The Pyth. Thm. tells us the following: (hypo)^2 = (leg 1)^2 + (leg 2)^2.
Here the hypo is 75 miles. One train traveled x miles and the other x+10 miles.
applying the Pyth. Thm.,
x^2 + (x+10)^2 = 75^2
which becomes x^2 + x^2 + 20x + 400 = 5625, or
2x^2 + 20x - 5225 = 0.
Choose a method easy for you that will lead to a solution (x-value).
Using "completing the square," I obtained x= 47.8 miles and x = 57.8 miles. I
It's very important to check one's work. Suppose x = 47.8 miles. Then x+10 = 57.8 miles.
47.8^2 + 57.8^2 = 75^ must be true. Is it?
2284.84 + 3340.84 5625
5625.6 is approx equal to 5625. Close enough.
The first train traveled 47.8 miles and the second 57.8 miles.
Answer:
Perimeter = AB + AC + BC = 26.55 units
Step-by-step explanation:
The perimeter of a triangle is the sum of lengths of all sides.
Here we have a right triangle, right-angled at C
angle B = 46°
AB = 11
We continue to calculate
AC = (11)sin(46°) = 7.91
BC = (11)cos(46°) = 7.64
Perimeter = AB + AC + BC = 26.55 units
You would do 163 ÷ 9 and you will get your answer
550,000 or 600,000
780,573 estimates to 780,000 or 800,000
229,615 estimates to 230,000 or 200,000
780,000-230,000=550,000
or
800,000-200,000=600,000
Answer:
the first one as you can see they are the same patterns. eule r circuit starts at the edge and end at same vertex. clue look at the drawing you can find triangles like bcd, b,e d . d,ef.