In the diagram below of triangle ABCABC, DD is the midpoint of \overline{AC}ACand EE is the midpoint of \overline{BC}BC. If DE=34-6xDE=34−6x, and AB=28-4xAB=28−4x, what is the measure of \overline{DE}DE?

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis:

b. b < 1 might be the correct answer

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step-by-step explanation:

hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45