Answer:
refer to explanation
Step-by-step explanation:
the lengths of the base and height are the factors of 20
so they can be 5×4, 10×2, 1×20
The solution to the equation is x = -5
<h3>How to determine the value of x?</h3>
The equation is given as:
the quantity 2x minus 20 divided by 3 = 2x
Rewrite properly as
(2x - 20)/3 = 2x
Multiply through by 3
2x - 20 = 6x
Collect like terms
6x - 2x = -20
This gives
4x = -20
Divide by 4
x = -5
Hence, the solution to the equation is x = -5
Read more about equations at:
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Answer: The Numbers are 15 and 39
Step-by-step explanation: 2(15) + 9 = 39
12x²-9x = 0
3x(4x-3)=0
4x-3=0
4x=3
x=3/4
so either x = 0 or x = 3/4
Answer:
x = 4 sqrt(2)
Step-by-step explanation:
This is a right triangle so we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = 4/x
Multiply x to each side
x sin 45 = 4/x *x
x sin 45 = 4
Divide each side by sin 45
x sin 45 / sin 45 = 4 /sin 45
x = 4/ sin 45
We know sin 45 = sqrt(2)/2
x = 4/ sqrt(2) /2
x = 8/ sqrt(2)
We do not leave a sqrt in the denominator so multiply by sqrt(2)/ sqrt(2)
x = 8/ sqrt(2) * sqrt(2)/sqrt(2)
x = 8 * sqrt(2) /2
x = 4 sqrt(2)