Answer:
a. connect the point (0 , 3) with A
b. connect the origin (0 , 0) with B
c. For A: y = 0.5x +3
For B: y = 0.5x
Step-by-step explanation:
y = ax + b is the general rule for any straight line
a being the slope and b being the y intercept, a is given to be 0.5
y = 0.5x + b, substitute the coordinates of point A
4 = 0.5 *2 +b hence b = 4 - 0.5 *2 = 4 - 1 = 3
so y = 0.5 x + 3 is the equation of the line passing through A
since the second line that passes through B is parallel to the first, hence it has the same slope of 0.5
same procedure, substitute coordinates of B
2 = 0.5 * 4 + b hence b = 2 - 0.5 *4 = 2 - 2= 0
so y = 0.5 x is the equation of the line passing through B
To write a slope intercept equation you need the slope and the y intercept which is b. The slope of y=x is 1 and to find a perpendicular slope you flip it and make it the opposite sign so in this case is would still be 1\1 but now it will be negative so your slope is -1 and you plug in 2 for x and 2 for y into the equation y=mx+b and m=your slope (which is -1) to find the value of b. so you get y=-1(2)+b. When you solve you get b=4 and then rewrite the intercept slope equation which is y=mx+b and plug in your slope for m and 4 for b so your final answer is y=-1x+4
Answer:
5
Step-by-step explanation:
A triangles angles always add up to 180 degrees, so if you were to subtract the 58 degrees from it that would leave you with 122. and with the 127 degrees all you would have to subtract the 127 from 180 to get 53 degrees which will also be the other given angle. So now you can subtract 53 from 122 leaving you with 69 degrees as your answer!
