Percents is a number out of 100. So basically what you’re going to do here is add up the percents. 40+20+10. Add that up and you get 70. You then subtract 70 from 100. You get 30. So the percentage of red pens is 30%.
The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the two other sides.
That means if you add up the distance from jacksonville to tampa and the distane from tampa to miami, the distance from jacksonville to miami must be less than that.
171 miles + 206 miles = 377 miles
the distance from jacksonville to miami must be less than 377 miles
Answer:
See below.
Step-by-step explanation:
We know that
and we want to prove that
.
Statements Reasons
1)
Given
2)
A) Vertical Angles Are Congruent
3)
B) Substitution Property
4)
C) Alternate Interior Angles Converse*
*We know that alternate interior angles are congruent when two parallel lines are cut by a transversal. So, the converse states that if the two alternate interior angles are congruent, the the two lines must be parallel.
Further Notes:
I'm not sure why they did more than necessary. Since
, they are corresponding angles. Then by the Corresponding Angles Converse, p must be parallel to r.
Answer:
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Step-by-step explanation:
The rise is 1 and the run is 2 so 1/2 since slope is rise over run.