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Vlad1618 [11]
3 years ago
7

Please help me with this

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0
120+x+16+x=180
2x+ 136=180
2x=44
X= 22

<B= 22
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Answer:

x = 2

Step-by-step explanation:

2(x+1)=3x

2x+2=3x

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What is 5/8 with a denominator of 24?
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Step-by-step explanation:

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What is the measure of the angle at the tail end of the kite? if the top area is where its pointed is 122?
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Answer:

The angle is 58 degrees

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See attachment for kite

Required

The angle at the tail end

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8 0
2 years ago
HELPP! Calculate S22 for the arithmetic sequence in which a12=2.4 and the common difference is d=3.4
Natalka [10]

Answer:

Option A is correct.

Value of S_{22} = 15.4

Step-by-step explanation:

Given: a_{12} = 2.4 and common difference(d) = 3.4

A sequence of numbers is arithmetic i.e,  it increases or decreases by a constant amount each term.

The sum of the nth term of a arithmetic sequence is given by;

S_n =\frac{n}{2}(2a+(n-1)d), where n is the number of terms, a is the first term and d is the common difference.

We also know the nth tern sequence formula which is given by ;

a_n = a+(n-1)d                             ......[2]

First find a.

it is given that a_{12} = 2.4

Put n =12 and d=3.4 in equation [2] we have;

a_{12} = a+(12-1)(3.4)

a_{12} = a+(11)(3.4)

2.4 = a + 37.4

Simplify:

a = - 35

Now, to calculate S_{22}

we use equation [1];

here, n =2 , a =-35 and d=3.4

S_{22} = \frac{22}{2}(2(-35)+(22-1)(3.4))

S_{22} = (11)(-70+21(3.4))

S_{22} = (11)(-70+71.4)

S_{22} = (11)(1.4)

Simplify:

S_{22} = 15.4

Therefore, the sum of sequence of 22nd term i.e, S_{22} = 15.4

8 0
3 years ago
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