In then figure figure , we consider two triangle ΔPCD and Δ RCD in which
∠P ≅ ∠R = 90°
PD≅RD =11
CD≅CD [Reflexive Property]
Hence, By HL theorem we have
ΔPCD ≅ Δ RCD
[ HL theorem says that if the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of other right triangle, then the triangles are said to be congruent.]
First let's define variables: r: reading s: skimming We write the system of equations that adapts to the problem: r + s = 275 (15/10) r + (10/15) s = 355 We solve the system of equations: r = 206 s = 69 Note: see attached image for system solution. Answer: Jayden had to skim 69 pages through