Answer:
x = 40
Step-by-step explanation:
The angles add to 180 degrees
30+110 +x = 180
Combine like terms
140 +x = 180
Subtract 140 from each side
140+x-140 =180-140
x = 40
Answer:
It took Pedro <em>3.81 hours</em> to reach the lake.
Step-by-step explanation:
Time taken by Mike to hike a lake = 4.5 hours
Average rate of Mike while hiking the lake = 
Formula for distance can be seen as:
Distance traveled by Mike = 
Rate of Pedro while hiking the same distance = 
Given that, Pedro also travels the same distance.
And we have to find the Time.
It took Pedro <em>3.81 hours</em> to reach the lake.
Answer:
10+3pi
Step-by-step explanation:
The perimeter of of the shaded region is
AC+CT+marcSBT+SA
*Finding AC
The diagonals of a rectangle are equal is measurement. Since RB is a radius of the circle, then RB is 6. Since AC and RB are both diagonals of the rectangle, then AC is also 6.
*Finding CT
CT=RT-RC where RC is the width of the rectangle
Also RT is a radius so we have that
CT=6-RC
*Finding marcSBT
The circumference of a whole circle is 2pi*r.
We have a quarter of this with r=6.
1/4*2pi(6)
1/4*12pi
3pi
*Finding SA
SA=RS-AR
RS is a radius of the circle and AR is the length of the rectangle.
So we have that this can be rewritten as
SA=6-AR
Let's put these parts together:
6+6-RC+3pi+6-AR
Simplifying:
18-RC-AR+3pi
18-(RC+AR)+3pi
18-8+3pi (Remember length plus width equal 8)
10+3pi
10% as a decimal would be .10
