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2 years ago

If m∠2=39 and m∠3=30, what is m∠1?

Mathematics

1 answer:

satela [25.4K]2 years ago

7 0

Answer:

The answer would be A.) 111

Step-by-step explanation:

The angles of any triangle must add up to 180. So you subtract ∠1 and ∠2 from 180 and you will get the 3rd angle.

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30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

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2 years ago

3<br> Find the slope and y-intercept from the following graph of a linear equation.

morpeh [17]

Answer:

A. Slope = 4 and y-intercept = 3

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2 years ago

You volunteer to help children at a charity event to the zoo, but you can fit only 7 of the 14 children present in your van. How

Alex

Answer:

2 Groups

Step-by-step explanation:

if there is 14 kids and you can only drive 7 at a time. You are going to have to make 2 trips because 7 + 7 = 14

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2 years ago

Read 2 more answers

Can someone tell please simplify these expressions (c)

astraxan [27]

Answer:

12cx^2-24c

-2x^3-12x^2y

Step-by-step explanation:

They shouldn't be written like that but just distribute

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3 years ago

I will give you a brainliest

7nadin3 [17]

Answer:

I believe the answer is A:

Step-by-step explanation:

Please Mark me a brainlsit :D

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1 year ago