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Ilya [14]
2 years ago
13

Is this a polygon or trapezoid?

Mathematics
2 answers:
atroni [7]2 years ago
8 0

Answer:

No

Step-by-step explanation:

this is my opinion so No

Kryger [21]2 years ago
5 0
No a trapezoid has 2 parallel lines
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Three picture frames were measured in inches and the results are shown below, without rounding. Determine which picture frame ha
marysya [2.9K]

Answer:

In the case of the second frame, the sides are not perpendicular to each other.

Step-by-step explanation:

A. The length (l) of the frame is 20 and width (w) is 15.

If the frame is a rectangular one, then diagonal (d) can be calculated from the Pythagoras Theorem asd^{2} = l^{2} + w^{2} = 20^{2} + 15^{2} = 625 = 25^{2}

⇒ d = 25 (Also given)

So, the frame is rectangular one.

B. The length (l) of the frame is 22 and width (w) is 10.

If the frame is a rectangular one, then diagonal (d) can be calculated from the Pythagoras Theorem asd^{2} = l^{2} + w^{2} = 22^{2} + 10^{2} = 584

⇒ d = 24.166 ≠ 24 (24 is the given value)

So, the frame is not a rectangular one.

C. The length (l) of the frame is 21 and width (w) is 20.

If the frame is a rectangular one, then diagonal (d) can be calculated from the Pythagoras Theorem asd^{2} = l^{2} + w^{2} = 21^{2} + 20^{2} = 841 = 29^{2}

⇒ d = 29 (Also given)

So, the frame is rectangular one.

Therefore, in the case of the second frame, the sides are not perpendicular to each other. (Answer)

7 0
2 years ago
Which graph is an example of direct variation?
Svet_ta [14]

Answer:

negative 2 is the answer

3 0
2 years ago
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In an arithmetic sequence, a_17 = -40 and a_28 = -73. Please explain how to use this information to write a recursive formula fo
Vinvika [58]

An arithmetic sequence

a_1,a_2,a_3,\ldots,a_n,\ldots

is one in which consecutive terms of the sequence differ by a fixed number, call it <em>d</em>. This means that, given the first term a_1, we can build the sequence by simply adding <em>d</em> :

a_2=a_1+d

a_3=a_2+d

a_4=a_3+d

and so on, the general pattern governed by the recursive rule,

a_n=a_{n-1}+d

We can exploit this rule in order to write any term of the sequence in terms of the first one. For example,

a_3=a_2+d=(a_1+d)+d=a_1+2d

a_4=a_3+d=(a_1+2d)+d=a_1+3d

and so on up to

a_n=a_1+(n-1)d

In this case, we're not given the first term right away, but the 17th. But this isn't a problem; we can use the same exploit to get

a_{18}=a_{17}+d

a_{19}=a_{17}+2d

a_{20}=a_{17}+3d

and so on, up to the next term we know,

a_{28}=a_{17}+11d=-40+11d

(Notice how the subscript of <em>a</em> on the right and the coefficient of <em>d</em> add up to the subscript of <em>a</em> on the left.)

The 28th term is -73, so we can solve for <em>d</em> :

-73=-40+11d\implies -33=11d\implies d=-3

To get the first term of the sequence, we use the rule found above and either of the known values of the sequence. For instance,

a_{17}=a_1+16d\implies-40=a_1-16\cdot3\implies a_1=8

Then the recursive rule for this particular sequence is

\begin{cases}a_1=8\\a_n=a_{n-1}-3&\text{for }n>1\end{cases}

7 0
3 years ago
2(h - 8) - h = h - 16
tresset_1 [31]

2(h-8)-h=h-16

2h-16-h=h-16

h=h

h has infinitely many solutions.

5 0
2 years ago
Courtney and Alan are conducting an experiment. Every time Courtney flips a fair two-sided coin, Alan rolls a six-sided die. Wha
Naily [24]

Answer:

I think the answer is D. 1/12

7 0
2 years ago
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