Answer:
1 and 2.
Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.
- D= (-2, 2), E = (-1, -2), F = (-4, -1)
3.
As per definition, midsegment is parallel to a side.
Parallel lines have same slope.
<u>Find slopes of FD and CB and compare. </u>
- m(FD) = (2 - (-1))/(-2 -(-4)) = 3/2
- m(CB) = (1 - (-5))/(1 - (-3)) = 6/4 = 3/2
- As we see the slopes are same
<u>Find the slopes of FE and AB and compare.</u>
- m(FE) = (-2 - (- 1))/(-1 - (-4)) = -1/3
- m(AB) = (1 - 3)/(1 - (-5)) = -2/6 = -1/3
- Slopes are same
<u>Find the slopes of DE and AC and compare.</u>
- m(DE) = (-2 - 2)/(-1 - (-2)) = -4/1 = -4
- m(AC) = (-5 - 3)/(-3 - (-5)) = -8/2 = -4
- Slopes are same
4.
As per definition, midsegment is half the parallel side.
<u>We'll show that FD = 1/2CB</u>
- FD =
= 
= 
- CB =
= 
= 2 - As we see FD = 1/2CB
<u>FE = 1/2AB</u>
- FE =
= 
= 
- AB =
= 
= 2 - As we see FE = 1/2AB
<u>DE = 1/2AC</u>
- DE =
= 
= 
- AC =
= 
= 2 - As we see DE = 1/2AC
X fourths minus seventeen
Answer:
Option C)
Step-by-step explanation:
Here we are given with the expression 
The GCF of 
and 12 is 3
Hence we take 3 as GCF and bring it in front of the bracket.
It can not be factorise furthure as there is no GCF of 25 and also there is no rule for sum of squares so that we may apply it on this. Hence the answer would be
Option C)
Answer:
2, 4
Step-by-step explanation:
Ok so for this you have to substitute. y=4 so you put a 4 where the y is. This becomes
4 - 3x = -2 We can already rule out (2,2) and (4,2) Why? Because the y is not a 4. So it’s gonna be either (0,4) or (2,4). Now, we have to find x. We have to isolate it. You do this by subtracting 4 from both sides.
4 - 4 - 3x = -2 - 4 Now Simplify
-3x = -6 Why -6? Because you can’t subtract a positive from a negative so it becomes -2 + -4. Since they are both negatives, you just add them together, then put the negative sign.
Now divide -3 from both sides. Which becomes
x = 2
Answer
15
Step-by-step explanation:
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