll}\textit{times it compounds per year}\\\textit{is only once, so}\end{array}\to &1\\t=years\to &3\end{cases}

\bf 8000=P\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies 8000=P(1.05)^3\implies \cfrac{8000}{1.05^3}=P\\\\\\6910.70\approx P\implies  \stackrel{\textit{rounded up}}{6911 = P}\qquad  therefore\qquad 6911~~\leqslant ~~P

6 0
3 years ago
Which expression has twice the value of 2 times 2 times 2 times 2 times 2?
Brilliant_brown [7]

Answer:

2 To the 6'th power.

Step-by-step explanation:

2x2x2x2x2=32

twice the value of 32 is 64

2x2x2x2x2x2=64

so your answer would be 2 to the sixth power

hope this helps! :)

3 0
3 years ago
Read 2 more answers
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