Answer:
Becky, because her reason I'm step 2 does not justify her 2ndbstatement.
Step-by-step explanation:
Two angles which add up to give 180° are said to be defined as supplementary angles.
The Definition of Supplementary Angles is the most appropriate statement to justify the second statement in the proof, as written by Angie, compared to the Angle Addition Postulate stated by Becky.
The Angle Addition Postulate does not justify why the two of angles both equal 180°. According to the Angle Anldditiin Postulate, sum of 2 angles that share the same side can does not necessarily have to be 180°. It could be less than or greater than 180°.
Therefore, Becky completed her proof incorrectly.
Answer:
125
Step-by-step explanation:
it is the multiflication of 5 by itself 3 times (5×5×5=125)
Answer:
Step-by-step explanation:
Set up two equations with the information given-- and things you know from experience: a penny is worth 1 cent and a nickel is worth 5 cents. $ 2.38 is 238 cents (so you can eliminate decimals for now)
Put those values into an equation about the total value:
p + 5n = 238
and you know the total number of coins is 66.
p + n = 66
get a value for p by "solving" (subtract n from both sides)
p = 66-n
Substitute that value for p in the first equation. Then solve.
(66 -n) + 5n = 238
4n = 238-66 Then isolate n by dividing both sides by 4
n = 172/4
n = 43 Substitute that in the second equation, then solve for p
p + 43 = 66 p = 66 - 43
p = 23
So Chuck has 23 pennies and 43 nickels
Answer:
We have to prove Δ ABO ≅ Δ CDO or, Δ DAO ≅ Δ BCO.
Step-by-step explanation:
Let us assume that ABCD is a parallelogram having diagonals AC and BD.
We have to prove that in a parallelogram the diagonals bisect each other.
Assume that the diagonals of ABCD i.e. AC and BD intersect at point O.
Therefore, to prove that the diagonals AC and BD bisect each other, we have to first prove that Δ ABO and Δ CDO are congruent or Δ DAO and Δ BCO are congruent.
In symbol, we have to prove Δ ABO ≅ Δ CDO or, Δ DAO ≅ Δ BCO. (Answer)