Hi ! The answer would be 91.44
First step:
19 1/4= 19.25
9 1/2= 9.5
Second step:
19.25 times 9.5=182.875
Third step:
182.875 divided by 2=91.4375
91.4375~91.44
The labeled angles are both equal to c by the corresponding angles theorem.
Thus, a+b=c by the exterior angle theorem.
<span>Two trains start heading toward each other from two cities, the distance between which is 720 km, and meet right in the middle.
The second train left 1 hour after the first train, but traveled at a speed 4 km/hour faster than the first train.
Find the speed of both trains.
:
If they met half-way, each train traveled 360 mi
let s = speed of the slower train
then
(s+4) = speed of the faster train
:
Write a time equation
Slow train time - fast train time = 1 hr
- = 1
multiply equation by s(s+4), cancel the denominators</span>360(s+4) - 360s = s(s+4)<span>360s + 1440 - 360s = s^2 + 4s
A quadratic equation
0 = s^2 + 4s - 1440
Use the quadratic formula; a=1; b=4; c=-1440. but this will factor to:
(s-36)(s+40) = 0
positive solution
s = 36 mph, speed of the slow train
then obviously;
40 mph, the speed of the faster
:
:
Check this by finding the actual time of each
360/36 = 10 hrs
360/40 = 9 hrs, 1 hr less</span>
Hey There Baby and, Welcome to Brainly
<span>Which equation has the same solution as x²- 6x - 12 = 0
</span><span> x^2 - 6x = 12 </span>
<span>
x^2 -6x + 9 = 12+9 </span>
<span>
x^2 -6x + 9 =21 </span>
<span>
(x-3)^2 = 21
</span>
So the answer will be <span>(x-3)^2=21 </span>
Answer:
B._________________________
