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1 year ago

Need help asap! Having trouble !

Mathematics

1 answer:

Serggg [28]1 year ago

8 0

In a trapezoid, the segment at the midpoint is the average of the other two bases.

In other words: YZ = (QR + TS) / 2

5x + 1 = ( (2x + 7) + 19 ) / 2

2(5x + 1) = 2x + 26

10x + 2 = 2x + 26

8x = 24

x = 3

YZ = 5x + 1

YZ = 5(3) + 1

YZ = 15 + 1

YZ = 16

Hope this helps!

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Step-by-step explanation:

We are given the following explicit formula for an arithmetic sequence:

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So to find the first five terms of this sequence, we will substitute the values of $n$ (num here in the given formula:

$a_1=21-2(1)^2\\\\a_1=19$

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$a_3=21-2(3)^2\\\\a_3=3$

$a_4=21-2(4)^2\\\\a_4=-11$

$a_5=21-2(5)^2\\\\a_5=-29$

Therefore, the first five terms of the sequence defined by the explicit formula $a_n=21-2n^2$ are 19, 13, 3, -11, -29.

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