Answer:

Step-by-step explanation:
ΔPQS, ΔRQP and ΔRPS are similar (AA). Therefore the sides are in proportion:

We have:

Substitute:
<em>cross multiply</em>

Use the Pythagorean theorem:

Substitute:

Answer:
The equation of the line is,

Step-by-step explanation:
First, you have to write it in a form of y = mx + b :




When both lines are parallel to each other, they will have to same gradient value. So the equation of the line is y = (-2/5)x + b. Next, you have to find the value of b by substutituting (-10,3) into the equation :






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.
Nice to know how long parallelogram is 72 meters :)