Roberto debe leer un libro que contiene 340 páginas en 4 días por lo cual planea la siguiente distribución: el primer día 1/5 de las páginas del libro, el segundo 1/4 de lo que queda por leer y el tercero 1/6 del resto. ¿Cuántas páginas le quedan por leer a Roberto en el cuarto día?

170 pages

Step-by-step explanation:

Roberto must read a book that contains 340 pages in 4 days for which he plans the following distribution

The number of pages he read for the first day :

The first day 1/5 of the pages of the book

This is calculated as:

1/5 × 340 pages

= 68 pages

For the second day:

The second 1/4 of what remains to be read

The number of pages remaining after the first day is calculated as:

340 - 68 = 272 pages

Hence, the number of pages read on the second day is

1/4 × 272 pages

= 68 pages

For the third day

One the third day, 1/6 of the rest was read.

The number of pages remaining after the first day is calculated as:

272 - 68 = 204 pages

Hence, the number of pages read on the third day is

1/6 × 204 pages

= 34 pages

Therefore, the number of pages Roberto has to read on the fourth day is calculated as:

340 pages - (68 + 68 + 34)pages

340 pages - 170 pages

= 170 pages

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

step-by-step explanation: