Answer:
If two parallel lines 
and 
are cut by a transversal, then the alternate interior angles are congruent.
Below is the prove of this.
Step-by-step explanation:
As we know that Alternate interior angles are two angles that are on the interior of and , but on opposite sides of the transversal.
In other words, If two parallel lines and are cut by a transversal, then the alternate interior angles are congruent.
Lets prove this.
Given: p ║ q
Prove: ∠1 ≅ ∠2
Statement Reasons
1. p ║ q 1. Given
2. ∠1 ≅ ∠3 2. Corresponding Angles Postulate
3. ∠3 ≅ ∠2 3. Vertical Angles Congruence Theorem
4. ∠1 ≅ ∠2 4. Transitive Property of Congruence
5x - 1 = 6x - 3
6x - 5x = -1 + 3
x = 2
LA = MA = NA = 5(2) - 1 = 10 - 1 = 9
answer is B. 9 units
Answer:prices = {"banana": 4, "apple": 2, "orange": 1.5, "pear": 3}
stock = {"banana": 6, "apple": 0, "orange": 32, "pear": 15}
for item in prices:
print item + ":"
print "price: " + str(prices[item])
print "stock: " + str(stock[item])
Step-by-step explanation:
prices = {"banana": 4, "apple": 2, "orange": 1.5, "pear": 3}
stock = {"banana": 6, "apple": 0, "orange": 32, "pear": 15}
for item in prices:
print item + ":"
print "price: " + str(prices[item])
print "stock: " + str(stock[item])
Answer:
The probability to the nearest thousandth is 0.386
Step-by-step explanation:
Firstly, we will need to know the number of girls and the total number of students in the class.
We have the ratio as 3:5 for boys and girls with the number of boys being 18
What we have is thus;
3:5 = 18:g
3/5 = 18/g
3g = 90
g = 90/3
g = 30 girls
Thus, we have 18 boys and 30 girls with a total of 48 students.
The probability that the teacher selects a girl to write the question on the board is 30/48 = 5/8
Now, we intend selecting another girl to answer the question. This is like a probability without replacement. So this means that the number of girls we have now is 29 and the number of students we are selecting from is 47 students
Thus, the probability of selecting a girl to answer the question becomes 29/47
The joint probability is thus; 29/47 * 5/8 = 145/376 = 0.3856
To the nearest thousandth, we have 0.386
Answer:
C.
Step-by-step explanation:
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