Find m∠T if △PQR≅△STU

, m∠P=x2+10x−14

, m∠S=8x+10

, and m∠R=7x−5

Algebra setup for x :
Factors (should look like ( )( ) = 0 :
x= __
m∠T= __

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.