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:
89
Step-by-step explanation:
= √ 64 +9²
=8 +81
=89
Edward sliced 6 chocolate cakes and 12 lemon cakes
I believe the answer is 4
We are given that each bag of trail mix consumes 2.3 oz of nuts. To know the amount of bags of trail mixes that can be made using 27.6 oz of nuts, all we have to do is cross multiplication as follows:
2.3 oz of nuts ............> 1 bag of trail mix
27.6 oz of nuts ...........> ?? bag of trail mix
number of bags = (27.6*1) / 2.3 = 12 bags
