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:
Answer = 126 square inches
Step-by-step explanation:
Square area formula is Area = s^2 (replace the s with the side length)
Square area --> Area = 4^2 Area = 16in
Parallelogram area formula is Area = h * b (replace h with height length and replace b with base length)
Parallelogram area --> Area = 3.5 * 10 Area = 35
Rectangle area formula is Area = w * h (replace width and height)
Rectangle area --> Area = 12.5 * 6 Area = 75
Then add them all up 75 + 35 + 16 = 126 square inches
Answer:
6.5
Step-by-step explanation:
first subtract 7 from both sides
2x=13
next divide both sides by 2
x=6.5
22.4/4 = 5.6 cm
5.6^2 = 31.36 cm^2 per side
Since the later surface area only counts for 4/6 sides on the cube, (31.36)(4) = 125.44 cm^2
