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The answers are given below.

Step-by-step explanation:

7. EFGH is a rectangle. Slope of HE is

So, the slope of EF is

                                  =

8 .PQRS is a square.

So, m∠QSR = 45°

[since the diagonals bisect the internal angles of a square]

9. m∠PTQ = 90°

[since the diagonals of a square intersect each other at right angles]

10. RT = 24 unit ,

so,

PR = unit

     = 48 unit    [since the diagonals of a square bisect each other]

So, SQ = PR = 48 unit

[since the diagonals of a square are equal]

11. Yes, a squae is a rectangle

12. Since RSTU is a rectangle,

so, ∠RUS + ∠SUT = 90°

⇒3x + 6 + 5x - 4 = 90°

⇒x = 11°

So, ∠RUS = 3x + 6 = 39°

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

the highest percentage for deaths in construction from highest to lowest is as follows: falls, struck by objects, electrocution, and caught-in/between. these four are collectively known as fatal four.

in the case of falls, the type that is responsible for the overall highest death in the category is falls from roofs.