![peachijmin](/avatars/34757.jpg)
peachijmin
09.07.2019 •
Mathematics
The length of the longer leg of a right triangle is 19 inches more than five times the length of the shorter leg. the length of the hypotenuse is 20 inches more than five times the length of the shorter leg. find the side lengths of the triangle.
Solved
Show answers
More tips
- H Health and Medicine Headache: A Comprehensive Guide to Treatment...
- G Goods and services Stock center - a modern way of optimizing logistics...
- F Food and Cooking How to Properly Wash a Down Jacket? Tips from Experts...
- C Computers and Internet Thin Client: What It Is and Why You Need It?...
- F Food and Cooking The Most Delicious and Simple Fish in Batter Recipe...
- F Food and Cooking Red Caviar: How to Choose the Best?...
- C Computers and Internet Clearing Cache: How to Speed Up Your Browser...
- S Style and Beauty How are artificial nails removed?...
- S Style and Beauty Secrets of Tying a Pareo: 5 Ways...
Answers on questions: Mathematics
- M Mathematics What is the simplified form of the quantity of x plus 4, all over the quantity of 7 − the quantity of x plus 3, all over the quantity of x plus 5?...
- M Mathematics How can you use a bar diagram to check your solution in a ratio problem...
- M Mathematics Is the greatest product of a 3 digit number & a 1 diget number is 8,891 ?...
- M Mathematics Peter sells cards in packs of 12 and envelopes in packs of 27. if martha wants the same number of each, what is the minimum number of cards that she will have to buy?...
- M Mathematics Find the unit rate of miles per hours of a plane that travels 3610 miles in 33.5 hours...
- M Mathematics Which one has a value of 2/3 1- [8+(24÷12)]×4= 2- 8+24÷12×24 3- 8+(24÷12)×4 4- (8+24)÷(12×24)...
- M Mathematics Tom ate 4/5 of a 300g bar of chocolate . how many grams of cholate did he eat and how do u work out plzz show me...
- M Mathematics How is it to write numbers in different ways?...
- M Mathematics How do you work out the fraction of 44\160?...
- M Mathematics Nine out of 25 students finish their work early on tuesday.what percentage of the class finish their work early?...
Ответ:
short leg: x
long leg: 5x + 19
hypotenuse: 5x + 20
(short leg)² + (long leg)² = hypotenuse
(x)² + (5x + 19)² = (5x + 20)²
x² + 25x² + 190x + 361 = 25x² + 200x + 400
x² - 10x - 39 = 0 subtracted 25x², 200x, and 400 from both sides
(x - 13)(x + 3) = 0
x - 13 = 0 , x + 3 = 0
x = 13 x = -3 length cannot be negative so disregard -3
long leg: 5x + 19 = 5(13) + 19 = 65 + 19 = 84
hypotenuse: 5x + 20 = 5(13) + 20 = 65 + 20 = 85
short leg = 13, long leg = 84, hypotenuse = 85
Ответ:
54 students
Step-by-step explanation: