Thevalueof x is 28.To find the value of x intrianglesARP and CRD, you can use the property of similar triangles. Triangles ARP and CRD are similar because they share an angle and have their corresponding sides proportional. In particular, angle ARP is congruent to angle CRD.Let's set up a proportion to find the value of x:In triangle ARP, we have:AR/CR = AP/DPIn triangle CRD, we have:CR/RD = CP/DPWe know the followingvalues:AP = 10 (given that AC = 10)DP = 15RD = 42Now, let's set up the proportions:From triangle ARP:AR/x = 10/15From triangle CRD:x/42 = 10/15Now, solve for x in bothproportions:AR/x = 10/15AR/x = 2/3Cross-multiply:3AR = 2xNow, solve for AR:AR = (2x)/3x/42 = 10/15Cross-multiply:15x = 420Now, solve for x:x = 420/15x = 28So, the value of x is 28.for such more question ontrianglesbrainly.com/question/1058720#SPJ3...

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