∆ABC represents a randomly drawn triangle. ∆BCD is an isosceles triangle with sides BC and BD congruent. Point D lies on the line passing through points A and B. Use this information to answer the questions that follow. As the construction shows, the measure of ∠ACD is greater than the measure of ∠BCD. Based on this information, create an inequality involving sides AD and AC and explain your reasoning. Create a sum involving side lengths from ∆ABC that is equal to the length of line segment AD. Explain your reasoning. Create a sum involving side lengths from ∆ABC that is equal to the length of line segment AD. Explain your reasoning. Combine the answers from parts a and b to relate the side lengths of ∆ABC. What theorem does this construction and logic prove?

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

what

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

the answer is 11.2 (i know i’m late)