Answer:
Step-by-step explanation:
1.∠VUZ
2.alternate
3.4x+5x=180
9x=180
x=180/9=20
m∠svw=4×20=80°
4.
m∠VWT=5x=5×20=100°
5.
internal (angles on the same side between two parallel lines or adjacent angles are supplementary.
The correct question in the attached figure
we know that
weekly sales------------> $3200
8% weekly sales--------> 0.08*3200=$256
Option 1---------> salary=$600 per week
Option 2---------> salary=$350+$256=$606 per week
Option 2> Option 1
then
she will earn more money with the option 2
the answer part A) is option 2
Part B)
<span>If x represents Chloe’s weekly sales
</span>equation option 1---------> 600
equation option 2---------> 350+0.08*x
the equation can be used to determine which option will benefit her the most is making the two options equal
600= 350+0.08*x
the answer Part B) is 600= 350+0.08*xPart C)
<span>she will earn more money with Option 1 when
</span>600 > 350+0.08*x------------> (600-350) > 0.08*x-------> 250 > 0.08*x
250/0.08 > x------> 3125 > x---------> x < $3125
the answer Part C) is x < $3125
Radius: r=18 feet
Cental Angle: A=44°
Each cycle (one back and forth) lasts 12 seconds
In each cycle the pendulum swings:
L=(A/360°) 2 pi r
L=(44°/360°)(2)(3.141592654)(18 feet)
L=(0.122222222)(113.0973355 feet)
L=13.82300764 feet
Rounded to 3 decimal places:
L=13.823 feet
Each minute (60 seconds) the pendulum makes:
Number of cycles: n=(60 seconds) / (12 seconds)→n=5 cycles
Then, each minute, the pendulum swings:
T=nL=5(13.823 feet)→T=69.115 feet
Answer: Each minute, the pendulum swings 69.115 feet.