Answer:
36 years old (jim)
Step-by-step explanation:
looks like a good ol' word problem!
first, if you don't know what to do, always assign variables
Jim's age: x+9
June's age: x
Alex's age: x-8
we know the sum of their ages which is 82
so, x+9+x+x-8=82
simplify
3x+1=82
3x=81
x=27, but we're not done yet
Now we know x
jim: 36
june: 27
Alex: 21
so the oldest is jim at 36
Hello from MrBillDoesMath
Answer: 6.2 feet
Discussion:
The ladder and the wall form a right triangle. The length of the ladder, 20 in this case, is the hypotenuse of the triangle. Let "x" be the distance between the foot of the ladder and the building. Then from trigonometry,
cos (@) = length of adjacent side/ hypotenuse
or in our case
cos(72) = x / 20 => (multiply both sides by 20)
20 * cos(72) = x.
Using a calculator this becomes
20 * ( .3090) = 6.18 feet (approx) or 6.2 feet , rounded to the nearest foot.
Thank you,
Mr. B
Answer:
A
Step-by-step explanation:
These triangles are first off congruent, because the only value that is changing, is the negative sign in front.
This negative sign means that the triangle is being rotated to a different quadrant of the graph, so the answer is A.
