Answer:
Option A. Accurate. The triangles are similar and the congruent angles are listed in corresponding order
Step-by-step explanation:
step 1
In the triangle TRS find the measure of angle T
Remember that
The sum of the interior angles in a triangle is equal 180 degrees
so
substitute the values and solve for <T
so
The triangle DAC is similar to triangle TRS by AA Similarity Postulate (The three interior angles are congruent)
The corresponding angles are
<S=<C
<R=<A
<T=<D
therefore
The triangles are similar and the congruent angles are listed in corresponding order DAC~TRS
<span><span>tan(α)=<span>3x</span>⟹<span><span>dα</span><span>dx</span></span>=<span><span>−3</span><span>9+<span>x2</span></span></span></span><span>tan(α)=<span>3x</span>⟹<span><span>dα</span><span>dx</span></span>=<span><span>−3</span><span>9+<span>x2</span></span></span></span></span><span><span>tan(α+θ)=<span>13x</span>⟹<span><span>dθ</span><span>dx</span></span>+<span><span>dα</span><span>dx</span></span>=<span><span>−13</span><span>169+<span>x2</span></span></span></span><span>tan(α+θ)=<span>13x</span>⟹<span><span>dθ</span><span>dx</span></span>+<span><span>dα</span><span>dx</span></span>=<span><span>−13</span><span>169+<span>x2</span></span></span></span></span><span><span><span>dθ</span><span>dx</span></span>=<span><span>−13</span><span>169+<span>x2</span></span></span>+<span>3<span>9+</span>but the actual answer is you have to use this formula (with respect to </span></span><span>tt</span><span>), not an </span><span>xx</span><span> derivative. So you'll have to take into account that </span><span><span><span><span>dx</span><span>dt</span></span>=3</span><span><span><span>dx</span><span>dt</span></span>=3</span></span><span> ft/sec</span>
A cheetah ran 300 feet in 2.92 seconds. What is the cheetah's average speed in miles per hour
--------------------------------------
(300 ft/2.92 sec)(1 mi/ 5280 ft)(3600 sec/1 hour)
= {300*1*3600 miles)/(2.92*5280*1 hour)
= 91080000 miles/15417.6 hours
= 70.05 mph
Answer:
Step-by-step explanation:
Hope it is helpful...
Answer:
PQ = 20
QR = 15
Step-by-step explanation:
PQ^2 = 16^2 + 12^2
PQ^2 = 400
PQ = √400 = 20
QR^2 = 12^2+9^2
QR^2 = 225
QR = √225 = 15