Answer:
Given: It is given that and .
To Prove: ABCD is a parallelogram.
Statements
1. and
Reason: Given
2. are alternate interior angles
Reason: Def of alternate interior angles
3.
Reason: Alternate interior angles are congruent
4.
Reason: Reflexive property
5.
Reason: SAS congruency theorem
6.
Reason: Corresponding Parts of Congruent triangles are Congruent (CPCTC)
7. ABCD is a parallelogram
Reason: Parallelogram Side Theorem
Step-by-step explanation:
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Given that Erica and AAron,are using lottery system to decide who will wash dishes every night.
They put some red and blue power chips and draw each one. If same colour, Aaron will wash and if not same colours Erica will wash
If the game is to be fair, then both should have equal chances of opportunity for washing.
i.e. Probability for Erica washing = Prob of Aaron washing
i.e. P(different chips) = P(same colour chips)
Say there are m red colours and n blue colours.
Both are drawing at the same time.
Hence Prob (getting same colour) = (mC2+nC2)/(m+n)C2
Probfor different colour = mC1+nC1/(m+n)C2
The two would be equal is mC2 +nC2 = m+n
This is possible if mC2 =m and nC2 = n.
Or m = 2+1 =3 and n =3
That for a fair game we must have both colours to be 3.
The difference of five and negative 7.
<span><span>
1.
</span>Which becomes 5 – (-1) = 6. Such that 5 + 1 = 6.</span>
The total number of fruits available.
Three hundred apples
minus thirty oranges.
<span><span>1.
</span>300 – 30 = 270 fruits</span>
The room temperature of thirty degrees Celsius has risen to
fourty-five degrees Celsius. What is the difference of the final and initial temperatures?
<span><span>
1.
</span>45 – 30 = 15</span>
When the ball rose with an acceleration of 2 m/s2 what is
the difference between the ball’s acceleration and the gravitational force that
acted on it?
<span><span>
1.
</span>-10 - 2 = -12 </span>
Answer:
2.
Step-by-step explanation:
The common difference is 5 so the first number is 7 - 5 = 2.
