Answer: the speed of the river is 9km/h
Step-by-step explanation:
Let x represent the speed of the river current.
He rides 140 km downstream in a river in the same time it takes to ride 35km upstream. This means that his speed was higher when riding downstream and it was lower when riding upstream.
Assuming he rode in the direction of the river current when coming downstream and rode against the current when going upstream.
time = distance/speed
Manuel has a boat that can move at a speed of 15 km/h
His downstream speed would be
15 + x
time spent coming downstream would be
140/(15 + x)
His downstream speed would be
15 - x
time spent going downstream would be
35/(15 - x)
Since the time is the same, then
140/(15 + x) = 35/(15 - x)
Crossmultiplying
140(15 - x) = 35(15 + x)
2100 - 140x = 525 + 35x
140x + 35x = 2100 - 525
175x = 1575
x = 1575/175
x = 9
Step-by-step explanation:
Area of a parallelogram=base×height
=10×4
=40cm^2
Eighty five million, one hundred nine thousand, one hundred seventy-eight.
Answer:
Step-by-step explanation:
Simplify -12\ 4−12÷4 to -3−3.
-3=-3-8-48,3
−3=−3−8−48,3
2 Simplify -3-8−3−8 to -11−11.
-3=-11-48,3
−3=−11−48,3
3 Simplify -11-48−11−48 to -59−59.
-3=-59,3
−3=−59,3
4 Since -3=-59,3−3=−59,3 is false, there is no solution.
Answer:
Step-by-step explanation:
Let points D, E and F have coordinates 
and 
1. Midpoint M of segment DF has coordinates
2. Midpoint N of segment EF has coordinates
3. By the triangle midline theorem, midline MN is parallel to the side DE of the triangle DEF, then points M and N are endpoints of the midsegment for DEF that is parallel to DE.
