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°
Answer:
yes
Step-by-step explanation:
5x-7+3x =8x-7
3x-7+5x=8x-7
Answer:
70%
Step-by-step explanation:
Maths homework takes 1/6×150mins
=150/6=25 mins
science homework takes 20/100×150
=3000/100
=30mins
Language Arts homework uses 1/3×150
=150/3
=50 mins
percent of time left for Marsha's social studies homework=total time used / original time
=(25+30+50)mins
=105mins/150mins×100%
=0.7×100
=70%
Answer:
Step-by-step explanation:
If you look at the objects thrown as garbage, it's a two- or three-dimensional item that takes up space and also has mass and this is a solid waste.
And the landfill that dumps such garbage is also three-dimensional.
Hence, the volume module, if the object inside is a solid, either would be
As household numbers rise, landfill space increases.
So,
If H represents the number of household keeps, then it will be a sufficient unit for the purpose of Sophia that is
