Sin45 = 7 / y
y = 7/sin45
y = square root 98
Slot A = chairperson position
Slot B = secretary position
Slot C = treasurer position
There are 9 choices for slot A. After picking that person, there are 8 choices for slot B. Then 7 choices for slot C
Multiply those values out: 9*8*7 = 72*7 = 504
There are 504 ways to pick three people from a pool of nine.
Answer: 504
Note: order matters so this is a permutation. You can use the nPr permutation formula with n = 9 and r = 3 to get the same answer
Use the distrubution property and multiply -16 by -8s and 17.
128s-272
<span> In order to bisect an angle is the normal way by joining the vertex of the lines with the double arc that is created
i hope this helps you</span>
<h2>
Answer:</h2>
Triangles ΔADM and ΔUTM are congruent by SAS postulate.
<h2>
Step-by-step explanation:</h2>
We say that two triangles are congruent<em> </em> <em>if and only if </em> they have exactly the same three sides and exactly the same three angles. So if you can turn one triangle into the other by moving, rotating or flipping, then they are definitively congruent. The symbol we use for expressing congruency is ≅. Since triangles ΔADM and ΔUTM have two matching sides and a matching angle between them, then they are congruent by SAS Postulate (Side Angle Side). Then:
ΔADM ≅ ΔUTM
