Answer:
The correct option is x=3 , y=2
Step-by-step explanation:
According to the HL theorem if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
Now we will plug the value y+1 of equation 1 in equation 2.
2x+3 = 3y+3
2(y+1)+3=3y+3
2y+2+3=3y+3
2y+5=3y+3
Now combine the like terms:
5-3=3y-2y
2=y
y=2
Now plug the value y=2 in equation 1.
x=y+1
x=2+1
x=3
Thus the values of(x.y) are{(2,3)}
Therefore the correct option is x=3 , y=2 .....
Answer:
length = x - 2
Step-by-step explanation:
Area (A) of rectangle = lw ( l is the length and w the width )
A = x² - 7x + 10 = (x - 2)(x - 5) ← in factored form
l =
= 
cancel the factor (x - 5) on the numerator/ denominator, hence
l = x - 2
To visualize better, look at it like this:

First, see if you can simplify 3/2. You can't, so leave it like that.
The rule for exponents is you subtract the exponent from the bottom (r) from the exponent on the top (
)

Put that on the top, and you get
