A 30° – 60° – 90° triangle is shown below. Find the value of x.
1 answer:
Answer:
5
Step-by-step explanation:
In a 30-60-90 triangle, the side opposite the 30 degree angle (x) is equal to n, the side opposite the 60 degree angle (y) is equal to n, and the hypotenuse (10) is equal to 2n
knowing this, set 10 = 2n
n = 5
since we want to find x, the side opposite the 30 degree angle, this is equal to n = 5
x = 5
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Try this solution:
let the unknown two-digits number be 'xy'.
Then it is possible to write any two-digit number as 10x+y, where x - the tens digit and y - the unit digit.
Using the rule described above the phrase 'the tens digit of a number is twice the units digit' may be written as x=2y.
Using the same rule the phrase 'if the digits are reversed, the new number is 36 is less than the original number' may be written as (10x+y)-(10y+x)=36.
These two equations may be resolved as system of two equations:
Check: the original number is 84, the new number is 48; difference is 84-48=36.
answer: 84
let the unknown two-digits number be 'xy'.
Then it is possible to write any two-digit number as 10x+y, where x - the tens digit and y - the unit digit.
Using the rule described above the phrase 'the tens digit of a number is twice the units digit' may be written as x=2y.
Using the same rule the phrase 'if the digits are reversed, the new number is 36 is less than the original number' may be written as (10x+y)-(10y+x)=36.
These two equations may be resolved as system of two equations:
Check: the original number is 84, the new number is 48; difference is 84-48=36.
answer: 84