A secant is a line segment that intersects a circle in two places. One property of a secant is the product of the lengths ratio. This ratio can be described as the following, let ( $inside$ ) refer to the part of the secant that is inside the circle, and ( $outside$ ) refer to the part that is outside of it. ( $total$ ) will refer to the entirety of the secant or ( $inside+outside$ ). The numbers (1) and (2) will be used as subscripts to indicate that there are two different secants.

$(outside_1)(total_2)=(outside_2)(total_2)$

Substitute,

$(outside_1)(total_2)=(outside_2)(total_2)$

$(outside_1)(inside_1+outisde_1)=(outside_2)(inside_2+outside_2)$

$(6)(6+x+5)=(7)(7+x+1)$

Simplify,

$(6)(6+x+5)=(7)(7+x+1)$

$6(x+11)=7(x+8)$

$6x+66=7x+56$

Inverse operations,

$6x+66=7x+56$

$66=x+56$

$10=x$

3 0

3 years ago

If a sample is selected from a population, the sample mean is essentially guaranteed to be different from the population mean. i

NeX [460]

<span>When a sample is selected from a population, the sample mean is essentially almost always different from the population mean. In general, the naturally occurring discrepancy between a sample statistic and the corresponding population parameter is called sampling error. This occurs because the samples taken do not fully represent all of those belonging to the population.</span>

7 0

3 years ago