The triangle is not a right triangle. This is because the sum of the square of the two shorter lengths is not equal to the square of the longest length.
<h3>Is the triangle a right triangle?</h3>
In order to determine if the triangle is a right triangle, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
where a = length
b = base
c = hypotenuse
12 ² + 24²
= 144 + 576 = 720
29² = 841
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Answer:
a(x)=2x^2+9x+4
Step-by-step explanation:
We have been given the length and width, as well as the formula to find the area:
Length: 2x + 1
Width: x + 4
A = l * w
A = (2x + 1)(x + 4)
2x^2 + 8x + x + 4
We can add like terms now:
2x^2 + 9x + 4
Our area is 2x^2 + 9x + 4
Our answer would be a(x)=2x^2+9x+4
Let us represent number of one person tubes rented by x and, number of cooler tubes rented by y As per the situation, total tubes are 15, hence x + y = 15 equation 1 Also, total expenditure on tubes is $270, therefore 20x + 12.5y = 270 equation 2 Linear equation written above, equation 1 and equation 2 represent given situation. Now, let us solve these equations to find number of tubes rented Multiplying equation 1 by 20 and subtracting equation 2 from it, we get 20x + 20y - 20x -12.5y = 300 - 270 7.5y = 30 y = 4 and from equation 1, x + 4 = 15 gives, x = 11 Therefore, number of person tubes = 11, number of cooler tubes = 4
Answer:
x = 23
Step-by-step explanation:
5x - 9 and 2x + 60 are corresponding angles and are congruent , so
5x - 9 = 2x + 60 ( subtract 2x from both sides )
3x - 9 = 60 ( add 9 to both sides )
3x = 69 ( divide both sides by 3 )
x = 23
Answer:
n = 9
Step-by-step explanation:
Using index laws, multiply 3 into 3 to get 9
(x3)^3 = x^n
x^9 = x^n
9 = n
