Step-by-step explanation:
If ∠1 and ∠2 are supplementary, then m∠1 + m∠2 = 180° (1).
If ∠2 and ∠3 are supplementary, then m∠2 + m∠3 = 180° (2).
From (1) we have
m∠1 + m∠2 = 180° /<em>subtract m∠1 from both sides</em>
m∠2 = 180° - m∠1
<em>substitute it to </em><em>(2)</em>
(180° - m∠1) + m∠3 = 180°
180° - m∠1 + m∠3 = 180° <em>/subtract 180° from both sides</em>
- m∠1 + m∠3 = 0 <em>/add m∠1 to both sides</em>
m∠3 = m∠1 ⇒ m∠1 = m∠3 ⇒ ∠1 ≅ ∠3
X=16/3 or 5.33333 based on the fact that the angles are congruent
I will not do it all. I will set it up for you.
Area = length times width
A = LW
(9x^2 + 6x - 3) = L(3x - 1)
To find L, divide both sides by (3x - 1) using long division.
After finding L, go back to A = LW but this time use the NEW AREA given to be (9x^2+ 12x+ 3).
Set Up:
(9x^2+ 12x+ 3) = LW
Note: Plug the L you found above into (9x^2+ 12x+ 3) = LW and then solve for W.
Take it from here.
Well, without even looking at it, I can say it's a downwards facing parabola, which roots at x = -3 and x = 5. That should do it.
Answer:
in one hour = 567÷9
= 63
hence, to drive 315 miles he would need = 315×63 hours
divide yourself my dear friend.
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