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Liula [17]
3 years ago
10

Please help once again!!! I need it ASAP!!! It's due very soon!!!

Mathematics
2 answers:
Agata [3.3K]3 years ago
6 0
Number 13 is 79° !!!!!!
Aliun [14]3 years ago
4 0

Answer:

1st Question:

m<1 = 90°

m<2= 79°

m<3= 101°

2nd Question:

m<1=97°

m<3=83°

m<6=83°

Step-by-step explanation:

1st Question :

m<1 is a right angle.

m<2 is 79° because of parallel line denote the same angle.

m<3 is 101° because 180°-79°=101°.( As we know sum of angles in a straight line = 18° degree. )

2nd question:

m<1 is 97° because sum of angles in a straight line = 180°

                    So, 180°-83°=97°

m<3 is 83° because sum of parallel sides are equal.

m<6 is 83° because sum of parallel sides are equal.

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A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther
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<h2>Answer:</h2>

<em><u>Recursive equation for the pattern followed is given by,</u></em>

a_{n}=a_{n-1}+(n-1)^{2}

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

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Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\

Therefore, on checking, we observe that,

a_{n}=a_{n-1}+(n-1)^{2}

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

<u>At, </u>

<u>n = 1</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0

which is true.

<u>At, </u>

<u>n = 2</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1

Which is also true.

<u>At, </u>

<u>n = 3</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5

Which is true.

<u>At, </u>

<u>n = 4</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14

This is also true at the given value of 'n'.

<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>

a_{n}=a_{n-1}+(n-1)^{2}

3 0
3 years ago
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How many hours total?
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The total bill for five people was $74.90. They Agreed to leave a 20% tip and divide the total cost evenly. How much did each of
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TIP:
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