Answer:
D
Step-by-step explanation: The two angles are not equal. The alternate interior angles theorem states that if the alternate interior angles are equal when a pair of lines is cut by a transversal, the two lines are parallel. However, the two angles are not parallel, so the lines are not parallel.
Answers:
- Total amount of money = 220 dollars
- Amount Farah gets = 100 dollars
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Explanation:
- F = amount Farah gets
- S = amount Shaiyara gets
- Z = amount Zahin gets
The money is divided in the ratio 10:7:5
This means that
for some positive real number x.
Since Shaiyara gets $20 more than Zahin, we can say,
S = Z+20
Let's plug in S = 7x and Z = 5x and solve for x
S = Z+20
7x = 5x+20
7x-5x = 20
2x = 20
x = 20/2
x = 10
Therefore,
- F = 10x = 10*10 = 100
- S = 7x = 7*10 = 70
- Z = 5x = 5*10 = 50
The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.
The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.
Answer:
8n/9 - 4/3
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
a² + 7a + 7
a = 2
Plug in the value of 2 for every occurance of a.
(2)² + 7(2) + 7
First, solve the exponent.
4 + 7(2) + 7
Now, multiply.
4 + 14 + 7.
Add.
25
This is your answer.
Hope this helps!
