Answer:
A) 
Step-by-step explanation:
To isolate 
, we need to divide both sides by 
. Therefore, the answer is .
Its simple
the answer is ........
Answer:
5!=120 ways
Step-by-step explanation:
1st colour 5 ways
2nd colour 4 ways
3rd colour 3 ways
4th colour 2 ways
5th colour 1 way
total no of ways = 5 × 4 × 3 × 2 ×1 =5! = 120 ways
Answer:
in the equation y=mx+b. The equation of the line that has a slope of 0 and a y-intercept of -8 is: y=-8.
Step-by-step explanation:
If the slope of a line is undefined, then the line is a vertical line, so it cannot be written in slope-intercept form, but it can be written in the form: x=a , where a is a constant. If the line has an undefined slope and passes through the point (2,3) , then the equation of the line is x=2 .
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°
