The incorrect step in Talia's solution is the step 4 which is "step 4 is incorrect because it shows and incorrect substitution of slope value into the point-slope form". The correct steps are as follow:
step 1: choose a point on the line which is (2,5)
step 2: choose another point on the line which is (1,3)
Step 3: determine the slope which is m = rise / run. The line runs 1 unit and rises 2 units so the slope is m = 2/1
step 4: substitute point on the line (2,5) and the slope of the line such as:
y-y1 = m (x-x1)
y-5 = 2 (x-2)
This is the correct steps.
Answer:
12 3/4 same slope fro both
13 DE = 5, CB = 10
14 see below
Step-by-step explanation:
12. the slopes are the same
D(0, 3) E(4, 6) slope is (change in y)/(change in x)
change in y = 3 to 6 is a change of +3
Change in x = 0 to 4 is a change of +4
slope is 3/4
13 To fine lengths you can distance formula or Pythagorean theorem (spoiler: they are related to each other)
DE² = 3² + 4²
DE² = 9 + 12
DE² = 25
√DE² = √25 = 5
DE = 5
and
CB² = 6² + 8²
CB² = 36 + 64
CB² = 100
√CB² = √100 = 10
CB = 10
14. since the slopes are the same are DE is 1/2 or CB its is the mid segment. because (taken from mathopenref.com/trianglemidsegment.html)
The midsegment is always parallel to the third side of the triangle. In the figure above, drag any point around and convince yourself that this is always true.
The midsegment is always half the length of the third side. In the figure above, drag point A around. Notice the midsegment length never changes because the side BC never changes.
A triangle has three possible midsegments, depending on which pair of sides is initially joined.
20% is the same as saying 0.2, so if you multiply 0.2 by 240, you should get your answer. Or an alternate way of seeing it is 2 times 24.
