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Sav [38]
3 years ago
9

Analyze the diagram below and answer the question that follows.

Mathematics
1 answer:
Basile [38]3 years ago
3 0

Answer:

Length KL is 128 units

Step-by-step explanation:

The question is incomplete, as the required statements are not given.

From the image of the attached triangle, we can see hat the triangle is right-angled.

So, we have:

219^2 = 178^2 + KL^2

Rewrite as:

KL^2 = 219^2 - 178^2

KL^2 = 16277

Take square roots

KL = 128 -- approximated

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  • -1 + x < -10

  • x < -10 + 1

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The figure below shows rectangle ABCD.
kipiarov [429]

Answer: We can find out the missing statement with help of below explanation.

Step-by-step explanation:

We have a rectangle ABCD with diagonals AC and BD ( shown in given figure.)

We have to prove: Diagonals AC and BD bisect each other.

In triangles, AED and BEC.

\angle ADB \cong \angle CBD ( By alternative angle theorem)

AD\cong BC ( Because ABCD is a rectangle)

\angle CAD\cong \angle ACB  ( By alternative angle theorem)

By ASA postulate,\triangle AED\cong \triangle BEC

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⇒ BE= ED and CE=EA

By the definition of bisector, AC and BD bisect each other.


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Using the table find g(x) and use that to find g(-10)
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2 years ago
What's the explicit formula for the sequence :")
zzz [600]

Hello from MrBillDoesMath!

Answer:

a(n) = 12 - 3(n-1)          , n = 1,2,3.,,



Discussion:

The terms are 12, 9, 6, 3  so we are apparently subtracting 3 from each succeeding term. . Hence

a(n) = 12 - 3(n-1)          , n = 1,2,3.,,


Thank you,

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7 0
3 years ago
The explicit rule for the arithmetic sequence shown in the graph is a↓n=9.5+2(n-1)
Virty [35]

Answer:

True.

Step-by-step explanation:

The explicit form for an arithmetic sequence is:

a_n=a_1+d(n-1)

where a_1 is the first term and d is the common difference.

The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.

Yes, the common difference is the slope.

So we have d=2.

The first term is 9.5 because that is what happens when x=1.

x is n.

y is a_n.

So the answer is true.

----

You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:

Let n=1:

a_1=9.5+2(1-1)

a_1=9.5+2(0)

a_1=9.5+0

a_1=9.5

Let n=2:

a_2=9.5+2(2-1)

a_2=9.5+2(1)

a_2=9.5+2

a_2=11.5

Let n=3:

a_3=9.5+2(3-1)

a_3=9.5+2(2)

a_3=9.5+4

a_3=13.5

Let n=4:

a_4=9.5+2(4-1)

a_4=9.5+2(3)

a_4=9.5+6

a_4=15.5

Let n=5:

a_5=9.5+2(5-1)

a_5=9.5+2(4)

a_5=9.5+8

a_5=17.5

Let n=6:

a_6=9.5+2(6-1)

a_6=9.5+2(5)

a_6=9.5+10

a_6=19.5

We have confirmed that we get all 6 of the mentioned points using the equation they gave.

5 0
3 years ago
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