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Anarel [89]
3 years ago
15

HELLPPPPP 50 POINTSSSSSS THERE ARE 2 IMAGES!

Mathematics
2 answers:
Alika [10]3 years ago
8 0

Answer:

Alternate interior: angle 2 and angle 13

Vertical: angle 12 and angle 15

Alternate exterior: angle 5 and angle 10

No relationship: angle 1 and angle 16

Corresponding: angle 14 and angle 16

Consecutive interior: angle 4 and angle 11

MariettaO [177]3 years ago
8 0

Answer:

Vertical: angle 12 and angle 15

Alternate exterior: angle 5 and angle 10

No relationship: angle 1 and angle 16

Corresponding: angle 14 and angle 16

Consecutive interior: angle 4 and angle 11Step-by-step explanation:

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Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms
Hunter-Best [27]

Answer:

a) 10th term is 0.051

b) The sum of first 18 terms of given sequence is 51.48

Step-by-step explanation:

We are given the sequence 26, 13, 6.5, ..... we need to find

a) 10th term

b) Sum of first 18 terms

Before solving we need to determine if the sequence is arithmetic or geometric

The sequence is arithmetic if common difference d is same.

The sequence is geometric if common ratio r is same.

Finding common difference d: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5

As common ratio is same so, the sequence is geometric.

a) Finding common difference: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

a) 10th term

The formula to find 10th term is: a_n=a_1r^{n-1}

We have a₁=26 and r = 0.5 n=10

a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051

So, 10th term is 0.051

b) Sum of first 18 terms

The formula to find sum of geometric series is: S_n=\frac{a(1-r^n)}{1-r}

where a= 1st term, r = common ratio and n= number of terms

In the given sequence we have

a=26, r=0.5 and n=18

Finding sum of first 18 terms

S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48

So, sum of first 18 terms of given sequence is 51.48

6 0
3 years ago
Find the value of X <br> ASAP
Taya2010 [7]
X= 103
180 - 65 = 115
X + 12 = 115
X = 115 - 12 = 103
6 0
2 years ago
Solve by extracting roots. Round your answers to two decimal places.
Colt1911 [192]
2.8a^2=55
a^2=55/2.8
a= square root of 55/2.8
7 0
2 years ago
Read 2 more answers
Help please &amp; thank you , need it asap
lapo4ka [179]

Answer:

x = 180 - 30 - 41 - 67 = 42°

5 0
2 years ago
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Whats the square root of 39 to the nearest whole
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The square root of 39 is 6.224
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