If the measure of angle 2 is (5x+12) and angle 3 is (7x-14), what is the measure of angle 1 in degrees?

35x^2+14x-168

Step-by-step explanation:

Answer with explanation:

The sum of measures of three angles of triangle is 180°.

→∠1+∠2+∠3=180°

→∠1+(5x+12)°+(7x-14)°=180°

→∠1+(5x+7x)+(12-14)°=180°

→∠1+12 x-2°=180°

→∠1=180°+2°-12 x

→∠1=182°-12 x

That is ,Third Angle =182°-12 x

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)