Prove that angle ADC is congruent to angle CBA

with solution!

In the diagram below, tan θ = sqrt 3. what is the value of m?

Is the square root of 4 plus the square root of 16 rational?

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.