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guajiro [1.7K]
3 years ago
5

Find the sum of odd integers from 1 through 57

Mathematics
1 answer:
HACTEHA [7]3 years ago
3 0

Answer:

Step-by-step explanation:

First we find n:

Tn = a+ (n-1)d

Here,

a=1 ,Tn =57

d=2 ( difference between numbers is 2)

Now,

57 = 1 + (n-1)2

57 = 2n -1

58/2 = n

Or n = 29

Now, We find sum :

Sn = n/2 { a+Tn}

= 29/2 { 1 + 57 }

= 29/2 ( 58)

= 29 x 29

= 841

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svetlana [45]

Answer:

The measure of ∠EFG is 52°

Step-by-step explanation:

Given line m is parallel to line p. m∠HEF = 39º and m∠IGF = 13º.we have to find m∠EFG.

In ΔJFG,

By angle sum property of triangle, which states that sum of all angles of triangle is 180°

m∠FJG+m∠JGF+m∠JFG=180°

⇒ 39°+13°+m∠JFG=180°

⇒ m∠JFG=180°-39°-13°=128°

As JFE is a straight line ∴ ∠JFG and ∠EFG forms linear pair

⇒ m∠JFG+m∠EFG=180°

⇒ 128°+m∠EFG=180°

⇒ m∠EFG=52°

The measure of ∠EFG is 52°

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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