Angle 1 and angle 2 are a linear pair, and angle 2 and angle 3 are vertical angles. Measure of angle 1 = (3y + 10) degrees and measure of angle 3 = (5y - 30)degrees. What is the measure of angle 2?

Step-by-step explanation:

The sum of angles that form a linear pair is 180°. If angle 1 and angle 2 are a linear pair, then the sum of both angles is equal to 180°.

angle 1 + angle 2 = 180° ... 1

If two angles are vertical angles , this means that both angles are equal.  Therefore if angle 2 and angle 3 are vertical angles, then both angles are equal i. e angle 2 = angle 3 = (5y - 30)°

Given angle 1 = (3y + 10)° and angle 2 = (5y - 30)°

Substituting this angles into equation 1 to get the value of y;

(3y + 10)°+(5y - 30)° = 180°

3y+5y+10-30 = 180

8y-20 = 180

8y = 180+20

8y = 200

y = 200/8

y = 25°

To get the measure of angle 2, we will substitute y = 25° into the equation angle 2 = (5y - 30)°

angle 2 = 5(25) - 30

angle 2 = 125 - 30

angle 2 = 95°

6 spoons of sugar for every 21 cups of flour

step-by-step explanation:

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.