1. ∠ prs and ∠ rpq are right angles 2. sp is congruent to segment qr 3. pr is congruent to segment pr 4. triangle psr is congruent to triangle rqp 5. ∠ psr is congruent to segment ∠rqp

Given : PS = QR

            ∠PRS = ∠RPQ

            PR = PR (On the same base)

Proof / Reason :

∠PRS = ∠RPQ (R)

PS = QR          (H)

PR = PR           (S)

Therefore, Triangle PRS is congruent to Triangle RPQ

∠PSR = ∠RQP     By  C.P.C.T. ( Congruent Parts Of Congruent Triangles)

Thanks!

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

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