Answer: The slope of DE is 0.5 and the length of DE is 1.6 units.
Explanation: Given that the midpoints D and E of triangle ABC are joined by line segment DE, this line segment DE will be parallel to BC and will measure half of the length of BC according to the midpoint theorem for triangles. Therefore, the slope of DE is
slope of DE = slope of BC = 0.5
since they are parallel, and the length of DE is
length of DE = 0.5 * length of BC = 0.5 * 3.2 = 1.6 units.
Answer:
Step-by-step explanation:
The total number of candies is :
= 42+45+20+32
= 139
Then
we have 45 green out of 139 candies.
Then
Note : 45/139 is already simplified.
9514 1404 393
Answer:
transitive property of equality
Step-by-step explanation:
The transitive property of equality says ...
if a = b and b = c, then a = c.
Here, we can use this form with ...
a = 2x+4
b = y
c = 3x-6
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We have ...
a = b ⇒ 2x +4 = y
b = c ⇒ y = 3x -6
so, ...
a = c ⇒ 2x +4 = 3x -6 . . . . transitive property of equality.
_____
On the other hand, ...
The substitution property of equality says ...
if a = b, we can use b wherever 'a' is seen.
We can use this with ...
a = y
b = 3x -6
and do the substitution in the equation ...
2x +4 = y
Replacing y with its equal, we get ...
2x +4 = 'a' ⇒ 2x +4 = 'b' ⇒ 2x +4 = 3x -6 . . . . substitution property of equality
_____
<em>Additional comment</em>
These are two different ways to say that <em>anything can be replaced by its equal</em>.