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3 years ago

Someone please help

Mathematics

1 answer:

Anna71 [15]3 years ago

5 0

9514 1404 393

Answer:

622

Step-by-step explanation:

The n-th term of an arithmetic sequence is given by the formula ...

an = a1 +d(n -1)

where a1 is the first term (6), and d is the common difference (14-6=8).

Then the 78th term is ...

a78 = 6 + 8(78 -1) = 6 + 616 = 622

The 78th term is 622.

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3 years ago

△ABC ≅ △DEF, EF = x 2 - 7, and BC = 4x - 2.

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Answer:

Therefore the value of x is 5.

Step-by-step explanation:

Given:

△ABC ≅ △DEF,

EF = x 2 - 7, and

BC = 4x - 2.

To Find:

the values of x. = ?

Solution:

△ABC ≅ △DEF ........Given

If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.

∴ BC ≅ EF ...................CPCTC

Substituting the values we get

$4x-2=x^{2}-7\\x^{2}-4x-5=0$

Now By Factorizing we get

$x^{2}-5x+x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\ or\ x-5=0\\x=-1\ or\ x=5\\x\ cannot\ be\ negative\\\therefore x=5$

Therefore the value of x is 5.

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3 years ago

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nataly862011 [7]

Answer:

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Step-by-step explanation:

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2 years ago

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We know that
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