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borishaifa [10]
3 years ago
8

What are vertically opposite angles 

Mathematics
2 answers:
posledela3 years ago
8 0
When two angles of two lines are directly facing one another, or opposite, hope this helps!
NeTakaya3 years ago
7 0
When two lines cross, there are four angles at the place where they cross.
Two angles that do NOT share a side are vertical angles. There are two pairs
of vertical angles where the lines cross.

Also, by the way, vertical angles are always equal to each other.  It's often
very helpful to know that.
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Select all of the sentences that are punctuated correctly.
STatiana [176]


The dog's bowl was empty.

The singer's songs were finished.

6 0
3 years ago
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If a pine tree grows 3 inches per year,how long will it take for the tree to reach a height of 8 feet
vichka [17]

Answer:

32 years

Step-by-step explanation:

8x12 because there are 12 inches in a foot

8x12=96

96/3

96/3=32

4 0
3 years ago
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What is the nth term rule of the quadratic sequence below?
Vladimir [108]

Answer:

3n² + 5n - 2

Step-by-step explanation:

<u>Given sequence</u>:

6, 20, 40, 66, 98, 136, ...

Calculate the <u>first differences</u> between the terms:

6 \underset{+14}{\longrightarrow} 20 \underset{+20}{\longrightarrow} 40 \underset{+26}{\longrightarrow} 66 \underset{+32}{\longrightarrow} 98 \underset{+38}{\longrightarrow} 136

As the first differences are not the same, calculate the <u>second differences:</u>

14 \underset{+6}{\longrightarrow} 20 \underset{+6}{\longrightarrow} 26 \underset{+6}{\longrightarrow} 32 \underset{+6}{\longrightarrow} 38

As the <u>second differences are the same</u>, the sequence is quadratic and will contain an n² term.

The <u>coefficient</u> of the n² term is <u>half of the second difference</u>.

Therefore, the n² term is:  3n²

Compare 3n² with the given sequence:

\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 & 3 & 12 & 27 & 48 \\\cline{1-5} \sf operation & +3&+8 & +13 & +18 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}

The second operations are different, therefore calculate the differences <em>between</em> the second operations:

3 \underset{+5}{\longrightarrow} 8 \underset{+5}{\longrightarrow} 13\underset{+5}{\longrightarrow} 18

As the differences are the same, we need to add 5n as the second operation:

\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2  +5n & 8&22 & 42 & 68\\\cline{1-5}\sf operation & -2 &-2  &-2  & -2  \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}

Finally, we can clearly see that the operation to get from 3n² + 5n to the given sequence is to subtract 2.

Therefore, the nth term of the quadratic sequence is:

3n² + 5n - 2

6 0
2 years ago
What characteristics make terms "like terms?"
Novay_Z [31]

Answer:

same variable and same exponent

3 0
3 years ago
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A cone with volume 246 ft cubic if the height is 15 find the radius
Liula [17]

Answer:

r = 3.95 ft

Step-by-step explanation:

Volume of cone = \frac{1}{3} \pi r^{2} h = 246 ft³

246 = \frac{1}{3} * \frac{22}{7} * r^2 * 15

r² = \frac{246*3*7}{22*15*5}

r = \sqrt{15.65}

r = 3.95 ft

8 0
3 years ago
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