Answer:
1410
Step by step explanation:
<em>2</em><em>/</em><em>5</em><em>x</em><em>=</em><em>5</em><em>6</em><em>4</em>
<em>5</em><em>/</em><em>2</em><em>*</em><em>2</em><em>/</em><em>5</em><em>x</em><em>=</em><em>5</em><em>6</em><em>4</em><em>*</em><em>5</em><em>/</em><em>2</em>
<em>x</em><em>=</em><em>1</em><em>4</em><em>1</em><em>0</em>
<em>Proof</em><em>:</em><em> </em><em>2</em><em>/</em><em>5</em><em>*</em><em>1</em><em>4</em><em>1</em><em>0</em><em>=</em><em>5</em><em>6</em><em>4</em>
Hope it helps <3
The sum would end us as: 2.33333333
Answer:
David earns $10.14 per hour.
Step-by-step explanation:
David earns for an hour = $8.59
He gets benefits package that is equal to 18% of his hourly wages.
18% of 8.59
× 8.59
= 0.18 × 8.59
= $1.5462 ≈ $1.55
David's per hour earning = $8.59 + $1.55 = $10.14
David earns $10.14 per hour.
Answer:
y= -1.5x-7 is the equation of the perpendicular line
Here's why:
when we convert 2x-3y=8 to standard form, we get y= 2/3x-8/3. This means the perpendicular line will have a slope of the negative reciprocal of the original one, so the perpendicular slope is -1.5. When we substitute the points (-2,-4) into the equation y=-1.5x+b, we get a b value of -7. So the perpendicular line equation is y= -1.5x-7. You can't the parallel line equation with the points (-2,-4) as it is part of the line 2x-3y=8.
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°
