Two professors in the mathematics building have offices that are consecutive odd numbers with a sum of 14,920. what are the office numbers of these two professors?

1st odd: 7459

2nd odd: 7461

Step-by-step explanation:

Let two consecutive odd numbers are x and y

First odd number: x

First second odd numver: y = x + 2------eq(1)

x  + y = 14920

x + x + 2 = 14920------From eq(1)

2x = 14920 - 2

2x = 14918

x =

x = 7459

y = 7459 + 2 = 7461----- put x in eq(1)

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

< 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⭐