Answer:
X is 36 and y is 48.
Step-by-step explanation:
So a couple of things here: both triangles are equal, and triangles always add up to 180 degrees. If we do some math:
180-108-48=24
This means that 2x-y needs to equal 24. We know what y is, it's 48 since both triangles are equal. Lets do some more math to find x.
48+24=72
72 divided by 2 = 36. 36 is the answer for x.
Distance = (rate)(time)
In this problem, note that both girls traveled the same distance.
Karens distance = r * 1.5 hrs we dont know her rate
Nancy distance = 50 * 1 hr we know she started 30 min later
but arrived at the same time
since the distances are equal
r*1.5 = 50 * 1 all you have to do is solve for r
1.5r = 50
r = 50/1.5
r = 33 1/3 miles per hour
158, because to solve this question we first need to know the formula for finding the surface area of a rectangular prism which is A=<span>2<span>(<span><span><span>wl</span>+<span>hl</span></span>+<span>hw</span></span><span>) then you just need to input the numbers like so A=2(5*3+8*3+8*5) then when you simplify this down you get A=2(79) then distribute like so so A=158
Enjoy!=)</span></span></span>
The minimum speed will be calculated as follows:
Time taken from Toledo to Elkhart=(8.15-5.45)=2 1/2 hours
Distance=136 miles
thus the speed between Toledo and Elkhart= 136 miles/2.5=54.4 mph
Distance between Toledo and Chicago is 244 miles
Distance between Elkhart and Chicago=244-136=108 miles
time taken to travel between Elkhart and Chicago assuming that I left Elkhart at exactly 8:15 and reach at 10.30:
=10:30-8:15=2.25 hours
thus the speed will be:
speed=(108)/(2.25)=48 mph
Thus for us to get to Chicago by 10:30 a.m we should drive at 48 mph