Answer:
mRP = 125°
mQS = 125°
mPQR = 235°
mRPQ = 305°
Step-by-step explanation:
Given that
Then:
- measure of arc RP, mRP = mROP = 125°
Given that
- ∠QOS and ∠ROP are vertical angles
Then:
- measure of arc QS, mQS = mROP = 125°
Given that
- ∠QOR and ∠SOP are vertical angles
Then:
Given that
- The addition of all central angles of a circle is 360°
Then:
mQOS + mROP + mQOR + mSOP = 360°
250° + 2mQOR = 360°
mQOR = (360°- 250°)/2
mQOR = mSOP = 55°
And (QOR and SOP are central angles):
- measure of arc QR, mQR = mQOR = 55°
- measure of arc SP, mSP = mSOP = 55°
Finally:
measure of arc PQR, mPQR = mQOR + mSOP + mQOS = 55° + 55° + 125° = 235°
measure of arc RPQ, mRPQ = mROP + mSOP + mQOS = 125° + 55° + 125° = 305°
Remember that the area of a square is just one of its sides squared.

where

is the area of the square

is one of the sides of the square
Unit square is a square whose sides have length 1, so lets use our formula to find the volume of one unit square:



We now know that each one of the squares has area 1 unit squared. Since there are 28 unit square in our figure, we are going to multiply the area of a unit square by 28 to find the area of our figure:
Area of the figure=

units squared
We can conclude that the area of the figure is 28 units squared.
It is $7. Anything average 5 you need to round up
9514 1404 393
Answer:
- Josh: 32 mph, 64 mi
- Greg: 64 mph, 320 mi
Step-by-step explanation:
Let x represent Josh's rate of travel in miles per hour. After 2 hours, his distance is ...
distance = speed · time
distance = x · 2 = 2x
Then 2x is Greg's rate of travel After 5 hours, his distance is ...
distance = speed · time
distance = (2x) · 5 = 10x
The distance they are apart is ...
10x -2x = 256
8x = 256
x = 32
__
Josh's rate: 32 miles per hour; Josh's distance = (2 h)(32 mi/h) = 64 miles.
Greg's rate: (32 mi/h)·2 = 64 mi/h; Greg's distance = (5 h)(64 mi/h) = 320 miles.
<em>__</em>
<em>Check</em>: 320 miles - 64 miles = 256 miles . . . . correct separation
Answer:
todays my birthday
Step-by-step explanation: