Answer:
![\boxed{\stackrel{\Large\frown}{PQS}\:= 222°}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%5Cstackrel%7B%5CLarge%5Cfrown%7D%7BPQS%7D%5C%3A%3D%20222%C2%B0%7D%20)
Explanation:
Since
is a diameter, arc ![\stackrel{\Large\frown}{PQR}\:= 180°.](https://tex.z-dn.net/?f=%20%5Cstackrel%7B%5CLarge%5Cfrown%7D%7BPQR%7D%5C%3A%3D%20180%C2%B0.%20)
Given that
is a subtended central angle by two diameters,
.
Using the rule of arcs,
→
![180° + \: 42° = \: \stackrel{\Large\frown}{PQS}](https://tex.z-dn.net/?f=%20180%C2%B0%20%2B%20%5C%3A%2042%C2%B0%20%3D%20%5C%3A%20%5Cstackrel%7B%5CLarge%5Cfrown%7D%7BPQS%7D%20)
![222° = \: \stackrel{\Large\frown}{PQS}](https://tex.z-dn.net/?f=%20222%C2%B0%20%3D%20%5C%3A%20%5Cstackrel%7B%5CLarge%5Cfrown%7D%7BPQS%7D%20)
![\stackrel{\Large\frown}{PQS} \: = \: 222°](https://tex.z-dn.net/?f=%20%5Cstackrel%7B%5CLarge%5Cfrown%7D%7BPQS%7D%20%5C%3A%20%3D%20%5C%3A%20222%C2%B0%20)
Answer:
2280 minutes.
Step-by-step explanation:
Time spent each week in lessons = (Lessons per week)(Time per lesson)
= (6)(38)
= 228 minutes/week
Time spent in a 10-week period:
10 weeks * 228 minutes/week
= 2280 minutes
Use conversion factors to determine the time in the desired units (i.e. Hours, seconds, etc.).
Hope this helps!
Answer:
3, 6, 9, 12, and so on, basically any number that can be divided by 3
Answer:
$1689
Step-by-step explanation:
Excess of rent amount over annual property tax bill = annual rent - annual property tax
annual property tax = [(assessed property value / 100) x 1.69]
( $390,000 / 100) x 1.69 = $6591
Annual rent = $690 x 12 = $8280
$8280 - $6591 = $1689
Answer: <em>x=4</em>
Step-by-step explanation:
<em>1+3x=x+9</em>
<em> -x -x</em>
<em>1+2x=9</em>
<em>-1 -1</em>
<em>2x=8</em>
<em>Divide by 2 on each side</em>
<em>Final result</em>
<em>x=4</em>