Answer:
My proof is in the explanation.
Step-by-step explanation:
This is a two-column proof.
One column for statements and the other for the reason for that statement.
Hopefully it shows up well on your screen. Let me know if it doesn't.
Statement | Reason
1) CD is the perpendicular 1) Given
bisector of AB
2) AD=DB 2) Definition of bisector
3) CD=CD 3) Reflexive property
4) mAngleCDA=90 4) Definition of perpendicular
5) mAngleCDB=90 5) Definition of perpendicular
6) mAngleCDA=mAngleCDB 6) Substitution property
7) Corresponding parts of each 7) SAS
triangle are congruent (side-angle-side)
8) AC=CB 8) The two triangles are ............................................................................congruent so
the corresponding parts ............................................................................are
congruent.
Answer:
Aisha has 24 2p coins and 24 1p coins, then she has in total:
2p*(24) + 1*p*(24) = 48p + 24p = 72p
Step-by-step explanation:
Suppose that we have a set of N elements in a bag (if the bag is closed and we put our hand inside to grab one element, we could not distinguish them apart), and K of these elements have a given property (for example, these are red).
The probability of selecting at random one of these red elements is equal to the quotient between the number of elements with that property (K) and the total number of elements in the bag (N)
P = K/N
Now let's go to our problem.
We have 24 1p coins.
We have X 2p coins.
Then the total number of coins is: (24 + X)
We know that the probability of choosing at random a 2p coin is then:
P = X/(24 + X)
And we know that this is equal to 1/2
Then:
X/(24 + X) = 1/2
X = (1/2)*(24 + X) = 24/2 + X/2
X = 12 + X/2
X - X/2 = 12
X/2 = 12
X = 2*12 = 24
Then Aisha has 24 2p coins.
Aisha has 24 2p coins and 24 1p coins, then she has in total:
2p*(24) + 1*p*(24) = 48p + 24p = 72p
Answer:
Kyle runs 0.1 miles every minute.
Step-by-step explanation:
Answer: 150c + 400t ≥ 4900
Step-by-step explanation:
Let the number of chairs sold = c
Let the number of tables sold = t
Price for each chair = $150
Price for each table = $400
The inequality that could represent the number of tables and chairs sold will be:
(150 × c) + (400 × t) ≥ 4900
150c + 400t ≥ 4900
Answer:
Step-by-step explanation:
