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3 years ago

Find the value of x in each case:

Mathematics

1 answer:

love history [14]3 years ago

4 0

9514 1404 393

Answer:

x = 45°

Step-by-step explanation:

The triangle interior angle at I will be the supplement of the angle marked 2x. The triangle interior angle at G will be equal to x, the alternate interior angle with respect to transversal GI crossing the parallel lines.

The angle marked 3x is the sum of these "remote" interior angles:

3x = 180 -2x +x

4x = 180 . . . . . . . . . add x; next, divide by 4

x = 180/4 = 45 . . . . . degrees

x = 45°

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3 years ago

In 1955 an antique car that originally cost $3,668 is valued today at $62,125 if in excellent condition, which is 1 3/4 times as

chubhunter [2.5K]

Answer:

The value of the car in very nice condition will be $35500.

Step-by-step explanation:

Let the value of car in a very nice condition be = x

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4 years ago

Consider the sequence following a minus 8 pattern: 9, 1, −7, −15, ….

photoshop1234 [79]

Answer: -287

Step-by-step explanation:

The given pattern: 9, 1, -7, -15, ….

We observe that ,

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Common difference between the terms= 1-9=-8

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$a_n=a+(n-1)d$

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$a_{38}=9+(-8)(38-1)\\\\=9-8(37)=9-296=-287$

Hence, the 38th term of the sequence.= -287

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Step-by-step explanation:

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