Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

9514 1404 393

  x = 14°

  y = 5°

Step-by-step explanation:

Angle COL is complementary to both 25° (∠AOC) and 5y (∠LOM). Then it must be true that ...

  5y = 25°

  y = 5° . . . . . . divide by 5

__

Similarly, angle MOB is complementary to angle LOM, so ...

  90° -25° = 3x +23°

  42° = 3x . . . . . subtract 23° and simplify

  14° = x . . . . . .  divide by 3

The values of x and y are ...

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.