Answer:
c the opposite angles of a cyclic quadrilateral arcsupplementary
<h3>Answer:</h3>
6.8 inches
<h3>Explanation:</h3>
The shortest distance from P to the circle is along the line between P and the center of the circle. That line is the hypotenuse of the right triangle whose legs are PQ and QC (where C is the circle center).
The Pythagorean theorem tells you
... PC² = PQ² +QC²
... PC² = 13² +9² = 250
... PC = √250 = 5√10 ≈ 15.8114 . . . . inches
The distance from P to the circle is 9 in less than this, so is
... 15.8114 - 9 = 6.8114 ≈ 6.8 . . . . inches
Given:
Equations using properties.
To find:
The equation which use the inverse property of multiplication.
Solution:
<u>Inverse property of multiplication:</u>
<em>The product of any number and its reciprocal is always 1.</em>
Let us select the option which uses inverse property of multiplication.
Option A: 
Inverse of
is
. Their product is 1.

This equation uses the inverse property of multiplication.
Option B: 
Inverse of
is 
So, it is not true equation.
Option C: 
Inverse of
is
.
So, it is not true equation.
Option D: ![\left[7 \cdot\left(\frac{5}{7}-\frac{4}{7}\right)\right]+8=9](https://tex.z-dn.net/?f=%5Cleft%5B7%20%5Ccdot%5Cleft%28%5Cfrac%7B5%7D%7B7%7D-%5Cfrac%7B4%7D%7B7%7D%5Cright%29%5Cright%5D%2B8%3D9)
Here also inverse property is not used.
So, it is not true equation.
Hence the equation use the inverse property of multiplication is
.
10^4 = (10)(10)(10)(10) = 10,000
There are
ways of picking 2 of the 10 available positions for a 0. 8 positions remain.
There are
ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's
way of doing that.
So we have

The last expression has a more compact form in terms of the so-called multinomial coefficient,
