Pythagorean theorem states that:
c^2=a^2+b^2
where:
c=hypotenuse
a and b are the legs
this implies that, a and b are shorter than c; thus to find the Pythagorean theorem we look for values that satisfy the above equation, where c is the longest side.
17^2=15^2+9^2
thus (17,15,9) are Pythagorean triple.
13^2=5^2+12^2
Thus (5,12,13) are Pythagorean triple
12^2≠6^2+8^2
Thus they are not Pythagorean triple
6^2=5^2+3^2
Thus (3,5,6) are not Pythagorean theorem.
Answer:
9) 130° (vertical to 130°)
10) 50° (supplementary to 130°, 180° - 130° = 50°)
11) 130° (alternate exterior to 130°)
12) 130° (vertical to 130°)
Step-by-step explanation:
Number 4 is C... 21
To complete the question, make the equation 5x + 15 + 3x - 3 = 180 because of supplementery angles.
Just solve for x to get 21.
Number 5 is C... 120
To complete this question, sub 21 in for X in the equation 3x - 3 to get 60. Subtract 60 from 180 to get 120.
Y=x2-1 is not a linear equation only because for it to be an linear equation it would have to be 2x-1=y or y=2x-1
Answer:
the number is 5
Step-by-step explanation:
We have to find the equation to solve the problem.
Let the number be x
lets write one more than seven times the difference of a number and 4 in mathematical form
1. Difference of number and 4 will be written as x - 4
now
2. seven times the difference of a number and 4 will be written as
7*( x - 4)
3. one more than seven times the difference of a number and 4 is expressed as
1 + 7*( x - 4)
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1 + 7*( x - 4) is equal to twice the difference of the number and 1
4. difference of the number and 1 is x - 1
5. twice the difference of the number and 1 is 2*(x-1)
Thus,
1 + 7*( x - 4) = 2*(x-1)
=> 1 + 7x - 28 = 2x -2
=> 7x - 27 = 2x - 2
adding 27 both sides
=> 7x - 27 + 27 = 2x - 2 + 27
=> 7x = 2x + 25
subtracting 2x from both sides
7x -2x = 2x + 25 - 2x
=> 5x = 25
dividing both side by 5
5x/5 = 25/5
x = 5
Thus, the number is 5 answer
