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X =12

Step-by-step explanation:

Supplementary Angels means the angles are added up to 180 degrees.

So , <1 + <2 = 180

Given that,

<1 = 2x +6

Now lets find the size of <2.

We know that,

Angles in a Straight line is also added up to 180 degrees.

So,

<2+ < 3 = 180

Let's Solve.

Now we know the size of <2

lets find out the value of x

Let's check whether the answer is correct.

We know that <1 =<3 (Alternative Angles)

Have a nice day

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)

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.