Answer:
Tommy had 56 cents in start and Loren had 7 cents in start.
Step-by-step explanation:
Let,
x be the money Tommy have.
y be the money Loren have.
According to given statement;
Tommy had 8 times more money than Loren.
x = 8y Eqn 1
Parents gave 35 cents to Loren and Tommy spent 14 cents, therefore
x-14=y+35 Eqn 2
Putting x=8y in Eqn 2

Dividing both sides by 7

Putting y=7 in Eqn 1

Hence,
Tommy had 56 cents in start and Loren had 7 cents in start.
Answer:
rate of motorboat: b
rate of current: c
So the rate the boat travels upstream is $b - c$, and the rate it travels downstream is $b + c$
Step-by-step explanation:
d = rt
200 = (b - c)\cdot 5
200 = (b + c)\cdot 4
b - c = 40
b + c = 50
Adding these equations, we get:
2b = 90
b = 45
So
c = 50 - 45 = 5
<u>Therefore the rate of the boat is 45kph, and the rate of the current is 5kph</u>
Hope this helps :)
Answer:
HL
Step-by-step explanation:
the shared hypotenuse and congruent legs of the triangle means it is congruent by HL
you might think that SSA is also doable because there is a right angle in both triangles but it is not
a way to remember this is that "there are no donkeys in geometry" because SSA backwards is another word for donkey
D=LM/(R2+R1)
d(R2+R1)<span>=LM
[</span>d<span>(R2+R1)</span>]/M=L
RS points east; R'S' points north, so there has been a rotation 90° CCW.
After that rotation, point S would be at (1, -1). It is actually at (1, 1), so has been shifted 2 units upward.
A sequence that does the desired mapping is
- c. rotation of 90° CCW about the origin
- b. translation 2 units up