Answer:
x=25 =18
Step-by-step explanation:
Right angle =90°
you are given 40, therefore 2x has to equal up to 50.
2x=50 divide both sides by 2
x=25
straight line=180°
you are given 90, therefore 5y has to equal to 90.
5y=90
divide both sides by 5
y=18
5x - 4y = 7
x = 5 - y
5(5 - y) - 4y = 7
25 - 5y - 4y = 7
-5y - 4y = 7 - 25
-9y = - 18
y = -18/-9
y = 2 <== y coordinate is 2
11.8 x 5.8= 68.44
now to find the length of the other side of the triangle,
11 - 5.8= 6
6 x 7.5= 45 ÷ 2= 22.5
22.5 + 68.44= 90.94
The solution of the given equation is -6 and 1.
<h3>What is Quadratic Equation?</h3>
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given equation:
(x+2)(x+3) = 12
x(x+3)+2(x+3) = 12
x² + 3x + 2x + 6 = 12
x² + 5x + 6 - 12 = 0
x² + 5x - 6 = 0
x² + 6x - x - 6 = 0
x(x+6) -1(x+6) = 0
(x+6)(x-1) = 0
Now, x + 6 = 0 or x - 1 = 0
x = -6 or x = 1
Thus, the solution of the given equation is -6 and 1.
Learn more about Quadratic Equation from:
brainly.com/question/17177510
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Answer: First option.
Step-by-step explanation:
You know that the product obtained by multiplying a binomial and a trinomial is:

Then, in order to simplify this product, it is necessary to add the like terms.
Therefore, the expression that is equivalent to this product after it has been fully simplified is:

You can observe that this matches with the first option.