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Leni [432]
3 years ago
7

Angle x measures 110 degrees. If angle x is rotated 60 degrees what is the measure of angle x

Mathematics
1 answer:
loris [4]3 years ago
4 0
0 degree 60 degrees 110 degrees 170 degrees
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Find an for the arithmetic series with s16 = -288 And a1 =-21
Maru [420]
If d is the common difference between terms in the sequence \{a_n\}, then

a_1=-21
a_2=a_1+d=-21+d
a_3=a_2+d=-21+2d
...
a_n=a_{n-1}+d=\cdots=-21+(n-1)d

You're told that S_{16}=-288 (the sum of the first 16 terms in the sequence, presumably). Well, we know that

S_{16}=\displaystyle\sum_{n=1}^{16}a_n=\sum_{n=1}^{16}(-21+(n-1)d)
S_{16}=\displaystyle(-21-d)\sum_{n=1}^{16}1+d\sum_{n=1}^{16}n

Recall that

\displaystyle\sum_{n=1}^kn=\frac{k(k+1)}2

so that we have

-288=16(-21-d)+\dfrac{16(16+1)}2d\implies d=\dfrac25

So we get

\begin{cases}a_1=-21\\\\a_n=-21+\dfrac25(n-1)\end{cases}
8 0
3 years ago
Again stuck why because our teacher got fired so we are stuck with substitute teacher
Anna11 [10]

Answer:

27 > b

Step-by-step explanation:

7 > -20 + b

7 + 20 > -20 + 20 + b

27 > b

4 0
4 years ago
Jesean buys a pizza for 20$ and 10 drinks. The drinks Cost the same amount. He spends 32$ on the pizza and the sodas together
ziro4ka [17]

Answer: See explanation

Step-by-step explanation:

Yiur question isn't complete but I believe that you want to know the price of the soda.

Let the price of the soda be represented by x.

Jesean buys a pizza for 20$ and 10 drinks. This will be: 20 + 10x

He spends 32$ on the pizza and the sodas together. This can be formed into an equation as:

20 + 10x = 32

10x = 32 - 20

10x = 12

x = 12/10

x = 1.2

Therefore, the soda cost $1.20 each

3 0
3 years ago
What was the amount left in the account after the above transactions?
r-ruslan [8.4K]

500-360+350-490 answer is 490

5 0
2 years ago
Explain how to use the coordinates and absolute value to find the distance between points at (3, –7) and (3, 2).
ser-zykov [4K]

Answer:

Using the formula for the distance between two points, which is generated using coordinates and absolute value, we find that the distance between these two points is of 9 units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

This formula is generated using coordinates and absolute value.

In this question:

(3,-7) and (3,2). So

D = \sqrt{(3-3)^2+(2-(7))^2} = \sqrt{81} = 9

The distance between these two points is of 9 units.

4 0
3 years ago
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