The longer leg of a right triangle is 1 m longer than the shorter leg. the hypotenuse is 9 m longer than the shorter leg find the side lengths of the triangl

Let be the length of the shorter leg.

The other leg is 1m longer, so its length is

The hypothenuse is 9m longer, so its length is

The pythagorean theorem states that the sum of the squares of the legs is the square of the hypothenuse, so we have

Expanding the squares gives

Move all to the left hand side:

This equation has solutions and

We can't accept the first solution, because it would lead to the side lengths

And we can't have negative side lengths.

The other solution is fine, because it leads to the side lengths

So, the side lengths are 20 (shorter leg), 21 (longer leg), 29 (hypothenuse)

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves